Edit Profile (opens in new tab) Heller, Alex Co-Author Distance Author ID: heller.alex Published as: Heller, Alex; Heller, A. External Links: MGP · Wikidata · IdRef Documents Indexed: 55 Publications since 1952, including 1 Book 2 Contributions as Editor Co-Authors: 13 Co-Authors with 16 Joint Publications 275 Co-Co-Authors all top 5 Co-Authors 41 single-authored 6 Reiner, Irving 2 Bass, Hyman 2 Freyd, Peter J. 2 Hastings, Harold M. 1 Baumslag, Gilbert 1 Cartan, Henri 1 Di Paola, Robert A. 1 Dyer, Eldon 1 Eilenberg, Samuel 1 Mac Lane, Leslie Saunders 1 Rowe, K. A. 1 Swan, Richard Gordon 1 Tierney, Myles all top 5 Serials 9 Illinois Journal of Mathematics 8 Transactions of the American Mathematical Society 6 Journal of Pure and Applied Algebra 6 Annals of Mathematics. Second Series 3 Proceedings of the American Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 The Journal of Symbolic Logic 2 Bulletin of the American Mathematical Society 1 American Mathematical Monthly 1 Advances in Mathematics 1 American Journal of Mathematics 1 Publications Mathématiques 1 Mathematical Systems Theory 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Topology 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Proceedings of Symposia in Pure Mathematics 1 Annals of Mathematical Statistics all top 5 Fields 18 Algebraic topology (55-XX) 15 Category theory; homological algebra (18-XX) 7 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 Associative rings and algebras (16-XX) 2 General and overarching topics; collections (00-XX) 2 \(K\)-theory (19-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 721 times in 608 Documents Cited by ▼ Year ▼ The Whitehead group of a polynomial extension. Zbl 0248.18026 Bass, H.; Heller, A.; Swan, R. G. 71 1964 Homotopy theories. Zbl 0643.55015 Heller, Alex 59 1988 The topology of discrete groups. Zbl 0419.20026 Baumslag, G.; Dyer, E.; Heller, A. 51 1980 Stable homotopy categories. Zbl 0177.25605 Heller, A. 45 1968 Representations of cyclic groups in rings of integers. I. Zbl 0108.03101 Heller, A.; Reiner, Irving 43 1962 Homological algebra in Abelian categories. Zbl 0084.26704 Heller, Alex 40 1958 The loop-space functor in homological algebra. Zbl 0096.25502 Heller, Alex 37 1960 Indecomposable representations. Zbl 0111.03101 Heller, A.; Reiner, Irving 32 1961 Indecomposable representations and the loop-space operation. Zbl 0100.26501 Heller, Alex 29 1961 Splitting homotopy idempotents. II. Zbl 0786.55008 Freyd, Peter; Heller, Alex 25 1993 Dominical categories: Recursion theory without elements. Zbl 0649.03032 Di Paola, Robert A.; Heller, Alex 22 1987 Stable homotopy theories and stabilization. Zbl 0868.18001 Heller, Alex 22 1997 On stochastic processes derived from Markov chains. Zbl 0139.34603 Heller, A. 22 1965 Some exact sequences in algebraic K-theory. Zbl 0161.01507 Heller, A. 20 1965 On the representability of homotopy functors. Zbl 0477.55013 Heller, Alex 19 1981 A note on spaces with operators. Zbl 0084.38803 Heller, Alex 18 1959 Homotopy idempotents on finite-dimensional complexes split. Zbl 0513.55011 Hastings, Harold M.; Heller, Alex 17 1982 Grothendieck groups of orders in semisimple algebras. Zbl 0127.25803 Heller, A.; Reiner, Irving 14 1964 Representations of cyclic groups in rings of integers. II. Zbl 0119.03004 Heller, A.; Reiner, Irving 13 1963 Grothendieck groups of integral group rings. Zbl 0136.01801 Heller, A.; Reiner, Irving 13 1965 Homological resolutions of complexes with operators. Zbl 0058.38705 Heller, Alex 10 1954 Completions in abstract homotopy theory. Zbl 0202.22804 Heller, A. 10 1970 An existence theorem for recursion categories. Zbl 0723.03029 Heller, Alex 9 1990 On equivariant maps of spaces with operators. Zbl 0046.16601 Heller, Alex 8 1952 On group representations over a valuation ring. Zbl 0114.25701 Heller, A. 8 1961 Applications of categorical algebra. Proceedings of the symposium in pure mathematics of the