Edit Profile (opens in new tab) Mac Lane, Leslie Saunders Compute Distance To: Compute Author ID: mac-lane.saunders Published as: MacLane, Saunders; MacLane, S.; Mac Lane, Saunders; Mac Lane, S.; Maclane, Saunders; McLane, Saunders; McLane, S. more...less Further Spellings: Маклейн С External Links: Celebratio Mathematica · MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 224 Publications since 1934, including 29 Books 8 Contributions as Editor · 5 Further Contributions Biographic References: 20 Publications Co-Authors: 54 Co-Authors with 82 Joint Publications 1,203 Co-Co-Authors all top 5 Co-Authors 151 single-authored 26 Eilenberg, Samuel 13 Birkhoff, Garrett 11 Schilling, Otto Franz Georg 7 Adkisson, Virgil William 3 Davis, Martin David 3 Kelly, Gregory Maxwell 3 Moerdijk, Ieke 2 Becker, M. F. 2 Clifford, Alfred H. 2 Dold, Albrecht 2 Henkin, Leon Albert 2 Lax, Peter David 2 McShane, Edward James 2 Oberst, Ulrich 2 Taussky-Todd, Olga 1 Abbott, James C. 1 Adámek, Jiří 1 Aleksandrov, Pavel Sergeevich 1 Alperin, Jonathan L. 1 Atiyah, Michael Francis 1 Bass, Hyman 1 Bellman, Richard Ernest 1 Benabou, Jean 1 Bliss, Gilbert Ames 1 Blum, Lenore 1 Borel, Armand 1 Brewer, James W. 1 Browder, Felix Earl 1 Buchi, J. Richard 1 Cartan, Henri 1 Chaitin, Gregory John 1 Davis, Philip J. 1 Davis, Robert Clay jun. 1 Delorme, Charles 1 Dubinsky, Ed 1 Feferman, Solomon 1 Feit, Walter 1 Freyd, Peter J. 1 Friedan, Daniel Harry 1 Gaal, Lisl 1 Gale, David 1 Gilmer, Robert W. jun. 1 Glimm, James G. 1 Graham, Ronald Lewis 1 Gray, Jeremy John 1 Gray, John W. 1 Green, Judy 1 Haimo, Franklin 1 Hale-La Salle 1 Hall, Carl Alan 1 Hammond, A. 1 Hardy, Godfrey Harold 1 Harrison, David K. 1 Heller, Alex 1 Hersh, Reuben 1 Hirsch, Morris W. 1 Hocquemiller, J. 1 Holt, Derek F. 1 Hoppensteadt, Frank C. 1 Isbell, John Rolfe 1 Jackson, Dunham 1 Kac, Mark 1 Kalman, Rudolf Emil 1 Kimberling, Clark H. 1 LaDuke, Jeanne 1 Lam, Tsit-Yuen 1 Lanczos, Cornelius 1 Lavit, Christine 1 Lehmer, Derrick Henry 1 Leron, Uri 1 Levinson, Norman 1 Mandelbrot, Benoit B. 1 Merzbach, Uta C. 1 Mezard, A. 1 Moore, David S. 1 Moore, Marion E. 1 Niven, Ivan Morton 1 Olds, C. D. 1 Paré, Robert 1 Penrose, Roger 1 Raoult, Jean-Claude 1 Richard, I. 1 Rohrl, Helmut 1 Roos, Jan-Erik 1 Ruelle, David Pierre 1 Schmidt, Friedrich Karl 1 Schwartz, Jacob Theodore 1 Schwarz, Albert S. 1 Scott, Elizabeth L. 1 Siefkes, Dirk 1 Smith, Martha K. 1 Steen, Lynn Arthur 1 Swan, Richard Gordon 1 Tarwater, Dalton 1 Thom, René 1 Thompson, Philip Duncan 1 Trèves, François 1 Trotskaia Lehmer, Emma 1 Uhlenbeck, Karen Keskulla 1 Ulam, Stanisław Marcin ...and 7 more Co-Authors all top 5 Serials 28 Bulletin of the American Mathematical Society 17 Annals of Mathematics. Second Series 16 Proceedings of the National Academy of Sciences of the United States of America 15 Transactions of the American Mathematical Society 12 American Journal of Mathematics 12 Duke Mathematical Journal 11 American Mathematical Monthly 7 Notices of the American Mathematical Society 6 Lecture Notes in Mathematics 5 The Mathematical Intelligencer 5 Journal of Pure and Applied Algebra 3 Graduate Texts in Mathematics 2 Fundamenta Mathematicae 2 Illinois Journal of Mathematics 2 Mathematica Japonica 2 Applied Categorical Structures 2 Grundlehren der Mathematischen Wissenschaften 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Russian Mathematical Surveys 1 Bulletin of the London Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Canadian Journal of Mathematics 1 Gazeta de Matemática (Lisboa) 1 Journal of Algebra 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Mathematische Annalen 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Revista Matematica Hispano-Americana. 