Edit Profile (opens in new tab) Mikhalëv, Aleksandr Vasil’evich (b. 1940 d. 2022) Co-Author Distance Author ID: mikhalev.aleksandr-v Published as: Mikhalev, A. V.; Mikhalëv, A. V.; Mikhalev, Alexander V.; Mikhalev, Alexander; Mikhalev, A.; Mikhalev, Aleksandr Vasil’evich; Mikhalev, Aleksandr V.; Mikhalev, Aleksander; Michalev, A. V. more...less Further Spellings: Михалёв Александр Васильевич External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 277 Publications since 1963, including 12 Books and 3 Additional arXiv Preprints 65 Contributions as Editor Biographic References: 14 Publications Co-Authors: 238 Co-Authors with 321 Joint Publications 4,383 Co-Co-Authors all top 5 Co-Authors 19 single-authored 56 Sadovnichiĭ, Viktor Antonovich 55 Gamkrelidze, Revaz Valerianovich 34 Beidar, Konstantin Igorevich 27 Zakharov, Valeriĭ Konstantinovich 22 Bunina, Elena Igor’evna 20 Arnautov, Vladimir Ivanovich 17 Skornyakov, Lev Anatolevich 15 Glavatskiĭ, Sergeĭ Timofeevich 15 Golubchik, Igor Z. 15 Knauer, Ulrich 14 Latyshev, Viktor Nikolaevich 14 Markov, Viktor Timofeevich 13 Tuganbaev, Askar Akanovich 12 Artamonov, Vyacheslav Aleksandrovich 12 Nechaev, Aleksandr Aleksandrovich 11 Balaba, Irina Nikolaevna 11 Pinchuk, I. A. 10 Shirshova, Elena Evgen’evna 9 Mikhalëv, Aleksandr Aleksandrovich 9 Pankrat’ev, Evgeniĭ Vasil’evich 9 Rodionov, Timofeĭ Viktorovich 9 Shatalova, M. A. 8 Levin, Alexander Borisovich 7 Kuz’min, Alekseĭ Sergeevich 7 Ol’shanskiĭ, Aleksandr Yur’evich 7 Zaĭtsev, Mikhail Vladimirovich 6 Kondrat’eva, Marina Vladimirovna 6 Kurakin, Vladimir Leonidovich 5 Chubarikov, Vladimir Nikolaevich 5 Golod, Evgeniĭ Solomonovich 5 Guterman, Alexander Èmilevich 5 Kanel’-Belov, Alekseĭ Yakovlevich 5 Krylov, Pëtr Andreevich 4 Chubarov, Igor A. 4 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 4 Kilp, Mati 4 Kozhukhov, Igor’ Borisovich 4 Pikhtilkov, Sergeĭ Alekseevich 4 Seredinskij, A. A. 4 Shestakov, Ivan Pavlovich 4 Shmel’kin, Al’fred L’vovich 4 Vinberg, Èrnest Borisovich 3 Bokut, Leonid A. 3 Borisenko, Vladimir V. 3 Gribov, Alexey V. 3 Kanunnikov, Andrei Leonidovich 3 Parshin, Alekseĭ Nikolaevich 3 Prokhorov, Yuriĭ Gennad’evich 3 Saliĭ, Vyacheslav Nikolaevich 3 Shafarevich, Andreĭ Igorevich 3 Stepanova, Alena Andreevna 3 Tenzina, V. V. 3 Zel’manov, Efim Isaakovich 2 Atkarskaya, A. S. 2 Bahturin, Yuri 2 Bazigaran, Behnam 2 Blagoveshchenskaya, Ekaterina Anatol’evna 2 Bukhshtaber, Viktor Matveevich 2 Buravlev, S. M. 2 Chepovskiĭ, A. A. 2 Dobrovol’skiĭ, Nikolai Nikolaevich 2 Ershov, Yuriĭ Leonidovich 2 Fong, Yuen 2 Glukhov, Mikhail Mikhaĭlovich 2 Grishin, Aleksandr V. 2 Igoshin, V. I. 2 Iskovskikh, Vasiliĭ Alekseevich 2 Kemer, Aleksandr Robertovich 2 Kharchenko, Vladislav K. 2 Kislitsyn, E. S. 2 Klein, I. S. 2 Klyachko, Anton Aleksandrovich 2 Kovalenko, A. P. 2 Kreĭnes, Elena M. 2 Kulikova, O. V. 2 Markova, Olga V. 2 Martindale, Wallace S. III 2 Medvedev, Yuriĭ Ivanovich 2 Mikhaĭlov, Vladimir Gavrilovich 2 Mishina, Anna Petrovna 2 Nemiro, V. V. 2 Nesterenko, Yuriĭ Valentinovich 2 Novikov, Sergeĭ Petrovich 2 Orlov, Dmitri O. 2 Ovchinnikova, E. V. 2 Palyutin, Evgeniĭ Andreevich 2 Pogorelov, Boris Aleksandrovich 2 Razmyslov, Yuri P. 2 Rebrova, Irina Yur’evna 2 Romanovskii, N. S. 2 Sachkov, Vladimir Nikolaevich 2 Salavova, Katarina 2 Slinko, Arkadii M. 2 Timashev, Dmitri A. 2 Vechtomov, E. M. 2 Vodinchar, M. I. 2 Vydrin, A. S. 2 Zalesski, Alexandre Efimovich 2 Zolotykh, P. A. 2 Zubkov, Andreĭ Mikhaĭlovich ...and 144 more Co-Authors all top 5 Serials 117 Journal of Mathematical Sciences (New York) 21 Fundamental’naya i Prikladnaya Matematika 15 Journal of Soviet Mathematics 14 Russian Mathematical Surveys 14 Chebyshevskiĭ Sbornik 13 Moscow University Mathematics Bulletin 7 Semigroup Forum 7 Doklady Mathematics 6 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 6 Trudy Seminara Imeni I. G. Petrovskogo 4 Mathematical Notes 4 Algebra and Logic 4 Matematicheskie Voprosy Kriptografii 3 Algebra i Logika 3 Journal of Algebra 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Acta Applicandae Mathematicae 3 Mathematics of the USSR, Sbornik 3 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Matematicheskie Zametki 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Journal of Pure and Applied Algebra 2 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 2 Soviet Mathematics. Doklady 2 Izvestiya: Mathematics 2 Abelevy Gruppy i Moduli 2 Sarajevo Journal of Mathematics 2 Pure and Applied Mathematics, Marcel