Edit Profile (opens in new tab) Basarab, Serban A. Co-Author Distance Author ID: basarab.serban-a Published as: Basarab, Şerban A.; Basarab, Serban A.; Basarab, Şerban; Basarab, A. Serban; Basarab, Serban; Basarab, A. S.; Basarab, S. A. more...less External Links: MGP Documents Indexed: 67 Publications since 1967 Reviewing Activity: 65 Reviews Biographic References: 1 Publication Co-Authors: 4 Co-Authors with 5 Joint Publications 113 Co-Co-Authors all top 5 Co-Authors 59 single-authored 2 Albu, Toma 2 Belioglo, A. I. 2 Kuhlmann, Franz-Viktor 1 Kiriyak, Liubomir L. 1 Nica, Vasile 1 Popescu, Dorin all top 5 Serials 12 Studii și Cercetări Matematice 10 Revue Roumaine de Mathématiques Pures et Appliquées 9 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 6 Journal of Pure and Applied Algebra 5 Manuscripta Mathematica 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Journal für die Reine und Angewandte Mathematik 2 Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik 1 Communications in Algebra 1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 1 Izvestiya Akademii Nauk Moldavskoĭ SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk 1 Journal of Algebra 1 The Journal of Symbolic Logic 1 Results in Mathematics 1 Annales Societatis Mathematicae Polonae. Series IV 1 Annals of Pure and Applied Logic 1 Serdica Mathematical Journal 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Journal of Algebra and its Applications 1 Seminarbericht. Humboldt-Universität zu Berlin, Fachbereich Mathematik all top 5 Fields 30 Field theory and polynomials (12-XX) 30 Group theory and generalizations (20-XX) 26 Mathematical logic and foundations (03-XX) 15 Algebraic geometry (14-XX) 11 Commutative algebra (13-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Combinatorics (05-XX) 3 Number theory (11-XX) 2 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 100 times in 63 Documents Cited by ▼ Year ▼ Relative elimination of quantifiers for Henselian valued fields. Zbl 0734.03021Basarab, Serban A. 19 1991 An isomorphism theorem for Henselian algebraic extensions of valued fields. Zbl 0773.12004Basarab, Serban A.; Kuhlmann, Franz-Viktor 12 1992 Definite functions on algebraic varieties over ordered fields. Zbl 0578.12019Basarab, Şerban A. 7 1984 The absolute Galois group of a pseudo real closed field with finitely many orders. Zbl 0595.12012Basarab, Şerban A. 5 1985 Osborn UAI-loops. Zbl 0439.20051Basarab, A. S.; Belioglo, A. I. 5 1979 Approximation properties and existential completeness for ring morphisms. Zbl 0472.13013Basarab, Serban; Nica, Vasile; Popescu, Dorin 5 1981 Some model theory for Henselian valued fields. Zbl 0424.03016Basarab, Serban A. 5 1978 A model-theoretic transfer theorem for henselian valued fields. Zbl 0409.12030Basarab, Serban A. 4 1979 An abstract cogalois theory for profinite groups. Zbl 1155.12303Albu, Toma; Basarab, Şerban A. 4 2005 On a problem raised by Alperin and Bass. Zbl 0808.20030Basarab, Şerban A. 3 1991 Towards a general theory of formally p-adic fields. Zbl 0451.12016Basarab, Serban A. 3 1980 Kneser subgroups of a profinite group. Zbl 1066.20032Basarab, S. A. 3 2004 On a class of WIP-loops. Zbl 0228.20067Basarab, A. S. 3 1967 Über eine Klasse von G-Loops. Zbl 0248.20091Basarab, A. S. 3 1968 On a problem raised by Alperin and Bass. I: Group actions on groupoids. Zbl 0741.20017Basarab, Şerban A. 2 1991 Universal-automorphic-inverse G-loops. Zbl 0445.20050Basarab, A. S.; Belioglo, A. I. 2 1979 On the elementary theories of Abelian profinite groups and Abelian torsion groups. Zbl 0388.03013Basarab, Serban A. 2 1977 Transfer principles for pseudo real closed e-fold ordered fields. Zbl 0633.03030Basarab, Şerban A. 2 1986 On some classes of Hilbertian fields. Zbl 0547.12016Basarab, Şerban A. 2 1984 Axioms for pseudo real closed fields. Zbl 0555.12009Basarab, Şerban A. 2 1984 Some metamathematical aspects of the theory of Henselian fields. Zbl 0295.12106Basarab, A. Serban 2 1973 Lattice-isomorphic groups, and