4a Serie. Publicada por Real Sociedad Matematica Espanola 1 Rice University Studies 1 Synthese 1 Annals of Pure and Applied Logic 1 Philosophia Mathematica. Second Series 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Philosophia Mathematica. Series III 1 Mathematics Series. Texas Tech University 1 Pure and Applied Mathematics, Marcel Dekker 1 Science 1 Universitext 1 Classics in Mathematics all top 5 Fields 54 Category theory; homological algebra (18-XX) 40 History and biography (01-XX) 29 General and overarching topics; collections (00-XX) 21 Mathematical logic and foundations (03-XX) 13 Group theory and generalizations (20-XX) 11 Algebraic topology (55-XX) 10 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 General topology (54-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 2 General algebraic systems (08-XX) 2 Algebraic geometry (14-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 169 Publications have been cited 6,502 times in 5,609 Documents Cited by ▼ Year ▼ Categories for the working mathematician. 2nd ed. Zbl 0906.18001Mac Lane, Saunders 1,258 1998 Categories for the working mathematician. Zbl 0232.18001Mac Lane, Saunders 1,104 1971 Categories for the working mathematician. 4th corrected printing. Zbl 0705.18001MacLane, Saunders 683 1988 Homology. Zbl 0133.26502Mac Lane, Saunders 328 1963 Homology. Reprint of the 3rd corr. print. 1975. Zbl 0818.18001Mac Lane, Saunders 324 1995 Sheaves in geometry and logic: a first introduction to topos theory. Zbl 0822.18001Mac Lane, Saunders; Moerdijk, Ieke 313 1992 Natural associativity and commutativity. Zbl 0244.18008MacLane, Saunders 157 1963 On the groups \(H(\Pi,n)\). I. Zbl 0050.39304Eilenberg, Samuel; MacLane, Saunders 151 1953 On the groups \(H(\Pi,n)\). II. Zbl 0055.41704Eilenberg, Samuel; MacLane, Saunders 139 1954 Categorical algebra. Zbl 0161.01601MacLane, S. 126 1965 Cohomology theory in abstract groups. I. Zbl 0029.34001Eilenberg, S.; MacLane, S. 103 1947 Cohomology theory in abstract groups. II. Zbl 0029.34101Eilenberg, S.; MacLane, S. 84 1947 General theory of natural equivalences. Zbl 0061.09204Eilenberg, Samuel; MacLane, Saunders 80 1945 Algebra. First printing. Zbl 0153.32401MacLane, S.; Birkhoff, G. 79 1967 On the 3-type of a complex. Zbl 0035.39001MacLane, Saunders; Whitehead, J. H. C. 73 1950 Coherence in closed categories. Zbl 0212.35001Kelly, G. M.; MacLane, S. 71 1971 A survey of modern algebra. Revised ed. Zbl 0052.25402Birkhoff, Garrett; MacLane, Saunders 64 1953 A construction for absolute values in polynomial rings. JFM 62.1106.02MacLane, S. 48 1936 Homology. Zbl 0149.26203MacLane, S. 44 1966 A survey of modern algebra. 5th ed. Zbl 0863.00001Birkhoff, Garrett; Mac Lane, Saunders 44 1997 Relations between homology and homotopy groups of spaces. Zbl 0061.40702Eilenberg, Samuel; MacLane, Saunders 41 1945 Coherence for bicategories and indexed categories. Zbl 0567.18003MacLane, Saunders; Paré, Robert 41 1985 A combinatorial condition for planar graphs. Zbl 0015.37501MacLane, Saunders 35 1937 An interpretation of the cohomology groups \(H^ n(G,M)\). Zbl 0699.20040Holt, D. F. 33 1979 The homology products in \(K(\Pi,n)\). Zbl 0059.16405MacLane, Saunders 32 1954 An algebra of additive relations. Zbl 0123.01102MacLane, Saunders 32 1961 Group extensions and homology. Zbl 0061.40602Eilenberg, Samuel; MacLane, Saunders 30 1942 Cohomology theory in abstract groups. III. Operator homomorphisms of kernels. Zbl 0039.25703MacLane, Saunders 30 1949 Topology and logic as a source of algebra. Zbl 0324.55001Mac Lane, Saunders 29 1976 Acyclic models. Zbl 0050.17205Eilenberg, Samuel; MacLane, Saunders 28 1953 A survey of modern algebra. 4th ed. Zbl 0365.00006Birkhoff, Garrett; MacLane, Saunders 28 1977 A structural characterization of planar combinatorial graphs. Zbl 0017.42702MacLane, Saunders 27 1937 Cohomology and Galois theory. I. Normality of algebras and Teichmüller’s cocycle. Zbl 0031.34301Eilenberg, Samuel; MacLane, Saunders 26 1948 Homology. 