Dekker 1 Communications in Algebra 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Archiv der Mathematik 1 Mathematische Zeitschrift 1 Programming and Computer Software 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Soviet Mathematics 1 International Journal of Algebra and Computation 1 Applicable Algebra in Engineering, Communication and Computing 1 Vestnik St. Petersburg University. Mathematics 1 Itogi Nauki i Tekhniki. Seriya Algebra. Topologiya. Geometriya 1 Sbornik: Mathematics 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 De Gruyter Expositions in Mathematics 1 De Gruyter Studies in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society 1 Algebra and Applications 1 Prikladnaya Diskretnaya Matematika all top 5 Fields 140 Associative rings and algebras (16-XX) 101 Group theory and generalizations (20-XX) 63 General and overarching topics; collections (00-XX) 38 Nonassociative rings and algebras (17-XX) 29 Order, lattices, ordered algebraic structures (06-XX) 28 Mathematical logic and foundations (03-XX) 22 Commutative algebra (13-XX) 20 History and biography (01-XX) 20 Topological groups, Lie groups (22-XX) 19 Field theory and polynomials (12-XX) 18 General topology (54-XX) 16 Measure and integration (28-XX) 13 General algebraic systems (08-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Information and communication theory, circuits (94-XX) 11 Functional analysis (46-XX) 10 Number theory (11-XX) 9 Computer science (68-XX) 8 Category theory; homological algebra (18-XX) 6 Partial differential equations (35-XX) 5 Combinatorics (05-XX) 5 Differential geometry (53-XX) 4 Real functions (26-XX) 3 Algebraic geometry (14-XX) 3 Ordinary differential equations (34-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 183 Publications have been cited 1,918 times in 1,469 Documents Cited by ▼ Year ▼ Rings with generalized identities. Zbl 0847.16001 Beidar, K. I.; Martindale, W. S. III; Mikhalev, A. V. 558 1996 Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers. Zbl 0945.20036 Kilp, Mati; Knauer, Ulrich; Mikhalev, Alexander V. 210 2000 Linear recurring sequences over rings and modules. Zbl 0859.11001 Kurakin, V. L.; Kuzmin, A. S.; Mikhalev, A. V.; Nechaev, A. A. 66 1995 Differential and difference dimension polynomials. Zbl 0930.12005 Kondratieva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankratiev, E. V. 57 1999 Endomorphism rings of Abelian groups. Zbl 1044.20037 Krylov, Piotr A.; Mikhalev, Alexander V.; Tuganbaev, Askar A. 49 2003 Introduction to the theory of topological rings and modules. Zbl 0842.16001 Arnautov, V. I.; Glavatsky, S. T.; Mikhalev, A. V. 44 1996 Lie isomorphisms in prime rings with involution. Zbl 0813.16020 Beidar, K. I.; Martindale, W. S. III; Mikhalev, A. V. 38 1994 Isomorphisms of a complete linear group over an associative ring. Zbl 0534.20033 Golubchik, I. Z.; Mikhalev, A. V. 30 1983 Endomorphism rings of Abelian groups. Zbl 1017.20047 Krylov, P. A.; Mikhalev, A. V.; Tuganbaev, A. A. 27 2002 Orthogonal completeness and algebraic systems. Zbl 0603.06003 Beidar, K. I.; Mikhalev, A. V. 26 1985 Properties of endomorphism rings of Abelian groups. II. Zbl 1054.20038 Krylov, P. A.; Mikhalev, A. V.; Tuganbaev, A. A. 26 2003 Semiprime rings with bounded indexes of nilpotent elements. Zbl 0682.16004 Beidar, K. I.; Mikhalev, A. V. 21 1988 Automorphisms and anti-automorphisms of the semigroup of invertible matrices with nonnegative elements. Zbl 0206.30502 Mikhalev, A. V.; Shatalova, M. A. 17 1970 Generalized identities and semiprime rings with involution. Zbl 0471.16008 Beidar, Constantin I.; Mikhalev, Alexander V.; Salavova, Catherine 17 1981 Associative rings. Zbl 0621.16001 Beĭdar, K. I.; Latyshev, V. N.; Markov, V. T.; Mikhalev, A. V.; Skornyakov, L. A.; Tuganbaev, A. A. 17 1987 On Mal’cev’s theorem on elementary equivalence of linear groups. Zbl 0796.20037 Beidar, K. I.; Mikhalev, A. V. 17 1992 A note on varieties of semiprime rings with semigroup identities. Zbl 0389.16006 Golubchik, Igor Z.; Mikhalev, Alexander 17 1978 Multiplicative classification of associative rings. Zbl 0645.16024 Mikhalev, A. V. 15 1988 Introduction to the theory of topological rings and modules. (Vvedenie v teoriyu topologicheskikh kolets i modulej). Zbl 0518.16013 Arnautov, V. I.; Vodinchar, M. I.; Mikhalev, A. V. 15 1981 Linear codes and polylinear recurrences over finite rings and modules (a survey). Zbl 0986.94034 Kurakin, V. L.; Kuzmin, A. S.; Markov, V. T.; Mikhalev, A. V.; Nechaev, A. A. 