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Heller, Alex

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Author ID: heller.alex Recent zbMATH articles by "Heller, Alex"
Published as: Heller, A.; Heller, Alex
External Links: MGP · Wikidata
Documents Indexed: 57 Publications since 1952, including 3 Books

Publications by Year

Citations contained in zbMATH

45 Publications have been cited 633 times in 535 Documents Cited by Year
The Whitehead group of a polynomial extension. Zbl 0248.18026
Bass, H.; Heller, A.; Swan, R. G.
67
1964
Homotopy theories. Zbl 0643.55015
Heller, Alex
50
1988
The topology of discrete groups. Zbl 0419.20026
Baumslag, G.; Dyer, E.; Heller, A.
43
1980
Representations of cyclic groups in rings of integers. I. Zbl 0108.03101
Heller, A.; Reiner, Irving
38
1962
Stable homotopy categories. Zbl 0177.25605
Heller, A.
35
1968
Homological algebra in Abelian categories. Zbl 0084.26704
Heller, Alex
35
1958
Indecomposable representations. Zbl 0111.03101
Heller, A.; Reiner, Irving
31
1961
Indecomposable representations and the loop-space operation. Zbl 0100.26501
Heller, Alex
31
1961
The loop-space functor in homological algebra. Zbl 0096.25502
Heller, Alex
29
1960
Dominical categories: Recursion theory without elements. Zbl 0649.03032
Di Paola, Robert A.; Heller, Alex
23
1987
Splitting homotopy idempotents. II. Zbl 0786.55008
Freyd, Peter; Heller, Alex
20
1993
Some exact sequences in algebraic K-theory. Zbl 0161.01507
Heller, A.
20
1965
On stochastic processes derived from Markov chains. Zbl 0139.34603
Heller, A.
20
1965
Stable homotopy theories and stabilization. Zbl 0868.18001
Heller, Alex
17
1997
Homotopy idempotents on finite-dimensional complexes split. Zbl 0513.55011
Hastings, Harold M.; Heller, Alex
16
1982
On the representability of homotopy functors. Zbl 0477.55013
Heller, Alex
14
1981
Grothendieck groups of orders in semisimple algebras. Zbl 0127.25803
Heller, A.; Reiner, Irving
14
1964
A note on spaces with operators. Zbl 0084.38803
Heller, Alex
14
1959
Grothendieck groups of integral group rings. Zbl 0136.01801
Heller, A.; Reiner, Irving
12
1965
Representations of cyclic groups in rings of integers. II. Zbl 0119.03004
Heller, A.; Reiner, Irving
11
1963
Completions in abstract homotopy theory. Zbl 0202.22804
Heller, A.
10
1970
Homological resolutions of complexes with operators. Zbl 0058.38705
Heller, Alex
9
1954
An existence theorem for recursion categories. Zbl 0723.03029
Heller, Alex
8
1990
On group representations over a valuation ring. Zbl 0114.25701
Heller, A.
8
1961
On equivariant maps of spaces with operators. Zbl 0046.16601
Heller, Alex
7
1952
Splitting homotopy idempotents. Zbl 0471.55008
Hastings, Harold M.; Heller, Alex
6
1981
Probabilistic automata and stochastic transformations. Zbl 0189.01401
Heller, A.
6
1967
Homotopy in functor categories. Zbl 0508.55022
Heller, Alex
5
1982
On the homotopy theory of topogenic groups and groupoids. Zbl 0458.18006
Heller, Alex
5
1980
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
3
1997
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
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
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
Heller, Alex (ed.)
2
1970
On groups with finitely many indecomposable integral representations. Zbl 0106.02503
Heller, A.; Reiner, Irving
2
1962
Samuel Eilenberg (1913-1998). Zbl 0908.01023
Bass, Hyman; Cartan, Henri; Freyd, Peter; Heller, Alex; MacLane, Saunders
1
1998
Dominical categories and recursion theory. Zbl 0592.03032
Heller, Alex
1
1985
Erratum to ”Homotopy in functor categories”. Zbl 0519.55017
Heller, Alex
1
1983
Algebra, topology, and category theory. A collection of papers in honor of Samuel Eilenberg. Zbl 0328.00006
Heller, Alex (ed.); Tierney, Myles (ed.)
1
1976
Adjoint functors and bar constructions. Zbl 0275.18002
Heller, Alex
1
1974
On the classification of filtered modules. Zbl 0100.26502
Heller, Alex
1
1961
Homotopy resolutions of semi-simplicial complexes. Zbl 0066.16902
Heller, Alex
1
1955
Singular homology in fibre bundles. Zbl 0046.16602
Heller, Alex
1
1952
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
17
1997
Homological algebra and (semi)stable homotopy. Zbl 0868.18002
Heller, Alex
3
1997
Splitting homotopy idempotents. II. Zbl 0786.55008
Freyd, Peter; Heller, Alex
20
1993
Relative homotopy. Zbl 0759.55016
Heller, Alex
2
1991
An existence theorem for recursion categories. Zbl 0723.03029
Heller, Alex
8
1990
Homotopy theories. Zbl 0643.55015
Heller, Alex
50
1988
Dominical categories: Recursion theory without elements. Zbl 0649.03032
Di Paola, Robert A.; Heller, Alex
23
1987
Dominical categories and recursion theory. Zbl 0592.03032
Heller, Alex
1
1985
Erratum to ”Homotopy in functor categories”. Zbl 0519.55017
Heller, Alex
1
1983
Homotopy idempotents on finite-dimensional complexes split. Zbl 0513.55011
Hastings, Harold M.; Heller, Alex
16
1982
Homotopy in functor categories. Zbl 0508.55022
Heller, Alex
5
1982
On the representability of homotopy functors. Zbl 0477.55013
Heller, Alex
14
1981
Splitting homotopy idempotents. Zbl 0471.55008
Hastings, Harold M.; Heller, Alex
6
1981
The topology of discrete groups. Zbl 0419.20026
Baumslag, G.; Dyer, E.; Heller, A.
43
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
Heller, Alex (ed.); Tierney, Myles (ed.)
1
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
Heller, Alex (ed.)
2
1970
Stable homotopy categories. Zbl 0177.25605
Heller, A.
35
1968
Probabilistic automata and stochastic transformations. Zbl 0189.01401
Heller, A.
6
1967
Some exact sequences in algebraic K-theory. Zbl 0161.01507
Heller, A.
20
1965
On stochastic processes derived from Markov chains. Zbl 0139.34603
Heller, A.
20
1965
Grothendieck groups of integral group rings. Zbl 0136.01801
Heller, A.; Reiner, Irving
12
1965
The Whitehead group of a polynomial extension. Zbl 0248.18026
Bass, H.; Heller, A.; Swan, R. G.
67
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
11
1963
Representations of cyclic groups in rings of integers. I. Zbl 0108.03101
Heller, A.; Reiner, Irving
38
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
31
1961
Indecomposable representations and the loop-space operation. Zbl 0100.26501
Heller, Alex
31
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
29
1960
A note on spaces with operators. Zbl 0084.38803
Heller, Alex
14
1959
Homological algebra in Abelian categories. Zbl 0084.26704
Heller, Alex
35
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
9
1954
On equivariant maps of spaces with operators. Zbl 0046.16601
Heller, Alex
7
1952
Singular homology in fibre bundles. Zbl 0046.16602
Heller, Alex
1
1952
all top 5