3rd corr. print. Zbl 0328.18009Mac Lane, Saunders 26 1975 A construction for absolute values in polynomial rings. Zbl 0015.29202MacLane, Saunders 25 1936 Duality for groups. Zbl 0045.29905MacLane, Saunders 24 1950 Some interpretations of abstract linear dependence in terms of projective geometry. Zbl 0013.19503MacLane, Saunders 22 1936 The universality of formal power series fields. JFM 65.0093.02MacLane, S. 22 1939 Mathematics: Form and function. Zbl 0675.00001Mac Lane, Saunders 21 1986 A construction for prime ideals as absolute values of an algebraic field. JFM 62.0096.02MacLane, S. 20 1936 Modular fields. I. Separating transcendence bases. Zbl 0021.10102MacLane, Saunders 19 1939 Relations between homology and homotopy groups of spaces. II. Zbl 0036.12602Eilenberg, Samuel; MacLane, Saunders 19 1950 A structural characterization of planar combinatorial graphs. JFM 63.0549.01Mac Lane, S. 19 1937 A survey of modern algebra. Zbl 0061.04802Birkhoff, Garrett; Mac Lane, Saunders 18 1941 A lattice formulation for transcendence degrees and p-bases. Zbl 0019.39201MacLane, Saunders 18 1938 Zero-dimensional branches of rank one on algebraic varieties. Zbl 0023.29402MacLane, Saunders; Schilling, O. F. G. 18 1939 Homology of spaces with operators. II. Zbl 0034.11101Eilenberg, Samuel; MacLane, Saunders 18 1949 Extensions and obstructions for rings. Zbl 0081.03303MacLane, Saunders 17 1958 Reports of the Midwest Category Seminar. Zbl 0165.33001Bénabou, Jean; Davis, Robert; Dold, A.; Isbell, John R.; MacLane, S.; Oberst, U.; Roos, Jan-Erik 17 1967 Cohomology theory of abelian groups and homotopy theory. II. Zbl 0039.19002Eilenberg, Samuel; MacLane, Saunders 16 1950 Homology theories for multiplicative systems. Zbl 0043.25403Eilenberg, Samuel; MacLane, Saunders 16 1951 A lattice formulation for transcendence degrees and \(p\)-bases. JFM 64.0072.02Mac Lane, S. 15 1938 Saunders Mac Lane: a mathematical autobiography. Zbl 1089.01010Mac Lane, Saunders 15 2005 On the groups \(H(\varPi,n)\). III. Operations and obstructions. Zbl 0057.15302Eilenberg, Samuel; MacLane, Saunders 14 1954 Relations between homology and homotopy groups. Zbl 0061.40701Eilenberg, Samuel; MacLane, Saunders 14 1943 Some interpretations of abstract linear dependence in terms of projective geometry. JFM 62.0649.02MacLane, S. 14 1936 Cohomology theory of abelian groups and homotopy theory. I. Zbl 0037.39504Eilenberg, Samuel; McLane, Saunders 14 1950 A construction for prime ideals as absolute values of an algebraic field. Zbl 0015.05801MacLane, Saunders 13 1936 Algebraic cohomology groups and loops. Zbl 0029.34102Eilenberg, Samuel; MacLane, Saunders 12 1947 Eilenberg-MacLane: Collected works. Zbl 0613.01018Eilenberg, Samuel; MacLane, Saunders 12 1986 Proceedings of the Conference on Categorical Algebra. La Jolla 1965. Zbl 0178.29005 11 1966 Subfields and automorphism groups of \(p\)-adic fields. Zbl 0021.00501MacLane, Saunders 11 1939 Subfields and automorphism groups of \(p\)-adic fields. JFM 65.0092.02MacLane, S. 11 1939 Algebra. 3rd. ed. Zbl 0641.12001MacLane, Saunders; Birkhoff, Garrett 10 1988 Groups, categories and duality. Zbl 0031.24702MacLane, Saunders 10 1948 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 9 1994 Determination of the second homology and cohomology groups of a space by means of homotopy invariants. Zbl 0061.40707Eilenberg, Samuel; MacLane, Saunders 9 1946 The universality of formal power series fields. Zbl 0022.30401MacLane, Saunders 9 1939 The minimum number of generators for inseparable algebraic extensions. Zbl 0022.30402Becker, M. F.; MacLane, S. 8 1940 Zero-dimensional branches of rank one on algebraic varieties. JFM 65.1140.02MacLane, S.; Schilling, O. F. 8 1939 Criteria for excellence in mathematics. Zbl 0628.01019MacLane, Saunders 8 1986 Duality for groups. Zbl 0041.36306MacLane, Saunders 8 1950 Cohomology theory of abelian