15 1999 Automorphisms of the semigroup of invertible matrices with non-negative elements. Zbl 1073.15011 Bunina, E. I.; Mikhalev, A. V. 15 2005 Orthogonal completeness and minimal prime ideals. Zbl 0569.16011 Beidar, K. I.; Mikhalev, A. V. 15 1984 Generalized polynomial identities and rings which are sums of two subrings. Zbl 0846.16016 Beidar, K. I.; Mikhalëv, A. V. 14 1995 Linear and polylinear recurring sequences over Abelian groups and modules. Zbl 1036.11003 Kurakin, V. L.; Mikhalev, A. V.; Nechaev, A. A.; Tsypyschev, V. N. 13 2000 Computation of dimension polynomials. Zbl 0774.12007 Kondrat’eva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankrat’ev, E. V. 12 1992 Functional identities in rings and their applications. Zbl 1078.16017 Beidar, K. I.; Mikhalev, A. V.; Chebotar, M. A. 12 2004 Structure of nondegenerate alternative algebras. Zbl 0653.17015 Beĭdar, K. I.; Mikhalev, A. V. 11 1987 Universal central extensions of the matrix Lie superalgebras \(\text{sl}(m,n,A)\). Zbl 1135.17301 Mikhalev, A. V.; Pinchuk, I. A. 11 2000 Cryptographic algorithms on groups and algebras. Zbl 1371.94645 Kuzmin, A. S.; Markov, V. T.; Mikhalev, A. A.; Mikhalev, A. V.; Nechaev, A. A. 11 2017 The concise handbook of algebra. Zbl 1008.00004 Mikhalev, A. V.; Pilz, Günter F. 11 2002 Model-theoretic properties of free, projective, and flat \(S\)-acts. Zbl 1288.03026 Gould, V.; Mikhalev, A.; Palyutin, E.; Stepanova, A. 11 2010 Generalized group identities in classical groups. Zbl 0498.20030 Golubchik, I. Z.; Mikhalev, A. V. 10 1982 Type and dimension of finitely generated \(G\)-algebras. Zbl 0840.13004 Levin, A. B.; Mikhalëv, A. V. 10 1995 The method of orthogonal completeness in the structure theory of rings. Zbl 0846.16001 Beidar, K. I.; Mikhalev, A. V. 10 1995 Multiplicative classification of associative rings. Zbl 0668.16019 Mikhalev, A. V. 9 1989 Linear recurring sequences over modules. Zbl 0854.11067 Mikhalev, A. V.; Nechaev, A. A. 9 1996 The prime radical of lattice-ordered groups. Zbl 0714.06008 Mikhalev, A. V.; Shatalova, M. A. 9 1990 Wreath products of acts over monoids. I: Regular and inverse acts. Zbl 0647.20070 Knauer, Ulrich; Mikhalev, Alexander V. 8 1988 Generalized identities and semiprime rings with involution. Zbl 0456.16021 Beidar, K. I.; Mikhalev, A. V.; Salavova, K. 8 1980 Nonassociative algebraic structures in cryptography and coding. Zbl 1455.94227 Markov, V. T.; Mikhalev, A. V.; Nechaev, A. A. 8 2020 A criterion for primeness of nondegenerate alternative and Jordan algebras. Zbl 0648.17010 Beĭdar, K. I.; Mikhalev, A. V.; Slin’ko, A. M. 7 1987 On varieties of algebras with semigroup identity. Zbl 0502.16014 Golubchik, I. Z.; Mikhalev, A. V. 7 1982 Generalized group identities in classical groups. Zbl 0548.20029 Golubchik, I. Z.; Mikhalev, A. V. 7 1984 Model theoretic properties of regular polygons. Zbl 1073.03020 Mikhalev, A. V.; Ovchinnikova, E. V.; Palyutin, A. A.; Stepanova, A. A. 7 2004 Modules. Zbl 0474.16001 Markov, V. T.; Mikhalev, A. V.; Skornyakov, L. A.; Tuganbaev, A. A. 7 1981 On the normal subgroups of the orthogonal group over a ring with involution. (Über normale Untergruppen einer orthogonalen Gruppe über einem Ring mit Involution.) Zbl 0239.20059 Vaserstein, L. N.; Mikhalev, A. V. 7 1972 Group rings. Zbl 0334.16011 Zalesskij, A. E.; Mikhalev, A. V. 7 1975 Endomorphism rings of modules and lattices of submodules. Zbl 0574.16019 Markov, V. T.; Mikhalev, A. V.; Skornyakov, L. A.; Tuganbaev, A. A. 7 1985 Orthogonally complete many-sorted algebraic systems. Zbl 0621.03023 Mikhalev, A. V. 7 1987 Isomorphisms and anti-isomorphisms of endomorphism rings of modules. Zbl 0881.16017 Mikhalev, A. V. 7 1996 Endomorphism monoids of free acts and O-wreath products of monoids. I. Annihilator properties. Zbl 0429.20060 Knauer, Ulrich; Mikhalev, Alexander 7 1980 Elementary equivalence of the semigroup of invertible matrices with nonnegative elements. Zbl 1150.20041 Bunina, E. I.; Mikhalev, A. V. 7 2008 Quotient rings of graded associative rings. I. Zbl 1282.16045 Balaba, I. N.; Kanunnikov, A. L.; Mikhalev, A. V. 7 2012 Epimorphisms of projective groups over associative rings. Zbl 0529.20033 Golubchik, I. Z.; Mikhalev, A. V. 6 1982 Semirings: sheaves; continuous functions; multiplicative structure. Zbl 1093.16505 Artamonova, I. I.; Chermnykh, C. V.; Mikhalev, A. V.; Varankina, V. I.; Vechtomov, E. M. 6 1999 Prime radical of \(\Omega\)-groups and \(\Omega\)-\(l\)-groups. Zbl 0941.06015 Mikhalëv, A. V.; Shatalova, M. A. 6 1998 Special structure spaces of rings. Zbl 0145.26401 Mikhalev, A. V. 6 1963 Endomorphism monoids of acts over monoids. Zbl 0258.20059 Knauer, Ulrich; Mikhalev, Alexander V. 6 1973 Group rings. (Gruppenringe.) Zbl 0293.16013 Zalesskiĭ, A. E.; Mikhalev, A. V. 6 1973 Jacobi’s bound for independent systems of algebraic partial differential equations. Zbl 1169.12002 Kondratieva, M. V.; Mikhalev, A. V.; Pankratiev, E. V. 6 2009 Elementary properties of linear groups and related problems. Zbl 1077.20059 Bunina, E. I.; Mikhalev, A. V. 6 2004 The prime radical of \(pl\)-groups. Zbl 1175.06008 Mikhalev, A. V.; Shirshova, E. E. 6 2008 The Riesz-Radon-Fréchet problem of characterization of integrals. Zbl 1208.28008 Zakharov, V. K.; Mikhalev, A. V.; Rodionov, T. V. 6 2010 Combinatorial and logical aspects of linear groups and Chevalley groups. Zbl 1122.20001 Bunina, E. I.; Mikhalev, A. V. 5 2005 Antiisomorphisms of endomorphism rings of modules close to free ones which are induced by Morita antiequivalences. Zbl 0917.16005 Beidar, K. I.; Mikhalev, A. V. 5 1996 Elementary subgroup of a unitary group over a PI-ring. Zbl 0571.20035 Golubchik, I. Z.; Mikhalev, A. V. 5 1985 The differential dimension polynomial and strength of a system of differential equations. Zbl 0722.12004 Levin, A. B.; Mikhalev, A. V. 5 1987 Construction of topological rings and modules. Ed. by V. A. Andrunakievich. (Konstruktsii topologicheskikh kolets i modulej.) Zbl 0661.16034 Arnautov, V. I.; Vodinchar, M. I.; Glavatskij, S. T.; Mikhalev, A. V. 5 1988 Characterization of general Radon integrals. Zbl 1229.46032 Zakharov, V. K.; Mikhalev, A. V.; Rodionov, T. V. 5 2010 Structure of nondegenerate alternative algebras. Zbl 0683.17016 Beĭdar, K. I.; Mikhalev, A. V. 4 1989 The problem of general Radon representation for an arbitrary Hausdorff space. Zbl 0967.28012 Zakharov, V. K.; Mikhalev, A. V. 4 1999 Anti-isomorphism of endomorphism rings of modules and Morita anti-equivalence. Zbl 0845.16010 Beidar, K. I.; Mikhalev, A. V. 4 1995 Endomorphism rings of modules and lattices of submodules. Zbl 0566.16018 Markov, V. T.; Mikhalev, A. V.; Skornyakov, L. A.; Tuganbaev, A. A. 4 1983 Unitary conformal Lie-Steinberg algebras. Zbl 1072.17011 Mikhalev, A. V.; Pinchuk, I. A. 4 2005 Distributive modules and rings and their close analogs. Zbl 0928.16003 Mikhalev, A. V.; Tuganbaev, A. A. 4 1999 Integral representation for Radon measures on an arbitrary Hausdorff space. Zbl 0937.28013 Mikhalev, A. V.; Zakharov, V. K. 4 1997 Isomorphisms and anti-isomorphisms of endomorphism rings of graded modules close to free ones. Zbl 1197.16043 Balaba, I. N.; Mikhalev, A. V. 4 2009 Isomorphisms of graded endomorphism rings of graded modules close to free ones. Zbl 1178.16039 Balaba, I. N.; Mikhalev, A. V. 4 2009 Primitive elements of free nonassociative algebras. Zbl 1215.17007 Mikhalev, A. A.; Mikhalev, A. V.; Chepovskiĭ, A. A.; Champagnier, K. 4 2009 On the sum of locally solvable ideals of Lie algebras. Zbl 1056.17016 Latyshev, V. N.; Mikhalev, A. V.; Pikhtil’kov, S. A. 4 2003 The problem of the general Radon representation for an arbitrary Hausdorff space. II. Zbl 1092.28009 Zakharov, V. K.; Mikhalev, A. V. 4 2002 Type and dimension of finitely generated vector \(G\)-spaces. Zbl 0745.12007 Levin, A. B.; Mikhalev, A. V. 4 1991 Endomorphism monoids of free acts and O-wreath products of monoids. II. Regularity. Zbl 0429.20061 Knauer, Ulrich; Mikhalev, Alexander 4 1980 Characterization of the space of Riemann integrable functions by means of cuts of the space of continuous functions. II. Zbl 1304.46006 Mikhalev, A. V.; Seredinskii, A. A.; Zakharov, V. K. 4 2008 Anti-isomorphisms of graded endomorphism rings of graded modules close to free ones. Zbl 1288.16055 Balaba, I. N.; Mikhalev, A. V. 4 2010 A construction of algebraic cryptosystem over the quasigroup ring. Zbl 1469.94100 Gribov, A. B.; Zolotykh, P. A.; Mikhalëv, A. V. 4 2010 Prime radicals of directed pseudo-ordered rings. Zbl 1505.06020 Mikhalev, A. V.; Shirshova, E. E. 4 2021 Wreath products of acts over monoids. II: Torsion free and divisible acts. Zbl 0676.20044 Kilp, Mati; Knauer, Ulrich; Mikhalev, Aleksander 3 1989 Differential dimension polynomial of a system of differential equations. Zbl 0498.12027 Mikhalev, A. V.; Pankrat’ev, E. V. 3 1980 Wreath products of ordered semigroups. I: General properties, idempotent and regular Cartesian isotone