American Mathematical Society. Held in New York, New York, April 10–11, 1968. Zbl 0212.03201 7 1970 Splitting homotopy idempotents. Zbl 0471.55008 Hastings, Harold M.; Heller, Alex 7 1981 Probabilistic automata and stochastic transformations. Zbl 0189.01401 Heller, A. 6 1967 On the homotopy theory of topogenic groups and groupoids. Zbl 0458.18006 Heller, Alex 5 1980 Homotopy in functor categories. Zbl 0508.55022 Heller, Alex 5 1982 Principal bundles and group extensions with applications to Hopf algebras. Zbl 0275.18012 Heller, Alex 4 1973 Homological algebra and (semi)stable homotopy. Zbl 0868.18002 Heller, Alex 4 1997 Algebra, topology, and category theory. A collection of papers in honor of Samuel Eilenberg. Zbl 0328.00006 4 1976 On the category of sheaves. Zbl 0106.01902 Heller, Alex; Rowe, K. A. 3 1962 On the Künneth theorem. Zbl 0099.17901 Heller, Alex 3 1961 Dominical categories and recursion theory. Zbl 0592.03032 Heller, Alex 2 1985 Relative homotopy. Zbl 0759.55016 Heller, Alex 2 1991 Abstract homotopy in categories of fibrations and the spectral sequence of Eilenberg and Moore. Zbl 0248.55015 Heller, Alex 2 1972 On groups with finitely many indecomposable integral representations. Zbl 0106.02503 Heller, A.; Reiner, Irving 2 1962 Singular homology in fibre bundles. Zbl 0046.16602 Heller, Alex 1 1952 Adjoint functors and bar constructions. Zbl 0275.18002 Heller, Alex 1 1974 Samuel Eilenberg (1913-1998). Zbl 0908.01023 Bass, Hyman; Cartan, Henri; Freyd, Peter; Heller, Alex; MacLane, Saunders 1 1998 Homotopy resolutions of semi-simplicial complexes. Zbl 0066.16902 Heller, Alex 1 1955 On the classification of filtered modules. Zbl 0100.26502 Heller, Alex 1 1961 Extraordinary homology and chain complexes. Zbl 0188.28402 Heller, A. 1 1966 Samuel Eilenberg (1913-1998). Zbl 0908.01023 Bass, Hyman; Cartan, Henri; Freyd, Peter; Heller, Alex; MacLane, Saunders 1 1998 Stable homotopy theories and stabilization. Zbl 0868.18001 Heller, Alex 22 1997 Homological algebra and (semi)stable homotopy. Zbl 0868.18002 Heller, Alex 4 1997 Splitting homotopy idempotents. II. Zbl 0786.55008 Freyd, Peter; Heller, Alex 25 1993 Relative homotopy. Zbl 0759.55016 Heller, Alex 2 1991 An existence theorem for recursion categories. Zbl 0723.03029 Heller, Alex 9 1990 Homotopy theories. Zbl 0643.55015 Heller, Alex 59 1988 Dominical categories: Recursion theory without elements. Zbl 0649.03032 Di Paola, Robert A.; Heller, Alex 22 1987 Dominical categories and recursion theory. Zbl 0592.03032 Heller, Alex 2 1985 Homotopy idempotents on finite-dimensional complexes split. Zbl 0513.55011 Hastings, Harold M.; Heller, Alex 17 1982 Homotopy in functor categories. Zbl 0508.55022 Heller, Alex 5 1982 On the representability of homotopy functors. Zbl 0477.55013 Heller, Alex 19 1981 Splitting homotopy idempotents. Zbl 0471.55008 Hastings, Harold M.; Heller, Alex 7 1981 The topology of discrete groups. Zbl 0419.20026 Baumslag, G.; Dyer, E.; Heller, A. 51 1980 On the homotopy theory of topogenic groups and groupoids. Zbl 0458.18006 Heller, Alex 5 1980 Algebra, topology, and category theory. A collection of papers in honor of Samuel Eilenberg. Zbl 0328.00006 4 1976 Adjoint functors and bar constructions. Zbl 0275.18002 Heller, Alex 1 1974 Principal bundles and group extensions with applications to Hopf algebras. Zbl 0275.18012 Heller, Alex 4 1973 Abstract homotopy in categories of fibrations and the spectral sequence of Eilenberg and Moore. Zbl 0248.55015 Heller, Alex 2 1972 Completions in abstract homotopy theory. Zbl 0202.22804 Heller, A. 10 1970 Applications of categorical algebra. Proceedings of the symposium in pure mathematics of the American Mathematical Society. Held in New York, New York, April 10–11, 1968. Zbl 0212.03201 7 1970 Stable homotopy categories. Zbl 0177.25605 Heller, A. 45 1968 Probabilistic automata and stochastic transformations. Zbl 0189.01401 Heller, A. 6 1967 Extraordinary homology