groups and homotopy theory. III. Zbl 0042.41406Eilenberg, Samuel; MacLane, Saunders 8 1951 Mathematical models: A sketch for the philosophy of mathematics. Zbl 0468.00019MacLane, Saunders 8 1981 Mathematics, form and function. Zbl 0666.00019Mac Lane, Saunders 8 1986 Natural isomorphisms in group theory. Zbl 0061.09203Eilenberg, Samuel; MacLane, Saunders 7 1942 Symmetry of algebras over a number field. Zbl 0032.10801MacLane, Saunders 7 1948 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 7 1981 Origins of the cohomology of groups. Zbl 0379.18012Mac Lane, Saunders 7 1978 Erratum: Coherence in closed categories. Zbl 0215.09703Kelly, G. M.; Mac Lane, S. 6 1971 The collected works of J. Richard Büchi. Edited by Saunders Mac Lane and Dirk Siefkes. Zbl 0725.68006Büchi, J. Richard 5 1990 On the homology theory of Abelian groups. Zbl 0064.02701Eilenberg, Samuel; MacLane, Saunders 5 1955 A proof of the subgroup theorem for free products. Zbl 0085.01403MacLane, Saunders 5 1958 Triple torsion products and multiple Künneth formulas. Zbl 0093.02101Maclane, Saunders 5 1960 The minimum number of generators for inseparable algebraic extensions. JFM 66.0115.01Becker, M. F.; MacLane, S. 5 1940 A combinatorial condition for planar graphs. JFM 63.0548.01Mac Lane, S. 5 1937 Structure in mathematics. Zbl 0905.18001Mac Lane, Saunders 5 1996 Topos theory. Zbl 0858.18001MacLane, S.; Moerdijk, I. 5 1996 Foundations for categories and sets. Zbl 0218.18003MacLane, Saunders 5 1969 Cohomology groups of Abelian groups and homotopy theory. IV. Zbl 0046.16701Eilenberg, Samuel; MacLane, Saunders 4 1952 A conjecture of Ore on chains in partially ordered sets. Zbl 0060.06105MacLane, Saunders 4 1943 Homologie des anneaux et des modules. Zbl 0084.26703MacLane, Saunders 4 1957 Group extensions by primary abelian groups. Zbl 0091.02203MacLane, Saunders 4 1960 Locally small categories and the foundations of set theory. Zbl 0116.00902MacLane, S. 4 1961 Reports of the Midwest Category Seminar. II. Zbl 0165.00201 4 1968 Reports of the Midwest category seminar. III. Zbl 0184.03504 4 1969 Reports of the Midwest category seminar. IV. Zbl 0198.00201 4 1970 Algèbre. Tome I: Structures fondamentales. Zbl 0201.01801MacLane, S.; Birkhoff, G. 4 1970 Infinite number fields with Noether ideal theories. Zbl 0021.20104MacLane, Saunders; Schilling, O. F. G. 4 1939 Why commutative diagrams coincide with equivalent proofs. Zbl 0504.18004Mac Lane, Saunders 4 1982 Saunders Mac Lane: a mathematical autobiography. Zbl 1089.01010Mac Lane, Saunders 15 2005 Contrary statements about mathematics. Zbl 1025.03053Mac Lane, Saunders 1 2000 Categories for the working mathematician. 2nd ed. Zbl 0906.18001Mac Lane, Saunders 1,258 1998 Samuel Eilenberg (1913-1998). Zbl 0908.01023Bass, Hyman; Cartan, Henri; Freyd, Peter; Heller, Alex; MacLane, Saunders 1 1998 A survey of modern algebra. 5th ed. Zbl 0863.00001Birkhoff, Garrett; Mac Lane, Saunders 44 1997 Despite physicists, proof is essential in mathematics. Zbl 1052.00512MacLane, Saunders 3 1997 Garrett Birkhoff (1911–1996) and the survey of modern algebra. Zbl 0908.01019Mac Lane, Saunders 2 1997 Structure in mathematics. Zbl 0905.18001Mac Lane, Saunders 5 1996 Topos theory. Zbl 0858.18001MacLane, S.; Moerdijk, I. 5 1996 Homology. Reprint of the 3rd corr. print. 1975. Zbl 0818.18001Mac Lane, Saunders 324 1995 Mathematics at Göttingen under the Nazis. Zbl 1042.01536Mac Lane, Saunders 1 1995 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 9 1994 Sheaves in geometry and logic: a first introduction to topos theory. Zbl 0822.18001Mac Lane, Saunders; Moerdijk, Ieke 313 1992 Is Mathias an ontologist? Zbl 0786.03001Mac Lane, Saunders 1 1992 Coherence theorems and conformal field theory. Zbl 0789.18006Mac Lane, Saunders 1 1992 Algebras as a means of understanding mathematics. A joint AMS-MAA lecture presented in Columbus, OH, USA, August 1990. Videotape (NTSC; 60 min VHS). Zbl 0925.00031Mac Lane, Saunders 1 1991 The collected works of J. Richard Büchi. Edited by Saunders Mac Lane and Dirk Siefkes. Zbl 0725.68006Büchi, J. Richard 5 1990 Mathematics at the University of Chicago. A brief history. Zbl 0667.01023Mac Lane, Saunders 4 1989 Topology and logic at Princeton. Zbl 0682.01016MacLane, Saunders 1 1989 Categories for the working mathematician. 