wreath products. Zbl 0524.06023 Knauer, Ulrich; Mikhalev, Alexander 3 1983 Isomorphisms of unitary groups over associative rings. Zbl 0566.20033 Golubchik, I. Z.; Mikhalev, A. V. 3 1985 Elementary equivalence of categories of modules over rings, endomorphism rings, and automorphism groups of modules. Zbl 1073.16001 Bunina, E. I.; Mikhalev, A. V. 3 2004 Elementary equivalence of endomorphism rings of Abelian \(p\)-groups. Zbl 1073.20045 Bunina, E. I.; Mikhalev, A. V. 3 2004 Abelian-regular positive semirings. Zbl 0984.16045 Chermnyh, V. V.; Mikhalev, A. V.; Vechtomov, E. M. 3 1997 The problem of integral representation for Radon measures on a Hausdorff space. Zbl 0967.28013 Zakharov, V. K.; Mikhalev, A. V. 3 1998 Codes and recurrences over finite rings and modules. Zbl 0971.94017 Kuzmin, A. S.; Kurakin, V. L.; Markov, V. T.; Mikhalev, A. V.; Nechaev, A. A. 3 1999 On a conception of a mathematical system. Zbl 0960.03004 Zakharov, V. K.; Mikhalëv, A. V. 3 1998 Radon problem for regular measures on an arbitrary Hausdorff space. Zbl 0937.28012 Zakharov, V. K.; Mikhalev, A. V. 3 1997 Connections between the integral Radon representations for locally compact and Hausdorff spaces. Zbl 1015.43001 Zakharov, V. K.; Mikhalev, A. V. 3 2001 Universal central extensions of conformal Lie algebras. Zbl 1101.17017 Mikhalev, A. V.; Pinchuk, I. A. 3 2005 Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules. Zbl 07659861 Blagoveshchenskaya, E. A.; Mikhalev, A. V. 1 2023 Interpolation pseudo-ordered rings. Zbl 07659865 Mikhalev, A. V.; Shirshova, E. E. 1 2023 Prime radicals of directed pseudo-ordered algebras over directed fields. Zbl 1521.06010 Mikhalev, A. V.; Shirshova, E. E. 1 2023 The projective geometry over partially ordered skew fields. Zbl 07538685 Mikhalev, A. V.; Shirshova, E. E. 1 2022 Prime radicals of directed pseudo-ordered rings. Zbl 1505.06020 Mikhalev, A. V.; Shirshova, E. E. 4 2021 The projective geometry over partially ordered skew fields. II. Zbl 1473.51011 Mikhalev, Aleksandr Vasil’evich; Shirshova, Elena Evgen’evna 1 2021 Nonassociative algebraic structures in cryptography and coding. Zbl 1455.94227 Markov, V. T.; Mikhalev, A. V.; Nechaev, A. A. 8 2020 Sets, functions, measures. Volume 2: Fundamentals of functions and measure theory. Zbl 06817012 Zakharov, Valeriy K.; Rodionov, Timofey V.; Mikhalev, Alexander V. 2 2018 Groups of quotients of semigroups of invertible nonnegative matrices over skewfields. Zbl 1397.20072 Bunina, E. I.; Mikhalev, A. V.; Nemiro, V. V. 1 2018 Graded division rings. Zbl 1438.16080 Balaba, Irina N.; Mikhalev, Alexander V. 1 2018 Cryptographic algorithms on groups and algebras. Zbl 1371.94645 Kuzmin, A. S.; Markov, V. T.; Mikhalev, A. A.; Mikhalev, A. V.; Nechaev, A. A. 11 2017 Alexandr Alexandrovich Nechaev (7.8.1945–14.11.2014). Zbl 1369.01021 Glukhov, M. M.; Zaitsev, M. V.; Kuzmin, A. S.; Latyshev, V. N.; Markov, V. T.; Mikhalev, A. V.; Mikhalev, A. A.; Chubarov, Igor A. 1 2017 A criterion for the elementary equivalence of endomorphism rings and automorphism groups of Abelian \(p\)-groups. Zbl 1306.20038 Bunina, E. I.; Mikhalev, A. V.; Roizner, M. A. 2 2014 Cyclic types of families of polylinear recurrent sequences and generators of pseudorandom numbers. Zbl 1476.11030 Mikhalev, A. V.; Nechaev, A. A. 2 2014 Quotient rings of graded associative rings. I. Zbl 1282.16045 Balaba, I. N.; Kanunnikov, A. L.; Mikhalev, A. V. 7 2012 Characterization of Radon integrals as linear functionals. Zbl 1358.28010 Zakharov, V. K.; Mikhalev, A. V.; Rodionov, T. V. 3 2012 Quasigroups and rings in coding theory and cryptography. Zbl 1492.94219 Markov, V. T.; Mikhalev, A. V.; Gribov, A. V.; Zolotykh, P. A.; Skazhenik, S. S. 2 2012 The topological Jacobson radical of rings. I. Zbl 1262.16049 Glavatsky, S. T.; Mikhalev, A. V.; Tenzina, V. V. 2 2012 The topological Jacobson radical of rings. II. Zbl 1262.16050 Glavatsky, S. T.; Mikhalev, A. V.; Tenzina, V. V. 1 2012 Characterization of integrals with respect to arbitrary Radon measures by the boundedness indices. Zbl 1268.28001 Zakharov, V. K.; Mikhalev, A. V.; Rodionov, T. V. 1 2012 Model-theoretic properties of free, projective, and flat \(S\)-acts. Zbl 1288.03026 Gould, V.; Mikhalev, A.; Palyutin, E.; Stepanova, A. 11 2010 The Riesz-Radon-Fréchet problem of characterization of integrals. Zbl 1208.28008 Zakharov, V. K.; Mikhalev, A. V.; Rodionov, T. V. 6 2010 Characterization of general Radon integrals. Zbl 1229.46032 