and chain complexes. Zbl 0188.28402 Heller, A. 1 1966 On stochastic processes derived from Markov chains. Zbl 0139.34603 Heller, A. 22 1965 Some exact sequences in algebraic K-theory. Zbl 0161.01507 Heller, A. 20 1965 Grothendieck groups of integral group rings. Zbl 0136.01801 Heller, A.; Reiner, Irving 13 1965 The Whitehead group of a polynomial extension. Zbl 0248.18026 Bass, H.; Heller, A.; Swan, R. G. 71 1964 Grothendieck groups of orders in semisimple algebras. Zbl 0127.25803 Heller, A.; Reiner, Irving 14 1964 Representations of cyclic groups in rings of integers. II. Zbl 0119.03004 Heller, A.; Reiner, Irving 13 1963 Representations of cyclic groups in rings of integers. I. Zbl 0108.03101 Heller, A.; Reiner, Irving 43 1962 On the category of sheaves. Zbl 0106.01902 Heller, Alex; Rowe, K. A. 3 1962 On groups with finitely many indecomposable integral representations. Zbl 0106.02503 Heller, A.; Reiner, Irving 2 1962 Indecomposable representations. Zbl 0111.03101 Heller, A.; Reiner, Irving 32 1961 Indecomposable representations and the loop-space operation. Zbl 0100.26501 Heller, Alex 29 1961 On group representations over a valuation ring. Zbl 0114.25701 Heller, A. 8 1961 On the Künneth theorem. Zbl 0099.17901 Heller, Alex 3 1961 On the classification of filtered modules. Zbl 0100.26502 Heller, Alex 1 1961 The loop-space functor in homological algebra. Zbl 0096.25502 Heller, Alex 37 1960 A note on spaces with operators. Zbl 0084.38803 Heller, Alex 18 1959 Homological algebra in Abelian categories. Zbl 0084.26704 Heller, Alex 40 1958 Homotopy resolutions of semi-simplicial complexes. Zbl 0066.16902 Heller, Alex 1 1955 Homological resolutions of complexes with operators. Zbl 0058.38705 Heller, Alex 10 1954 On equivariant maps of spaces with operators. Zbl 0046.16601 Heller, Alex 8 1952 Singular homology in fibre bundles. Zbl 0046.16602 Heller, Alex 1 1952 all cited Publications top 5 cited Publications all top 5 Cited by 627 Authors 16 Heller, Alex 9 Kołodziejczyk, Danuta 9 Rahn, Moritz 8 Carlson, Jon Frederick 8 Cockett, J. Robin B. 7 Berrick, A. Jon 6 Farnsteiner, Rolf 6 Gudivok, P. M. 6 Roggenkamp, Klaus W. 5 Cisinski, Denis-Charles 5 Geoghegan, Ross 5 Gersten, Stephen M. 5 Harpaz, Yonatan 5 Keller, Bernhard 5 Raptis, George 5 Šťovíček, Jan 4 Bass, Hyman 4 Brin, Matthew G. 4 Farrell, F. Thomas 4 Garkusha, Grigory 4 Gruson, Laurent 4 Hastings, Harold M. 4 Nuiten, Joost Jakob 4 Prasma, Matan 4 Ranicki, Andrew Alexander 4 Weinberger, Shmuel 4 Zalesskii, Pavel 3 Assadi, Amir H. 3 Bessenrodt, Christine 3 Brown, Kenneth Stephen 3 Choo, Koo-Guan 3 Erdmann, Karin 3 Fournier-Facio, Francesco 3 Grandis, Marco 3 Gubeladze, Joseph 3 Hofstra, Pieter J. W. 3 Johnson, Francis E. A. 3 Kvamme, Sondre 3 Lack, Stephen 3 Leary, Ian James 3 Löh, Clara 3 Löhr, Wolfgang 3 Moerdijk, Ieke 3 Moraschini, Marco 3 Muro, Fernando 3 Nakajima, Shōichi 3 Ratcliffe, John G. 3 Reiner, Irving 3 Tabuada, Gonçalo 3 Ünlü, Özgün 3 Varadarajan, Kalathoor 3 Wilson, Stephen M. J. 3 Yalçın, Ergün 2 Adem, Alejandro 2 Aljadeff, Eli 2 Almkvist, Gert 2 Amiot, Claire 2 Ay, Nihat 2 Balmer, Paul 2 Bartels, Arthur C. 2 Baues, Hans-Joachim 2 Baumslag, Gilbert 2 Beke, Tibor 2 Beligiannis, Apostolos 2 Bergh, Petter Andreas 2 Beyl, F. Rudolf 2 Blanc, David Abraham 2 Blumberg, Andrew J. 2 Browder, William 2 Buchweitz, Ragnar-Olaf 2 Cappell, Sylvain E. 2 Chang, Stanley S. 2 Chapman, Thomas Ashland 2 Chorny, Boris 2 Christensen, J. Daniel 2 Cobham, Alan 2 Coley, Ian 2 Cordier, Jean-Marc 2 Crivei, Septimiu 2 Deleanu, Aristide 2 Donnelly, John B. 2 Dugger, Daniel 2 Dydak, Jerzy 2 Fossum, Robert M. 2 Friedlander, Eric Mark 2 Gao, Nan 2 Garner, Richard 2 Golasiński, Marek 2 Govzmann, Alisa 2 Guilbault, Craig R. 2 Gustafson, William H. 2 Hambleton, Ian 2 Heller, Jeremiah 2 Herfort, Wolfgang N. 2 Hrubeš, Pavel 2 Hsiang, Wu-Chung 2 Ile, Runar 2 Janusz, Gerald J. 2 Johnson, David Lawrence 2 Jones, Lowell Edwin ...and 527 more Authors