4th corrected printing. Zbl 0705.18001MacLane, Saunders 683 1988 Algebra. 3rd. ed. Zbl 0641.12001MacLane, Saunders; Birkhoff, Garrett 10 1988 Group extensions for 45 years. Zbl 0657.01011Mac Lane, Saunders 3 1988 Decker’s sharper Künneth formula. Zbl 0655.18010Mac Lane, Saunders 2 1988 Mathematics: Form and function. Zbl 0675.00001Mac Lane, Saunders 21 1986 Eilenberg-MacLane: Collected works. Zbl 0613.01018Eilenberg, Samuel; MacLane, Saunders 12 1986 Criteria for excellence in mathematics. Zbl 0628.01019MacLane, Saunders 8 1986 Mathematics, form and function. Zbl 0666.00019Mac Lane, Saunders 8 1986 Topology becomes algebraic with Vietoris and Noether. Zbl 0577.01030Mac Lane, Saunders 1 1986 Mathematical logic is neither foundation nor philosophy. Zbl 1156.03308MacLane, Saunders 1 1986 Coherence for bicategories and indexed categories. Zbl 0567.18003MacLane, Saunders; Paré, Robert 41 1985 Julia Bowman Robinson 1919-1985. Zbl 0571.01026Henkin, L.; Lehmer, D. H.; Lehmer, Emma; Scott, E.; Kelley, J.; Gaal, L.; Gale, D.; Davis, M.; MacLane, S.; Niven, I.; Pitcher, E.; Blum, L.; Feferman, S. 1 1985 Applications of categorical algebra. Zbl 0588.18009MacLane, S. 1 1985 Spectral complications in cohomology computations. Zbl 0553.20031MacLane, Saunders 1 1984 The health of mathematics. Zbl 1366.00035Mac Lane, Saunders 4 1983 Why commutative diagrams coincide with equivalent proofs. Zbl 0504.18004Mac Lane, Saunders 4 1982 Mathematical models: A sketch for the philosophy of mathematics. Zbl 0468.00019MacLane, Saunders 8 1981 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 7 1981 An interpretation of the cohomology groups \(H^ n(G,M)\). Zbl 0699.20040Holt, D. F. 33 1979 Origins of the cohomology of groups. Zbl 0379.18012Mac Lane, Saunders 7 1978 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 1 1978 A survey of modern algebra. 4th ed. Zbl 0365.00006Birkhoff, Garrett; MacLane, Saunders 28 1977 Topology and logic as a source of algebra. Zbl 0324.55001Mac Lane, Saunders 29 1976 The work of Samuel Eilenberg in topology. Zbl 0338.55001Mac Lane, Saunders 1 1976 Homology. 3rd corr. print. Zbl 0328.18009Mac Lane, Saunders 26 1975 Sets, topoi, and internal logic in categories. Zbl 0313.18001Maclane, Saunders 3 1975 Coherence in categories. Zbl 0234.00006 4 1972 Kategorien. Begriffssprache und mathematische Theorie. Aus dem Englischen übersetzt von Klaus Schürger. Zbl 0243.18001Mac Lane, Saunders 4 1972 Closed coherence for a natural transformation. Zbl 0245.18003Kelly, G. M.; Mac Lane, Saunders 3 1972 Categories for the working mathematician. Zbl 0232.18001Mac Lane, Saunders 1,104 1971 Coherence in closed categories. Zbl 0212.35001Kelly, G. M.; MacLane, S. 71 1971 Erratum: Coherence in closed categories. Zbl 0215.09703Kelly, G. M.; Mac Lane, S. 6 1971 Categorical algebra and set-theoretic foundations. Zbl 0219.02044MacLane, S. 2 1971 Reports of the Midwest category seminar. V. Zbl 0222.18001 2 1971 Algèbre. Tome II: Les grands théorèmes. Zbl 0213.28901MacLane, S.; Birkhoff, G. 1 1971 Reports of the Midwest category seminar. IV. Zbl 0198.00201 4 1970 Algèbre. Tome I: Structures fondamentales. Zbl 0201.01801MacLane, S.; Birkhoff, G. 4 1970 Hamiltonian mechanics and geometry. Zbl 0212.56703Mac Lane, S. 3 1970 A combinatorial condition for planar graphs. Zbl 0213.50601MacLane, S. 3 1970 The Milgram bar construction as a tensor product of functors. Zbl 0216.45405Mac Lane, S. 3 1970 The