Cited by 536 Authors

16 Heller, Alex
9 Carlson, Jon Frederick
9 Kołodziejczyk, Danuta
7 Berrick, A. Jon
7 Groth, Moritz
6 Farnsteiner, Rolf
6 Gudivok, P. M.
6 Roggenkamp, Klaus W.
5 Geoghegan, Ross
5 Gersten, Stephen M.
5 Keller, Bernhard
5 Šťovíček, Jan
4 Bass, Hyman
4 Brin, Matthew G.
4 Cisinski, Denis-Charles
4 Cockett, J. Robin B.
4 Cockett, Robin
4 Farrell, F. Thomas
4 Garkusha, Grigory
4 Grandis, Marco
4 Gruson, Laurent
4 Harpaz, Yonatan
4 Hastings, Harold M.
4 Ranicki, Andrew A.
4 Zalesskii, Pavel
3 Assadi, Amir H.
3 Bessenrodt, Christine
3 Brown, Kenneth Stephen
3 Choo, Koo-Guan
3 Erdmann, Karin
3 Gubeladze, Joseph
3 Lack, Stephen
3 Löhr, Wolfgang
3 Moerdijk, Ieke
3 Muro, Fernando
3 Nakajima, Shōichi
3 Nuiten, Joost Jakob
3 Prasma, Matan
3 Ratcliffe, John G.
3 Reiner, Irving
3 Tabuada, Gonçalo
3 Ünlü, Özgün
3 Varadarajan, Kalathoor
3 Weinberger, Shmuel
3 Wilson, Stephen M. J.
3 Yalçın, Ergün
2 Adem, Alejandro
2 Aljadeff, Eli
2 Almkvist, Gert
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 Burns, David Peter
2 Cappell, Sylvain E.
2 Chang, Stanley S.
2 Chapman, Thomas Ashland
2 Chorny, Boris
2 Cobham, Alan
2 Cordier, Jean-Marc
2 Deleanu, Aristide
2 Donnelly, John B.
2 Donovan, Peter W.
2 Dugger, Daniel
2 Dydak, Jerzy
2 Fossum, Robert M.
2 Garner, Richard
2 Golasiński, Marek
2 Guilbault, Craig R.
2 Gustafson, William H.
2 Hambleton, Ian
2 Herfort, Wolfgang N.
2 Hofstra, Pieter J. W.
2 Hrubeš, Pavel
2 Hsiang, Wu-Chung
2 Ile, Runar
2 Janusz, Gerald J.
2 Johnson, David Lawrence
2 Johnson, Francis E. A.
2 Jones, Lowell Edwin
2 Kim, Raeyong
2 Pedersen, Erik Kjær
2 Klopsch, Benjamin
2 Kvamme, Sondre
2 Lam, Tsit-Yuen
2 Latch, Dana May
2 Leary, Ian James
2 Lin, Daniel W.
2 Lück, Wolfgang
2 Madan, Manohar L.
2 Mandell, Michael A.
...and 436 more Authors
all top 5