Zakharov, V. K.; Mikhalev, A. V.; Rodionov, T. V. 5 2010 Anti-isomorphisms of graded endomorphism rings of graded modules close to free ones. Zbl 1288.16055 Balaba, I. N.; Mikhalev, A. V. 4 2010 A construction of algebraic cryptosystem over the quasigroup ring. Zbl 1469.94100 Gribov, A. B.; Zolotykh, P. A.; Mikhalëv, A. V. 4 2010 Primitive elements of free commutative and anticommutative nonassociative algebras. Zbl 1249.17013 Mikhalev, A. A.; Mikhalev, A. V.; Chepovskiĭ, A. A. 1 2010 Universal central extensions of Lie conformal algebras, part 2: Supercase. Zbl 1304.17013 Mikhalev, A. V.; Pinchuk, I. A. 1 2010 Jacobi’s bound for independent systems of algebraic partial differential equations. Zbl 1169.12002 Kondratieva, M. V.; Mikhalev, A. V.; Pankratiev, E. V. 6 2009 Isomorphisms and anti-isomorphisms of endomorphism rings of graded modules close to free ones. Zbl 1197.16043 Balaba, I. N.; Mikhalev, A. V. 4 2009 Isomorphisms of graded endomorphism rings of graded modules close to free ones. Zbl 1178.16039 Balaba, I. N.; Mikhalev, A. V. 4 2009 Primitive elements of free nonassociative algebras. Zbl 1215.17007 Mikhalev, A. A.; Mikhalev, A. V.; Chepovskiĭ, A. A.; Champagnier, K. 4 2009 Jacobi’s bound for systems of algebraic differential equations. Zbl 1288.13020 Kondratieva, M. V.; Mikhalev, A. V.; Pankratiev, E. V. 2 2009 Elementary equivalence of the semigroup of invertible matrices with nonnegative elements. Zbl 1150.20041 Bunina, E. I.; Mikhalev, A. V. 7 2008 The prime radical of \(pl\)-groups. Zbl 1175.06008 Mikhalev, A. V.; Shirshova, E. E. 6 2008 Characterization of the space of Riemann integrable functions by means of cuts of the space of continuous functions. II. Zbl 1304.46006 Mikhalev, A. V.; Seredinskii, A. A.; Zakharov, V. K. 4 2008 Prime radicals of graded \(\Omega\)-groups. Zbl 1153.08001 Mikhalev, A. V.; Balaba, I. N.; Pikhtil’kov, S. A. 2 2008 Prime radicals of \(AO\)-groups. Zbl 1156.06011 Mikhalev, A. V.; Shirshova, E. E. 2 2008 Semirings of cyclic types. Zbl 1167.16037 Mikhalev, A. V.; Nechaev, A. A.; Prudnikov, A. V.; Staroverov, M. S.; Vydrin, A. S. 1 2008 Optimal use of wavelet components. Zbl 1206.42041 Mikhalev, A. V.; Shokurov, A. V. 2 2007 Local theory of sets as a foundation for category theory and its connection with the Zermelo-Fraenkel set theory. Zbl 1142.03030 Zakharov, V. K.; Bunina, E. I.; Mikhalev, A. V.; Andreev, P. V. 1 2006 Automorphisms of the semigroup of invertible matrices with non-negative elements. Zbl 1073.15011 Bunina, E. I.; Mikhalev, A. V. 15 2005 Combinatorial and logical aspects of linear groups and Chevalley groups. Zbl 1122.20001 Bunina, E. I.; Mikhalev, A. V. 5 2005 Unitary conformal Lie-Steinberg algebras. Zbl 1072.17011 Mikhalev, A. V.; Pinchuk, I. A. 4 2005 Universal central extensions of conformal Lie algebras. Zbl 1101.17017 Mikhalev, A. V.; Pinchuk, I. A. 3 2005 The universal central extension \(Q(n,A)\) of Lie superalgebras. Zbl 1261.17019 Mikhalëv, A. V.; Pinchuk, I. A. 2 2005 Density theorems for graded rings. Zbl 1073.16040 Balaba, I. N.; Limarenko, S. V.; Mikhalev, A. V.; Zelenov, S. V. 1 2005 General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004 Guterman, A. E.; Mikhalev, A. V. 1 2005 Conformal Steinberg algebras. Zbl 1096.17008 Mikhalëv, A. V.; Pinchuk, I. A. 1 2005 Elementary equivalence of endomorphism monoids of free polygons. Zbl 1262.20065 Bunina, E. I.; Mikhalev, A. V. 1 2005 Functional identities in rings and their applications. Zbl 1078.16017 Beidar, K. I.; Mikhalev, A. V.; Chebotar, M. A. 12 2004 Model theoretic properties of regular polygons. Zbl 1073.03020 Mikhalev, A. V.; Ovchinnikova, E. V.; Palyutin, A. A.; Stepanova, A. A. 7 2004 Elementary properties of linear groups and related problems. Zbl 1077.20059 Bunina, E. I.; Mikhalev, A. V. 6 2004 Elementary equivalence of categories of modules over rings, endomorphism rings, and automorphism groups of modules. Zbl 1073.16001 Bunina, E. I.; Mikhalev, A. V. 3 2004 Elementary equivalence of endomorphism rings of Abelian \(p\)-groups. Zbl 1073.20045 Bunina, E. I.; Mikhalev, A. V. 3 2004 Automorphisms and derivations of conformal Lie algebras, and their central extensions. Zbl 1136.17022 Mikhalev, A. V.; Pinchuk, I. A. 2 2004 Endomorphism rings of Abelian groups. Zbl 1044.20037 Krylov, Piotr A.; Mikhalev, Alexander V.; Tuganbaev, Askar A. 49 2003 Properties of endomorphism rings of Abelian groups. II. Zbl 1054.20038 Krylov, P. A.; Mikhalev, A. V.; Tuganbaev, A. A. 26 2003 On