influence of M. H. Stone on the origins of category theory. Zbl 0261.18001MacLane, Saunders 1 1970 Foundations for categories and sets. Zbl 0218.18003MacLane, Saunders 5 1969 Reports of the Midwest category seminar. III. Zbl 0184.03504 4 1969 On universe as a foundation for category theory. Zbl 0211.32202Mac Lane, S. 4 1969 Possible programs for categorists. Zbl 0215.38901MacLane, Saunders 1 1969 Reports of the Midwest Category Seminar. II. Zbl 0165.00201 4 1968 Algebra. First printing. Zbl 0153.32401MacLane, S.; Birkhoff, G. 79 1967 Reports of the Midwest Category Seminar. Zbl 0165.33001Bénabou, Jean; Davis, Robert; Dold, A.; Isbell, John R.; MacLane, S.; Oberst, U.; Roos, Jan-Erik 17 1967 Projective classes and acyclic models. Zbl 1375.18006Dold, A.; Mac Lane, S.; Oberst, U. 4 1967 Homology. Zbl 0149.26203MacLane, S. 44 1966 Proceedings of the Conference on Categorical Algebra. La Jolla 1965. Zbl 0178.29005 11 1966 Categorical algebra. Zbl 0161.01601MacLane, S. 126 1965 Homology. Zbl 0133.26502Mac Lane, Saunders 328 1963 Natural associativity and commutativity. Zbl 0244.18008MacLane, Saunders 157 1963 Some recent advances in algebra. Zbl 0199.04802MacLane, S. 1 1963 An algebra of additive relations. Zbl 0123.01102MacLane, Saunders 32 1961 Locally small categories and the foundations of set theory. Zbl 0116.00902MacLane, S. 4 1961 The cohomology theory of a pair of groups. Zbl 0099.25204Haimo, F.; MacLane, S. 1 1961 Triple torsion products and multiple Künneth formulas. Zbl 0093.02101Maclane, Saunders 5 1960 Group extensions by primary abelian groups. Zbl 0091.02203MacLane, Saunders 4 1960 Metric postulates for plane geometry. Zbl 0087.35102MacLane, Saunders 3 1959 Extensions and obstructions for rings. Zbl 0081.03303MacLane, Saunders 17 1958 A proof of the subgroup theorem for free products. Zbl 0085.01403MacLane, Saunders 5 1958 Homologie des anneaux et des modules. Zbl 0084.26703MacLane, Saunders 4 1957 On the homology theory of Abelian groups. Zbl 0064.02701Eilenberg, Samuel; MacLane, Saunders 5 1955 On the groups \(H(\Pi,n)\). II. Zbl 0055.41704Eilenberg, Samuel; MacLane, Saunders 139 1954 The homology products in \(K(\Pi,n)\). Zbl 0059.16405MacLane, Saunders 32 1954 On the groups \(H(\varPi,n)\). III. Operations and obstructions. Zbl 0057.15302Eilenberg, Samuel; MacLane, Saunders 14 1954 On the groups \(H(\Pi,n)\). I. Zbl 0050.39304Eilenberg, Samuel; MacLane, Saunders 151 1953 A survey of modern algebra. Revised ed. Zbl 0052.25402Birkhoff, Garrett; MacLane, Saunders 64 1953 Acyclic models. Zbl 0050.17205Eilenberg, Samuel; MacLane, Saunders 28 1953 Cohomology groups of Abelian groups and homotopy theory. IV. Zbl 0046.16701Eilenberg, Samuel; MacLane, Saunders 4 1952 Cohomology theory of Abelian groups. Zbl 0049.01401MacLane, Saunders 1 1952 Homology theories for multiplicative systems. Zbl 0043.25403Eilenberg, Samuel; MacLane, Saunders 16 1951 Cohomology theory of abelian groups and homotopy theory. III. Zbl 0042.41406Eilenberg, Samuel; MacLane, Saunders 8 1951 On the 3-type of a complex. Zbl 0035.39001MacLane, Saunders; Whitehead, J. H. C. 73 1950 Duality for groups. Zbl 0045.29905MacLane, Saunders 24 1950 Relations between homology and homotopy groups of spaces. II. Zbl 0036.12602Eilenberg, Samuel; MacLane, Saunders 19 1950 Cohomology theory of abelian groups and homotopy theory. II. Zbl 0039.19002Eilenberg, Samuel; MacLane, Saunders 16 1950 Cohomology theory of abelian groups and homotopy theory. I. Zbl 0037.39504Eilenberg, Samuel; McLane, Saunders 14 1950 Duality for groups. Zbl 0041.36306MacLane, Saunders 8 1950 ...and 69 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,975 Authors 27 Cegarra, Antonio Martínez 24 Petrić, Zoran 23 Street, Ross H. 22 Pultr, Aleš 21 Došen, Kosta 21 Grandis, Marco 21 Jacobs, Bart 21 Power, John 20 Huebschmann, Johannes 20 Solovyov, Sergey A. 19 Mac Lane, Leslie