Cited in 124 Serials

57 Journal of Algebra
56 Journal of Pure and Applied Algebra
28 Mathematische Zeitschrift
22 Proceedings of the American Mathematical Society
21 Advances in Mathematics
21 Inventiones Mathematicae
21 Topology and its Applications
16 Transactions of the American Mathematical Society
16 Bulletin of the American Mathematical Society
13 Archiv der Mathematik
12 Algebraic & Geometric Topology
10 Communications in Algebra
9 Cahiers de Topologie et Géométrie Différentielle Catégoriques
8 MSCS. Mathematical Structures in Computer Science
6 Manuscripta Mathematica
6 Mathematische Annalen
6 Applied Categorical 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 Theory and Applications of Categories
5 Journal of Homotopy and Related Structures
4 Bulletin of the Australian Mathematical Society
4 Ukrainian Mathematical Journal
4 Annales de l’Institut Fourier
4 Bulletin de la Société Mathématique de France
4 Publications Mathématiques
4 Journal of Soviet Mathematics
4 The Journal of Symbolic Logic
4 \(K\)-Theory
4 Bulletin of the American Mathematical Society. New Series
3 Mathematical Notes
3 Glasgow Mathematical Journal
3 Mathematical Systems Theory
3 Rendiconti del Seminario Matematico della Università di Padova
3 Information and Computation
3 Journal of Mathematical Sciences (New York)
2 Acta Mathematica
2 Compositio Mathematica
2 Duke Mathematical Journal
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Nachrichten
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 Geometry & Topology
2 Bulletin de la Société Mathématique de France. Supplément. Mémoires
2 Journal of Noncommutative Geometry
2 Groups, Geometry, and Dynamics
2 Journal of \(K\)-Theory
2 Annals of \(K\)-Theory
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 International Journal of Engineering Science
1 Mathematical Biosciences
1 Nuclear Physics. B
1 Psychometrika
1 Rocky Mountain Journal of Mathematics
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 Journal of Applied Probability
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Kodai Mathematical Journal
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quaestiones Mathematicae
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 European Journal of Combinatorics
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications
1 Computers & Operations Research
1 Forum Mathematicum
1 Neural Computation
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Expositiones Mathematicae
1 Archive for Mathematical Logic
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Russian Journal of Mathematical Physics
...and 24 more Serials
all top 5

Cited in 36 Fields

190 Category theory; homological algebra (18-XX)
137 Group theory and generalizations (20-XX)
136 Algebraic topology (55-XX)
101 Associative rings and algebras (16-XX)
85 Manifolds and cell complexes (57-XX)
44 \(K\)-theory (19-XX)
35 Algebraic geometry (14-XX)
25 Commutative algebra (13-XX)
20 Computer science (68-XX)
18 Mathematical logic and foundations (03-XX)
15 Number theory (11-XX)
13 Probability theory and stochastic processes (60-XX)
12 Nonassociative rings and algebras (17-XX)
12 General topology (54-XX)
9 Topological groups, Lie groups (22-XX)
9 Global analysis, analysis on manifolds (58-XX)
5 Differential geometry (53-XX)
5 Systems theory; control (93-XX)
4 Combinatorics (05-XX)
4 Abstract harmonic analysis (43-XX)
4 Functional analysis (46-XX)
4 Statistics (62-XX)
3 Dynamical systems and ergodic theory (37-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Measure and integration (28-XX)
1 History and biography (01-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 Mechanics of deformable solids (74-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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