Edit Profile (opens in new tab) Goldie, Alfred W. (b. 1920 d. 2005) Co-Author Distance Author ID: goldie.alfred-w Published as: Goldie, A. W.; Goldie, Alfred; Goldie, Alfred W.; Goldie, A. more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 37 Publications since 1950, including 1 Book Biographic References: 1 Publication Co-Authors: 7 Co-Authors with 10 Joint Publications 141 Co-Co-Authors all top 5 Co-Authors 26 single-authored 4 Krause, Günter 2 Bonsall, Frank Featherstone 2 Small, Lance W. 1 Chatters, A. W. 1 Hajarnavis, Charudatta R. 1 Hamernik, Wolfgang 1 Lenagan, Thomas H. 1 Michler, Gerhard O. all top 5 Serials 11 Journal of Algebra 4 Proceedings of the London Mathematical Society. Third Series 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the Cambridge Philosophical Society 2 Journal of the London Mathematical Society 1 Israel Journal of Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the London Mathematical Society. Second Series Fields 23 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 589 times in 464 Documents Cited by ▼ Year ▼ Semi-prime rings with maximum condition. Zbl 0091.03304Goldie, A. W. 175 1960 The structure of prime rings under ascending chain conditions. Zbl 0084.03705Goldie, A. W. 81 1958 Torsion-free modules and rings. Zbl 0145.26804Goldie, A. W. 73 1964 Localization in non-commutative Noetherian rings. Zbl 0154.28801Goldie, A. W. 46 1967 Ore extensions and polycyclic group rings. Zbl 0294.16019Goldie, Alfred; Michler, Gerhard 42 1974 Non-commutative principal ideal rings. Zbl 0101.27304Goldie, A. W. 38 1962 Annihilator algebras. Zbl 0055.10602Bonsall, F. F.; Goldie, A. W. 17 1954 Reduced rank in Noetherian rings. Zbl 0436.16009Chatters, A. W.; Goldie, A. W.; Hajarnavis, C. R.; Lenagan, T. H. 17 1979 The structure of Noetherian rings. Zbl 0237.16004Goldie, Alfred W. 13 1972 Some aspect of ring theory. Zbl 0186.34601Goldie, A. W. 10 1969 Artinian quotient rings of ideal invariant Noetherian rings. Zbl 0428.16004Goldie, Alfred; Krause, Günter 9 1980 A note on noncommutative localization. Zbl 0155.07602Goldie, A. W. 8 1968 The Jordan-Hölder theorem for general abstract algebras. Zbl 0038.17002Goldie, A. W. 7 1950 The reduced rank in Noetherian rings. Zbl 0467.16021Goldie, A. W. 6 1981 Properties of the idealiser. Zbl 0236.16016Goldie, A. W. 5 1972 A study in Krull dimension. Zbl 0255.16011Goldie, Alfred; Small, Lance 5 1973 A note on rings of endomorphisms. Zbl 0269.16015Goldie, Alfred; Small, Lance W. 5 1973 The scope of the Jordan-Hölder theorem in abstract algebra. Zbl 0046.03001Goldie, A. W. 4 1952 Strongly regular elements of Noetherian rings. Zbl 0551.16005Goldie, Alfred; Krause, Günter 4 1984 Associated series and regular elements of Noetherian rings. Zbl 0621.16014Goldie, Alfred; Krause, Günter 3 1987 Decompositions of semi-simple rings. Zbl 0070.03003Goldie, A. W. 3 1956 The structure of prime rings with maximum conditions. Zbl 0088.03401Goldie, A. W. 3 1958 On direct decompositions. I; II. Zbl 0046.02901Goldie, A. W. 2 1952 Azumaya algebras and rings with polynomial identity (Addendum). Zbl 0332.16009Goldie, Alfred 2 1976 Reduced rank on modules. Application to some theorems on Noetherian rings. Zbl 0394.16012Goldie, A. 2 1978 Lectures on quotient rings and rings with polynomial identities. Notes by Wolfgang Hamernik. Zbl 0312.16001Goldie, A. W. 2 1974 Azumaya algebras and rings with polynomial identity. Zbl 0322.16006Goldie, Alfred 2 1976 A note on prime rings with polynomial identities. Zbl 0207.04602Goldie, A. W. 1 1969 A note on the intersection theorem. Zbl 0087.02902Goldie, A. W. 1 1959 Embedding rings with Krull dimension in Artinian rings. Zbl 