Saunders 18 Pirashvili, Teimuraz 18 Tholen, Walter 17 Diaconescu, Răzvan 17 Lack, Stephen 16 Day, Brian John 16 Janelidze, George 16 Real, Pedro 16 Rump, Wolfgang 15 Baez, John C. 15 Chirvăsitu, Alexandru 15 Heunen, Chris 14 Baues, Hans-Joachim 14 Blanc, David Abraham 14 Garner, Richard 14 Mazorchuk, Volodymyr 14 Milius, Stefan 14 Porst, Hans-Eberhard 14 Voutsadakis, George 13 Adámek, Jiří 13 Banaschewski, Bernhard 13 Bourn, Dominique 13 Höhle, Ulrich 13 Janelidze, Zurab 13 Kelly, Gregory Maxwell 13 Makkai, Michael 13 Nart, Enric 12 Dvurečenskij, Anatolij 12 Dwyer, William G. 12 Goguen, Joseph Amadee 12 Klin, Bartek 12 Montanari, Ugo G. 12 Nishimura, Hirokazu 12 Runkel, Ingo 12 Zanasi, Fabio 11 Bonchi, Filippo 11 Brown, Ronald 11 Cabrer, Leonardo Manuel 11 Generalov, Aleksandr Ivanovich 11 Lawson, Mark Verus 11 Mesablishvili, Bachuki 11 Plotkin, Boris 11 Schröder, Lutz 11 Shimizu, Kenichi 11 Solov’ëv, Sergeĭ Vladimirovich 11 Zafiris, Elias 10 Aladova, Elena V. 10 Bezhanishvili, Guram 10 Garzón, Antonio R. 10 Kurz, Alexander 10 Li, Qingguo 10 Martins-Ferreira, Nelson 10 Menni, Matías 10 Poinsot, Laurent 10 Vitale, Enrico Maria 9 Ardizzoni, Alessandro 9 Awodey, Steve 9 Balmer, Paul 9 Breen, Lawrence S. 9 Caenepeel, Stefaan 9 Carrasco, Pilar C. 9 Fiore, Marcelo P. 9 Gadducci, Fabio 9 Gainutdinov, Azat M. 9 Gutiérrez García, Javier 9 Kan, Daniel Marinus 9 Katsov, Yefim 9 Kubiak, Tomasz 9 MacDonald, John L. 9 Markl, Martin 9 Menini, Claudia 9 Meseguer Guaita, José 9 Mikhaĭlov, Roman Valer’evich 9 Porter, Timothy 9 Schauerte, Anneliese 9 Schweigert, Christoph 9 Scott, Philip J. 9 Sobociński, Paweł 9 Steinberg, Benjamin 9 van der Linden, Tim 9 Wang, Shuanhong 8 Abramsky, Samson 8 Bousfield, A. K. 8 Bulacu, Daniel 8 Caramello, Olivia 8 Carlson, Jon Frederick 8 Diers, Yves 8 Frith, John L. 8 Hackney, Philip 8 Keigher, William F. ...and 4,875 more Authors all top 5 Cited in 494 Serials 507 Journal of Pure and Applied Algebra 351 Journal of Algebra 264 Transactions of the American Mathematical Society 189 Applied Categorical Structures 186 Advances in Mathematics 132 Theoretical Computer Science 126 Communications in Algebra 109 Cahiers de Topologie et Géométrie Différentielle Catégoriques 86 Mathematische Zeitschrift 85 Topology and its Applications 83 Proceedings of the American Mathematical Society 76 Fuzzy Sets and Systems 71 Theory and Applications of Categories 68 Algebra Universalis 64 Algebraic & Geometric Topology 63 Annals of Pure and Applied Logic 61 Communications in Mathematical Physics 61 MSCS. Mathematical Structures in Computer Science 51 Bulletin of the American Mathematical Society 49 Semigroup Forum 47 Journal of Mathematical Sciences (New York) 43 Journal of Homotopy and Related Structures 42 Mathematische Annalen 40 Linear Algebra and its Applications 38 Manuscripta Mathematica 36 Logical Methods in Computer Science 35 International Journal of Theoretical Physics 34 Journal of Algebra and its Applications 33 Discrete Mathematics 31 The Journal of Symbolic Logic 31 Algebras and Representation Theory 30 Israel Journal of Mathematics 30 Archiv der Mathematik 29 Studia Logica 29 Information and Computation 27 Journal of Geometry and Physics 27 Inventiones Mathematicae 27 Synthese 25 Journal of Mathematical Physics 24 Compositio Mathematica 23 Selecta Mathematica. New Series 22 Bulletin of the Australian Mathematical Society 22 Cahiers de Topologie et Géométrie Différentielle Catégoriques 21 Geometry & Topology 20 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 20 Czechoslovak Mathematical Journal 19 Annales de l’Institut Fourier 19 Journal of Symbolic Computation 19 International Journal of Algebra and Computation 19 Bulletin of the American Mathematical Society. New Series 18 Duke Mathematical Journal 18 Tôhoku Mathematical Journal. Second Series 17 Journal of Mathematical Analysis