all top 5 Cited in 143 Serials 60 Journal of Algebra 58 Journal of Pure and Applied Algebra 29 Mathematische Zeitschrift 23 Proceedings of the American Mathematical Society 21 Advances in Mathematics 21 Inventiones Mathematicae 21 Topology and its Applications 17 Transactions of the American Mathematical Society 16 Algebraic & Geometric Topology 16 Bulletin of the American Mathematical Society 14 Communications in Algebra 14 Archiv der Mathematik 9 Cahiers de Topologie et Géométrie Différentielle Catégoriques 8 Mathematical Structures in Computer Science 7 Applied Categorical Structures 6 Bulletin de la Société Mathématique de France 6 Manuscripta Mathematica 6 Mathematische Annalen 6 Theory and Applications of Categories 6 Journal of Homotopy and Related Structures 5 Israel Journal of Mathematics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Geometriae Dedicata 5 Theoretical Computer Science 5 Bulletin of the American Mathematical Society. New Series 4 Bulletin of the Australian Mathematical Society 4 Ukrainian Mathematical Journal 4 Annales de l’Institut Fourier 4 Glasgow Mathematical Journal 4 Publications Mathématiques 4 Journal of Soviet Mathematics 4 The Journal of Symbolic Logic 4 Memoirs of the American Mathematical Society 4 \(K\)-Theory 4 Journal of Mathematical Sciences (New York) 3 Mathematical Notes 3 Journal of the London Mathematical Society. Second Series 3 Journal für die Reine und Angewandte Mathematik 3 Mathematical Systems Theory 3 Proceedings of the London Mathematical Society. Third Series 3 Rendiconti del Seminario Matematico della Università di Padova 3 Documenta Mathematica 3 Geometry & Topology 3 Journal of Group Theory 3 Algebras and Representation Theory 3 Journal of Topology 3 Annals of \(K\)-Theory 3 Higher Structures 2 Acta Mathematica 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Semigroup Forum 2 Annals of Pure and Applied Logic 2 Journal of the American Mathematical Society 2 MCSS. Mathematics of Control, Signals, and Systems 2 International Journal of Algebra and Computation 2 Linear Algebra and its Applications 2 Topology Proceedings 2 Journal de Théorie des Nombres de Bordeaux 2 St. Petersburg Mathematical Journal 2 Annales Mathématiques Blaise Pascal 2 Selecta Mathematica. New Series 2 Transformation Groups 2 Journal of the Australian Mathematical Society 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Journal of Noncommutative Geometry 2 Groups, Geometry, and Dynamics 2 Journal of Topology and Analysis 2 Journal of \(K\)-Theory 2 Journal of Applied and Computational Topology 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Mathematical Biosciences 1 Nuclear Physics. B 1 Psychometrika 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Algebra and Logic 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Dissertationes Mathematicae 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Kodai Mathematical Journal 1 Mathematika 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 European Journal of Combinatorics ...and 43 more Serials all top 5 Cited in 35 Fields 229 Category theory; homological algebra (18-XX) 156 Algebraic topology (55-XX) 155 Group theory and generalizations (20-XX) 118 Associative rings and algebras (16-XX) 98 Manifolds and cell complexes (57-XX) 49 \(K\)-theory (19-XX) 43 Algebraic geometry (14-XX) 29 Commutative algebra (13-XX) 24 Computer science (68-XX) 22 Mathematical logic and foundations (03-XX) 17 Number theory (11-XX) 15 Probability theory and stochastic processes (60-XX) 13 General topology (54-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Nonassociative rings and algebras (17-XX) 11 Topological groups, Lie groups (22-XX) 8 Differential geometry (53-XX) 7 Functional analysis (46-XX) 5 Combinatorics (05-XX) 5 Abstract harmonic analysis (43-XX) 5 Statistics (62-XX) 5 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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