0861.16015Goldie, Alfred; Krause, Günter 1 1996 Some recent developments in ring theory. Zbl 0297.16001Goldie, Alfred 1 1975 A survey of progress in non-commutative Noetherian rings. Zbl 0435.16007Goldie, Alfred 1 1979 Embedding rings with Krull dimension in Artinian rings. Zbl 0861.16015Goldie, Alfred; Krause, Günter 1 1996 Associated series and regular elements of Noetherian rings. Zbl 0621.16014Goldie, Alfred; Krause, Günter 3 1987 Strongly regular elements of Noetherian rings. Zbl 0551.16005Goldie, Alfred; Krause, Günter 4 1984 The reduced rank in Noetherian rings. Zbl 0467.16021Goldie, A. W. 6 1981 Artinian quotient rings of ideal invariant Noetherian rings. Zbl 0428.16004Goldie, Alfred; Krause, Günter 9 1980 Reduced rank in Noetherian rings. Zbl 0436.16009Chatters, A. W.; Goldie, A. W.; Hajarnavis, C. R.; Lenagan, T. H. 17 1979 A survey of progress in non-commutative Noetherian rings. Zbl 0435.16007Goldie, Alfred 1 1979 Reduced rank on modules. Application to some theorems on Noetherian rings. Zbl 0394.16012Goldie, A. 2 1978 Azumaya algebras and rings with polynomial identity (Addendum). Zbl 0332.16009Goldie, Alfred 2 1976 Azumaya algebras and rings with polynomial identity. Zbl 0322.16006Goldie, Alfred 2 1976 Some recent developments in ring theory. Zbl 0297.16001Goldie, Alfred 1 1975 Ore extensions and polycyclic group rings. Zbl 0294.16019Goldie, Alfred; Michler, Gerhard 42 1974 Lectures on quotient rings and rings with polynomial identities. Notes by Wolfgang Hamernik. Zbl 0312.16001Goldie, A. W. 2 1974 A study in Krull dimension. Zbl 0255.16011Goldie, Alfred; Small, Lance 5 1973 A note on rings of endomorphisms. Zbl 0269.16015Goldie, Alfred; Small, Lance W. 5 1973 The structure of Noetherian rings. Zbl 0237.16004Goldie, Alfred W. 13 1972 Properties of the idealiser. Zbl 0236.16016Goldie, A. W. 5 1972 Some aspect of ring theory. Zbl 0186.34601Goldie, A. W. 10 1969 A note on prime rings with polynomial identities. Zbl 0207.04602Goldie, A. W. 1 1969 A note on noncommutative localization. Zbl 0155.07602Goldie, A. W. 8 1968 Localization in non-commutative Noetherian rings. Zbl 0154.28801Goldie, A. W. 46 1967 Torsion-free modules and rings. Zbl 0145.26804Goldie, A. W. 73 1964 Non-commutative principal ideal rings. Zbl 0101.27304Goldie, A. W. 38 1962 Semi-prime rings with maximum condition. Zbl 0091.03304Goldie, A. W. 175 1960 A note on the intersection theorem. Zbl 0087.02902Goldie, A. W. 1 1959 The structure of prime rings under ascending chain conditions. Zbl 0084.03705Goldie, A. W. 81 1958 The structure of prime rings with maximum conditions. Zbl 0088.03401Goldie, A. W. 3 1958 Decompositions of semi-simple rings. Zbl 0070.03003Goldie, A. W. 3 1956 Annihilator algebras. Zbl 0055.10602Bonsall, F. F.; Goldie, A. W. 17 1954 The scope of the Jordan-Hölder theorem in abstract algebra. Zbl 0046.03001Goldie, A. W. 4 1952 On direct decompositions. I; II. Zbl 0046.02901Goldie, A. W. 2 1952 The Jordan-Hölder theorem for general abstract algebras. Zbl 0038.17002Goldie, A. W. 7 1950 all cited Publications top 5 cited Publications all top 5 Cited by 335 Authors 15 Smith, Patrick Fleming 12 Michler, Gerhard O. 11 Faith, Carl C. 10 Krause, Günter 9 Beachy, John A. 9 Small, Lance W. 8 Goldie, Alfred W. 8 Hacque, Michel 8 Hajarnavis, Charudatta R. 8 Robson, J. Chris 8 van Oystaeyen, Freddy 8 Zelmanowitz, Julius Martin 7 Boyle, Ann K. 7 Feller, Edmund H. 7 Goodearl, Kenneth R. 7 Jategaonkar, Arun Vinayak 7 Letzter, Edward S. 7 Tuganbaev, Askar Akanovich 6 Braun, Amiram 6 Chatters, A. W. 6 Gordon, Robert 6 Lenagan, Thomas H. 6 Marubayashi, Hidetoshi 6 Warfield, Robert Breckenridge jun. 5 Bavula, Vladimir V. 5 Irving, Ronald S. 5 Jordan, David Alan 5 