and Applications 17 Journal of Functional Analysis 17 Memoirs of the American Mathematical Society 16 Nagoya Mathematical Journal 16 Rendiconti del Seminario Matematico della Università di Padova 15 Quaestiones Mathematicae 15 Journal of High Energy Physics 14 Mathematical Proceedings of the Cambridge Philosophical Society 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Journal of Combinatorial Theory. Series B 14 Journal of Computer and System Sciences 14 Order 14 \(K\)-Theory 14 Journal of the American Mathematical Society 14 Soft Computing 14 The Review of Symbolic Logic 13 Mathematische Nachrichten 13 Siberian Mathematical Journal 13 Mathematical Logic Quarterly (MLQ) 13 The Bulletin of Symbolic Logic 13 Documenta Mathematica 13 Journal of Noncommutative Geometry 13 Journal of Logical and Algebraic Methods in Programming 12 Discrete Applied Mathematics 12 International Journal of General Systems 12 Nuclear Physics. B 12 The Mathematical Intelligencer 12 Bulletin de la Société Mathématique de France 12 Geometriae Dedicata 12 European Journal of Combinatorics 12 International Journal of Mathematics 12 Indagationes Mathematicae. New Series 11 Acta Informatica 11 Mathematical Notes 11 Reports on Mathematical Physics 11 Journal of Soviet Mathematics 11 Archive for Mathematical Logic 10 Letters in Mathematical Physics 10 Linear and Multilinear Algebra 10 Theoretical and Mathematical Physics 10 Mathematical Systems Theory 10 Forum Mathematicum 10 Formal Aspects of Computing 10 Journal of Knot Theory and its Ramifications 10 Journal of Functional Programming 10 Foundations of Computational Mathematics 9 Notre Dame Journal of Formal Logic 9 Proceedings of the Edinburgh Mathematical Society. Series II ...and 394 more Serials all top 5 Cited in 61 Fields 2,557 Category theory; homological algebra (18-XX) 821 Associative rings and algebras (16-XX) 775 Algebraic topology (55-XX) 733 Group theory and generalizations (20-XX) 705 Mathematical logic and foundations (03-XX) 665 Computer science (68-XX) 414 Order, lattices, ordered algebraic structures (06-XX) 387 Algebraic geometry (14-XX) 307 Manifolds and cell complexes (57-XX) 302 Quantum theory (81-XX) 271 Commutative algebra (13-XX) 269 General topology (54-XX) 254 Combinatorics (05-XX) 247 Functional analysis (46-XX) 245 Nonassociative rings and algebras (17-XX) 200 General algebraic systems (08-XX) 160 \(K\)-theory (19-XX) 147 Field theory and polynomials (12-XX) 141 Topological groups, Lie groups (22-XX) 114 Differential geometry (53-XX) 110 Number theory (11-XX) 104 Global analysis, analysis on manifolds (58-XX) 92 General and overarching topics; collections (00-XX) 77 Linear and multilinear algebra; matrix theory (15-XX) 68 Systems theory; control (93-XX) 61 Several complex variables and analytic spaces (32-XX) 54 History and biography (01-XX) 53 Dynamical systems and ergodic theory (37-XX) 52 Convex and discrete geometry (52-XX) 42 Geometry (51-XX) 41 Relativity and gravitational theory (83-XX) 37 Operator theory (47-XX) 33 Statistics (62-XX) 33 Information and communication theory, circuits (94-XX) 29 Probability theory and stochastic processes (60-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Biology and other natural sciences (92-XX) 23 Partial differential equations (35-XX) 21 Real functions (26-XX) 21 Numerical analysis (65-XX) 20 Measure and integration (28-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Abstract harmonic analysis (43-XX) 17 Ordinary differential equations (34-XX) 17 Operations research, mathematical programming (90-XX) 14 Functions of a complex variable (30-XX) 13 Mechanics of particles and systems (70-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Special functions (33-XX) 6 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Mathematics education (97-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.