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Ordered algebraic structures --- 512 --- Algebra --- Categories (Mathematics) --- Functor theory. --- Categories (Mathematics). --- 512 Algebra --- Categories (mathematiques) --- Colloque --- Catégories (mathématiques) --- Foncteurs, Théorie des.
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Categories (Mathematics) --- Computer science --- Catégories (Mathématiques) --- Informatique --- Mathematics --- Mathématiques --- Mathematics. --- Catégories (Mathématiques) --- Mathématiques --- Computer science - Mathematics. --- Catégories (mathématiques)
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Torsion theory (Algebra) --- Associative rings --- Modules (Algebra) --- Algebres et anneaux associatifs --- Categories (mathematiques) --- Categories abeliennes
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Ordered algebraic structures --- 512 --- Algebra --- 512 Algebra --- Algebres et anneaux commutatifs --- Algebres et anneaux associatifs --- Categories (mathematiques) --- Categories abeliennes
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Radical theory --- RINGS (Algebra) --- Modules (Algebra) --- Algebres et anneaux associatifs --- Ideaux et modules --- Categories (mathematiques) --- Categories abeliennes
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"Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. This concise, original text for a one-semester course on the subject is derived from courses that author Emily Riehl taught at Harvard and Johns Hopkins Universities. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads, and other topics. Suitable for advanced undergraduates and graduate students in mathematics, the text provides tools for understanding and attacking difficult problems in algebra, number theory, algebraic geometry, and algebraic topology. Drawing upon a broad range of mathematical examples from the categorical perspective, the author illustrates how the concepts and constructions of category theory arise from and illuminate more basic mathematical ideas. Prerequisites are limited to familiarity with some basic set theory and logic."--
Category theory. Homological algebra --- Categories (Mathematics) --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Functor theory. --- Mathematics. --- Catégories (Mathématiques)
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Saunders MacLane, born in Connecticut in 1909, studied mathematics at Yale, Chicago and Göttingen and has taught mathematics at Harvard, Cornell and the University of Chicago. He is now the Max Mason Distinguished Service Professor of Mathematics at the University of Chicago. With Samuel Eilenberg he discovered the theory of categories and some of the basic ideas of homological algebra. His book Homology, covering the latter subject, was published by Springer-Verlag in 1963. This book summarizes the ideas and methods of category theory, which can now be effectively used by mathematicians working in a variety of other fields of mathematical research. The book is based on his lectures at Chicago, Canberra, Bowdoin and Tulane.
512.58 --- 512.58 Categories. Category theory --- Categories. Category theory --- Category theory. Homological algebra --- Catégories (Mathématiques) --- Catégories (Mathématiques) --- Categories (Mathematics) --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Categories (Mathematics). --- Algebra, Homological. --- Catégories (mathématiques) --- Algèbre homologique. --- Acqui 2006 --- Catégories (mathématiques) --- Algèbre homologique.
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