infinite Abelian G-cogalois field extensions. Zbl 1032.12005Albu, Toma; Basarab, Şerban 2 2002 Isotopien von WIP-loops. Zbl 0238.20091Basarab, A. S. 2 1970 On discrete hyperbolic arboreal groups. Zbl 0921.20044Basarab, Şerban A. 2 1998 The dual of the category of generalized trees. Zbl 1032.08003Basarab, Şerban 2 2001 Cogalois and strongly Cogalois actions. Zbl 1170.20019Basarab, Şerban A. 1 2008 On a certain class of G-loops. Zbl 0588.20043Basarab, A. S.; Kiriyak, L. L. 1 1983 Some model theory for generalized trees. Zbl 0684.03013Basarab, Şerban A. 1 1989 Distributions on distributive lattices and profinite groups. Zbl 0699.06010Basarab, Şerban A. 1 1989 Model-theoretical methods in the theory of henselian valued fields. II. Zbl 0454.03013Basarab, Serban A. 1 1979 Extension of places and contraction properties for function fields over \(\mathfrak p\)-adically closed fields. Zbl 0491.12025Basarab, Serban A. 1 1981 Some remarks concerning the torsion points of elliptic curves. Zbl 0504.14023Basarab, Serban A. 1 1982 Commutative formal Moufang loops. Zbl 0336.20045Basarab, Serban A. 1 1976 Zur Theorie verallgemeinerter Bol-Loops. Zbl 0382.20058Basarab, A. S. 1 1976 Model-theoretical methods in the theory of Henselian valued fields. Zbl 0424.03015Basarab, Serban A. 1 1979 The diameter of the conjugates of a point on an elliptic curve. II. Zbl 0424.14014Basarab, Serban A. 1 1979 Kerne eines verallgemeinerten Bol-loop. Zbl 0427.20057Basarab, A. S. 1 1976 A Nullstellensatz over ordered fields. Zbl 0538.14001Basarab, Şerban A. 1 1983 Directions and foldings on generalized trees. Zbl 0888.68091Basarab, Şerban A. 1 1997 \(K\)-loops. Zbl 0900.20165Basarab, A. S. 1 1992 Der Kern eines verallgemeinerten Moufangschen Loops. Zbl 0248.20090Basarab, A. S. 1 1968 Cogalois and strongly Cogalois actions. Zbl 1170.20019Basarab, Şerban A. 1 2008 An abstract cogalois theory for profinite groups. Zbl 1155.12303Albu, Toma; Basarab, Şerban A. 4 2005 Kneser subgroups of a profinite group. Zbl 1066.20032Basarab, S. A. 3 2004 Lattice-isomorphic groups, and infinite Abelian G-cogalois field extensions. Zbl 1032.12005Albu, Toma; Basarab, Şerban 2 2002 The dual of the category of generalized trees. Zbl 1032.08003Basarab, Şerban 2 2001 On discrete hyperbolic arboreal groups. Zbl 0921.20044Basarab, Şerban A. 2 1998 Directions and foldings on generalized trees. Zbl 0888.68091Basarab, Şerban A. 1 1997 An isomorphism theorem for Henselian algebraic extensions of valued fields. Zbl 0773.12004Basarab, Serban A.; Kuhlmann, Franz-Viktor 12 1992 \(K\)-loops. Zbl 0900.20165Basarab, A. S. 1 1992 Relative elimination of quantifiers for Henselian valued fields. Zbl 0734.03021Basarab, Serban A. 19 1991 On a problem raised by Alperin and Bass. Zbl 0808.20030Basarab, Şerban A. 3 1991 On a problem raised by Alperin and Bass. I: Group actions on groupoids. Zbl 0741.20017Basarab, Şerban A. 2 1991 Some model theory for generalized trees. Zbl 0684.03013Basarab, Şerban A. 1 1989 Distributions on distributive lattices and profinite groups. Zbl 0699.06010Basarab, Şerban A. 1 1989 Transfer principles for pseudo real closed e-fold ordered fields. Zbl 0633.03030Basarab, Şerban A. 2 1986 The absolute Galois group of a pseudo real closed field with finitely many orders. Zbl 0595.12012Basarab, Şerban A. 5 1985 Definite functions on algebraic varieties over ordered fields. Zbl 0578.12019Basarab, Şerban A. 7 1984 On some classes of Hilbertian fields. Zbl 0547.12016Basarab, Şerban A. 2 1984 Axioms for pseudo real closed fields. Zbl 0555.12009Basarab, Şerban A. 2 1984 On a certain class of G-loops. Zbl 0588.20043Basarab, A. S.; Kiriyak, L. L. 1 1983 A Nullstellensatz over ordered fields. Zbl 0538.14001Basarab, Şerban A. 1 1983 Some remarks concerning the torsion points of elliptic curves. Zbl 0504.14023Basarab, Serban A. 1 1982 Approximation properties and existential completeness for ring morphisms. Zbl 0472.13013Basarab, Serban; Nica, Vasile; Popescu, Dorin 5 1981 Extension of places and