Kyrychenko, Volodymyr Vasyl’ovych 5 Shock, Robert C. 5 Tercan, Adnan 4 Birkenmeier, Gary Francis 4 Brown, Kenneth Alexander 4 Dan, Phan 4 Kanunnikov, Andrei Leonidovich 4 Lorenz, Martin 4 Markov, Viktor Timofeevich 4 Mikhalëv, Aleksandr Vasil’evich 4 Stafford, J. Toby 4 Tomiuk, Bohdan J. 4 Yood, Bertram 3 Alexander, Freda E. 3 Armendariz, Efraim P. 3 Behboodi, Mahmood 3 Bell, Allen D. 3 Celep Yücel, Canan 3 Cozzens, John H. 3 Fisher, Joe W. 3 Hudry, Alain 3 Johnson, Ralph E. 3 Koh, Kwangil 3 Márki, László 3 Montaner, Fernando 3 Moradzadeh-Dehkordi, Ali 3 Moussavi, Ahmad 3 Müller, Bruno J. 3 Nasr-Isfahani, Alireza R. 3 Rump, Wolfgang 3 Sandomierski, Francis L. 3 Sandomierski, Frank L. 3 Skornyakov, Lev Anatolevich 3 Thuyet, Le Van 3 Varadarajan, Kalathoor 3 Wolfson, Kenneth Graham 3 Zaks, Abraham 2 Abyzov, Adel Nailevich 2 Akalan, Evrim 2 Amitsur, Shimshon Avraham 2 Phạm Ngọc Ánh 2 Bhavanari, Satyanarayana 2 Cateforis, Vasily C. 2 Chamarie, Marc 2 Dlab, Vlastimil 2 Dokuchaev, Mikhailo 2 Elizarov, V. P. 2 Fernández López, Antonio 2 Ferrero, Miguel A. 2 Fountain, John Barringham 2 Fujiwara, Tsuyoshi 2 Ghorbani, Atefeh 2 Gould, Victoria A. R. 2 Grzeszczuk, Piotr 2 Hutchinson, John J. 2 Huynh, Dinh Van 2 Jespers, Eric 2 Kanda, Ryo 2 Kosler, Karl A. 2 Kupisch, Herbert 2 Lambek, Joachim 2 Leroux, Christine M. 2 Levy, Lawrence S. 2 Martin, Dominique 2 Martin, Philippe 2 Maury, Guy 2 Nazemian, Zahra 2 O’Meara, Kevin C. 2 Pearson, Kenneth Robert 2 Petrich, Mario 2 Posner, Edward C. 2 Quynh, Truong Cong 2 Rowen, Louis Halle ...and 235 more Authors all top 5 Cited in 56 Serials 112 Journal of Algebra 81 Communications in Algebra 36 Proceedings of the American Mathematical Society 23 Journal of Pure and Applied Algebra 19 Israel Journal of Mathematics 18 Archiv der Mathematik 16 Glasgow Mathematical Journal 16 Transactions of the American Mathematical Society 13 Journal of Algebra and its Applications 11 Mathematische Zeitschrift 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Bulletin of the American Mathematical Society 8 Proceedings of the Japan Academy 5 Journal of Soviet Mathematics 5 Mathematische Annalen 5 Tôhoku Mathematical Journal. Second Series 5 Journal of Mathematical Sciences (New York) 4 Bulletin of the Australian Mathematical Society 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Algebra and Logic 4 Czechoslovak Mathematical Journal 4 Siberian Mathematical Journal 4 Journal of the Australian Mathematical Society 3 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Proceedings of the Japan Academy. Series A 2 Quaestiones Mathematicae 2 Semigroup Forum 2 Algebras and Representation Theory 2 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Journal of Mathematical Analysis and Applications 1 Moscow University Mathematics Bulletin 1 Arkiv för Matematik 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Extremes 1 International Journal of Number Theory 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Matematický Časopis, Slovenskej Akadémie Vied 1 Asian-European Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Physica, Chemica 1 Arabian Journal of Mathematics 1 European Journal of Mathematics all top 5 Cited in 26 Fields 360 Associative rings and algebras (16-XX) 32 Commutative algebra (13-XX) 24 Group theory and generalizations (20-XX) 19 Category theory; homological algebra (18-XX) 17 Nonassociative rings and algebras (17-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Functional analysis (46-XX) 5 General algebraic systems (08-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Operator theory (47-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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