the sum of locally solvable ideals of Lie algebras. Zbl 1056.17016 Latyshev, V. N.; Mikhalev, A. V.; Pikhtil’kov, S. A. 4 2003 Combinatorial properties of free algebras of Schreier varieties. Zbl 1107.17300 Artamonov, Vyacheslav A.; Mikhalev, Alexander A.; Mikhalev, Alexander V. 2 2003 The central closure of simple “strange” Lie superalgebras extended over a commutative algebra. Zbl 1072.17010 Mikhalev, A. V.; Pinchuk, I. A. 1 2003 Linear recurrent sequences and their applications. Zbl 1104.11303 Kuz’min, A. S.; Kurakin, V. L.; Markov, V. T.; Mikhalëv, A. V.; Nechaev, A. A. 1 2003 Endomorphism rings of Abelian groups. Zbl 1017.20047 Krylov, P. A.; Mikhalev, A. V.; Tuganbaev, A. A. 27 2002 The concise handbook of algebra. Zbl 1008.00004 Mikhalev, A. V.; Pilz, Günter F. 11 2002 The problem of the general Radon representation for an arbitrary Hausdorff space. II. Zbl 1092.28009 Zakharov, V. K.; Mikhalev, A. V. 4 2002 Properties of endomorphism rings of Abelian groups. I. Zbl 1041.20039 Krylov, P. A.; Mikhalev, A. V.; Tuganbaev, A. A. 2 2002 Elementary properties of linear and algebraic groups. Zbl 1006.20039 Bunina, E. I.; Mikhalev, A. V. 2 2002 Connections between the integral Radon representations for locally compact and Hausdorff spaces. Zbl 1015.43001 Zakharov, V. K.; Mikhalev, A. V. 3 2001 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516 Vinberg, È. B.; Golod, E. S.; Zel’manov, E. I.; Iskovskikh, V. A.; Latyshev, V. N.; Manin, Yu. I.; Mikhalev, A. V.; Parshin, A. N.; Shafarevich, I. R.; Shmel’kin, A. L. 1 2001 Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers. Zbl 0945.20036 Kilp, Mati; Knauer, Ulrich; Mikhalev, Alexander V. 210 2000 Linear and polylinear recurring sequences over Abelian groups and modules. Zbl 1036.11003 Kurakin, V. L.; Mikhalev, A. V.; Nechaev, A. A.; Tsypyschev, V. N. 13 2000 Universal central extensions of the matrix Lie superalgebras \(\text{sl}(m,n,A)\). Zbl 1135.17301 Mikhalev, A. V.; Pinchuk, I. A. 11 2000 Infinite Abelian groups: methods and results. Zbl 0976.20035 Mikhalev, A. V.; Mishina, A. P. 2 2000 Elementary equivalence of linear and algebraic groups. Zbl 1010.20032 Bunina, E. I.; Mikhalev, A. V. 2 2000 Mathematical systems. Zbl 0961.03010 Zakharov, V. K.; Mikhalev, A. V. 1 2000 Polylinear recurring sequences over a bimodule. Zbl 0992.94026 Kurakin, V. L.; Mikhalev, A. V.; Nechaev, A. A. 1 2000 Differential and difference dimension polynomials. Zbl 0930.12005 Kondratieva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankratiev, E. V. 57 1999 Linear codes and polylinear recurrences over finite rings and modules (a survey). Zbl 0986.94034 Kurakin, V. L.; Kuzmin, A. S.; Markov, V. T.; Mikhalev, A. V.; Nechaev, A. A. 15 1999 Semirings: sheaves; continuous functions; multiplicative structure. Zbl 1093.16505 Artamonova, I. I.; Chermnykh, C. V.; Mikhalev, A. V.; Varankina, V. I.; Vechtomov, E. M. 6 1999 The problem of general Radon representation for an arbitrary Hausdorff space. Zbl 0967.28012 Zakharov, V. K.; Mikhalev, A. V. 4 1999 Distributive modules and rings and their close analogs. Zbl 0928.16003 Mikhalev, A. V.; Tuganbaev, A. A. 4 1999 Codes and recurrences over finite rings and modules. Zbl 0971.94017 Kuzmin, A. S.; Kurakin, V. L.; Markov, V. T.; Mikhalev, A. V.; Nechaev, A. A. 3 1999 A two-sorted theory of classes and sets, admitting sets of propositional formulas. Zbl 0959.03035 Zakharov, V. K.; Mikhalev, A. V. 1 1999 Prime radical of \(\Omega\)-groups and \(\Omega\)-\(l\)-groups. Zbl 0941.06015 Mikhalëv, A. V.; Shatalova, M. A. 6 1998 The problem of integral representation for Radon measures on a Hausdorff space. Zbl 0967.28013 Zakharov, V. K.; Mikhalev, A. V. 3 1998 On a conception of a mathematical system. Zbl 0960.03004 Zakharov, V. K.; Mikhalëv, A. V. 3 1998 Integral representation for Radon measures on an arbitrary Hausdorff space. Zbl 0937.28013 Mikhalev, A. V.; Zakharov, V. K. 4 1997 Abelian-regular positive semirings. Zbl 0984.16045 Chermnyh, V. V.; Mikhalev, A. V.; Vechtomov, E. M. 3 1997 Radon problem for regular measures on an arbitrary Hausdorff space. Zbl 0937.28012 Zakharov, V. K.; Mikhalev, A. V. 3 1997 Rings with generalized identities. Zbl 0847.16001 Beidar, K. I.; Martindale, W. S. III; Mikhalev, A. V. 558 1996 Introduction to the theory of topological rings and modules. Zbl 0842.16001 Arnautov, V. I.; Glavatsky, S. T.; Mikhalev, A. V. 44 1996 Linear recurring sequences over modules. Zbl 0854.11067 Mikhalev, A. V.; Nechaev, A. A. 