contraction properties for function fields over \(\mathfrak p\)-adically closed fields. Zbl 0491.12025Basarab, Serban A. 1 1981 Towards a general theory of formally p-adic fields. Zbl 0451.12016Basarab, Serban A. 3 1980 Osborn UAI-loops. Zbl 0439.20051Basarab, A. S.; Belioglo, A. I. 5 1979 A model-theoretic transfer theorem for henselian valued fields. Zbl 0409.12030Basarab, Serban A. 4 1979 Universal-automorphic-inverse G-loops. Zbl 0445.20050Basarab, A. S.; Belioglo, A. I. 2 1979 Model-theoretical methods in the theory of henselian valued fields. II. Zbl 0454.03013Basarab, Serban A. 1 1979 Model-theoretical methods in the theory of Henselian valued fields. Zbl 0424.03015Basarab, Serban A. 1 1979 The diameter of the conjugates of a point on an elliptic curve. II. Zbl 0424.14014Basarab, Serban A. 1 1979 Some model theory for Henselian valued fields. Zbl 0424.03016Basarab, Serban A. 5 1978 On the elementary theories of Abelian profinite groups and Abelian torsion groups. Zbl 0388.03013Basarab, Serban A. 2 1977 Commutative formal Moufang loops. Zbl 0336.20045Basarab, Serban A. 1 1976 Zur Theorie verallgemeinerter Bol-Loops. Zbl 0382.20058Basarab, A. S. 1 1976 Kerne eines verallgemeinerten Bol-loop. Zbl 0427.20057Basarab, A. S. 1 1976 Some metamathematical aspects of the theory of Henselian fields. Zbl 0295.12106Basarab, A. Serban 2 1973 Isotopien von WIP-loops. Zbl 0238.20091Basarab, A. S. 2 1970 Über eine Klasse von G-Loops. Zbl 0248.20091Basarab, A. S. 3 1968 Der Kern eines verallgemeinerten Moufangschen Loops. Zbl 0248.20090Basarab, A. S. 1 1968 On a class of WIP-loops. Zbl 0228.20067Basarab, A. S. 3 1967 all cited Publications top 5 cited Publications all top 5 Cited by 59 Authors 15 Basarab, Serban A. 4 Cluckers, Raf 4 Popescu, Dorin 3 Kuhlmann, Franz-Viktor 3 Macintyre, Angus John 3 Montenegro, Samaria 2 Albu, Toma 2 D’Aquino, Paola 2 Derakhshan, Jamshid 2 Halupczok, Immanuel 2 Lee, Junguk 2 Nowak, Krzysztof Jan 2 Remeslennikov, Vladimir Nikanorovich 2 Rideau-Kikuchi, Silvain 2 Roman’kov, Vitaly Anatol’evich 1 Ackerman, Nathanael Leedom 1 Bennett, Curtis D. 1 Chatterji, Indira 1 Chiswell, Ian M. 1 Cubides Kovacsics, Pablo 1 Denef, Jan 1 Druţu, Cornelia 1 Durhan, Salih 1 Effiong, Gideon Okon 1 Eleftheriou, Pantelis E. 1 Ershov, Yuriĭ Leonidovich 1 Fehm, Arno 1 Galkin, Vladimir Michaĭlovich 1 Gorman, Alexi Block 1 Haglund, Frédéric 1 Halevi, Yatir 1 Haran, Dan 1 Hasson, Assaf 1 Hieronymi, Philipp 1 Jaíyéọlá, Tèmítọ́pẹ́ Gbọ́láhàn 1 Jarden, Moshe 1 Kaplan, Elliot 1 Kartas, Konstantinos 1 Koudela, E. 1 Lee, Wan 1 Leenknegt, Eva 1 León Sánchez, Omar 1 Lipshitz, Leonard 1 Loeser, François 1 Nguyen, Kien Huu 1 Nica, Vasile 1 Noskov, Guennadi A. 1 Onay, Gönenç 1 Pal, Koushik 1 Pfeifer, Michael 1 Point, Françoise 1 Rideau, Silvain 1 Roczen, Marko 1 Rond, Guillaume 1 Ruiz, Jesús M. 1 Skora, Richard K. 1 Touchard, Pierre 1 Vicaría, Mariana 1 Welzl, Emo all top 5 Cited in 32 Serials 9 Annals of Pure and Applied Logic 6 Journal of Pure and Applied Algebra 5 Manuscripta Mathematica 3 Journal of Algebra 3 Journal of Soviet Mathematics 3 The Journal of Symbolic Logic 2 Communications in Algebra 2 Transactions of the American Mathematical Society 2 Selecta Mathematica. New Series 2 Journal of the Institute of Mathematics of Jussieu 1 Israel Journal of Mathematics 1 Acta Mathematica 1 Advances in Mathematics 1 Archiv der Mathematik 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 Mathematical Logic Quarterly (MLQ) 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Mathematical Logic 1 Oberwolfach Reports 1 Proyecciones 1 Algebra & Number Theory 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Forum of Mathematics, Pi 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 21 Fields 37 Field theory and polynomials (12-XX) 36 Mathematical logic and foundations (03-XX) 16 Group theory and generalizations (20-XX) 14 Algebraic geometry (14-XX) 12 Number theory (11-XX) 8 Commutative algebra (13-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year