9 1996 Isomorphisms and anti-isomorphisms of endomorphism rings of modules. Zbl 0881.16017 Mikhalev, A. V. 7 1996 Antiisomorphisms of endomorphism rings of modules close to free ones which are induced by Morita antiequivalences. Zbl 0917.16005 Beidar, K. I.; Mikhalev, A. V. 5 1996 First international Tainan-Moscow algebra workshop. Proceedings of the international conference, Tainan, Taiwan, Republic of China, July 23–August 22, 1994. Zbl 0856.00015 1 1996 Semigroups with generalized polynomial identities. Zbl 0869.20041 Beidar, K. I.; Fong, Y.; Knauer, U.; Mikhalev, A. V.; Shum, K. P. 1 1996 Linear recurring sequences over rings and modules. Zbl 0859.11001 Kurakin, V. L.; Kuzmin, A. S.; Mikhalev, A. V.; Nechaev, A. A. 66 1995 Generalized polynomial identities and rings which are sums of two subrings. Zbl 0846.16016 Beidar, K. I.; Mikhalëv, A. V. 14 1995 Type and dimension of finitely generated \(G\)-algebras. Zbl 0840.13004 Levin, A. B.; Mikhalëv, A. V. 10 1995 The method of orthogonal completeness in the structure theory of rings. Zbl 0846.16001 Beidar, K. I.; Mikhalev, A. V. 10 1995 Anti-isomorphism of endomorphism rings of modules and Morita anti-equivalence. Zbl 0845.16010 Beidar, K. I.; Mikhalev, A. V. 4 1995 ...and 83 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 958 Authors 79 Mikhalëv, Aleksandr Vasil’evich 69 De Filippis, Vincenzo 62 Lee, Tsiu-Kwen 38 Beidar, Konstantin Igorevich 35 Brešar, Matej 34 Chebotar, Mikhail A. 32 Chuang, Chen-Lian 32 Liu, Cheng-Kai 31 Bunina, Elena Igor’evna 31 Dhara, Basudeb 30 Tuganbaev, Askar Akanovich 29 Raza, Mohd Arif 28 Rehman, Nadeem-Ur 24 Krylov, Pëtr Andreevich 23 Chekhlov, Andreĭ Rostislavovich 21 Stepanova, Alena Andreevna 20 Ali, Shakir 20 Scudo, Giovanni 20 Wang, Yu 18 Knauer, Ulrich 17 Goméz Lozano, Miguel Ángel 16 Argaç, Nurcan 16 Fošner, Maja 16 Levin, Alexander Borisovich 16 Tiwari, Shailesh Kumar 16 Vukman, Joso 15 Cabrera García, Miguel 15 Chistyakov, Denis Sergeevich 14 Lyubimtsev, Oleg Vladimirovich 14 Mahmoudi, Mojgan 14 Nechaev, Aleksandr Aleksandrovich 13 Lee, Pjek-Hwee 13 Wong, Tsai-Lien 12 Ke, Wen-Fong 12 Kozhukhov, Igor’ Borisovich 12 Mai Hoang Bien 12 Zakharov, Valeriĭ Konstantinovich 11 Fong, Yuen 11 Huang, Shuliang 11 Kondrat’eva, Marina Vladimirovna 10 Carini, Luisa 10 García González, Esther 10 Gould, Victoria A. R. 10 Kamlovskiĭ, Oleg Vital’evich 10 Rahman Mozumder, Muzibur 10 Rasouli, Hamid 10 Shirshova, Elena Evgen’evna 9 Arnautov, Vladimir Ivanovich 9 Fernández López, Antonio 9 Kanunnikov, Andrei Leonidovich 9 Li, Wei 9 Misyakov, Victor Mikhajlovich 9 Sandhu, Gurninder Singh 8 Ashraf, Mohammad 8 Eremita, Daniel 8 Kępczyk, Marek 8 Marcen, Benjamin 8 Martindale, Wallace S. III 8 Wei, Feng 7 Albaş, Emine 7 Ali, Asma 7 Blagoveshchenskaya, Ekaterina Anatol’evna 7 Bui Xuan Hai 7 Cabello, Juan Carlos 7 Danchev, Peter Vassilev 7 Golchin, Akbar 7 Gol’tvanitsa, M. A. 7 Khan, Mohammad Salahuddin 7 Khosravi, Bahman 7 Khosravi, Roghaieh 7 Laan, Valdis 7 Lin, Jheng-Huei 7 Markov, Viktor Timofeevich 7 Mikhalëv, Aleksandr Aleksandrovich 7 Ovchinnikov, Alexey Igorevich 7 Prajapati, Balchand 7 Puczyłowski, Edmund Ryszard 7 Rania, Francesco 7 Rodionov, Timofeĭ Viktorovich 7 Rodríguez Palacios, Angel 7 Rúa, Ignacio Fernández 7 Saany, Hossein Mohammadzadeh 7 Shujat, Faiza 7 Siddeeque, Mohammad Aslam 7 Stepanov, Alexeĭ Vladimirovich 7 Tsai, Yuan-Tsung 6 Abbasi, Adnan 6 Atkarskaya, A. S. 6 Bahturin, Yuri 6 Bylkov, Daniil Nikolaevich 6 Di Vincenzo, Onofrio Mario 6 Ebrahimi, Mohammad Mehdi 6 Fošner, Ajda 6 Garcia-Pacheco, Francisco Javier 6 Golubkov, Artem Yu. 6 Koşan, Muhammet Tamer 6 Montaner, Fernando 6 Shahbaz, Leila 6 Sharma, Rajendra Kumar 6 Siles Molina, Mercedes ...and 858 more Authors all top 5 Cited in 205 Serials 191 Journal of Mathematical Sciences (New York) 185 Communications in Algebra 81 Journal of Algebra 65 Semigroup Forum 36 Algebra and Logic 36 Journal of Algebra and its Applications 32 Mathematical Notes 27 Linear Algebra and its Applications 25 Siberian Mathematical Journal 23 Matematicheskie Voprosy Kriptografii 21 Linear and Multilinear Algebra 21 Journal of Pure and Applied Algebra 19 Algebras and Representation Theory 17 Monatshefte für Mathematik 16 Journal of Soviet Mathematics 16 Mediterranean Journal of Mathematics 15 Proceedings of the American Mathematical Society 14 Israel Journal of Mathematics 14 Rendiconti del Circolo Matemàtico di Palermo. 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