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MATHEMATICAL SURVEYS AND DMONOGRAPHS VOLUME 45: COGROUPS AND CO-RINGS IN CATEGORIES OF ASSOCIATIVE RINGS by George M. Bergman, Adam O. Hausknecht, George M Bergman, Adam O Hausknecht, Bergman, George M. , 1943- is a book available to read on EtoBox.

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Ch. I. Introduction -- Ch. Ii. Review Of Coalgebras And Representable Functors -- Ch. Iii. Representable Functors From Rings To Abelian Groups -- Ch. Iv. Digressions On Semigroups, Etc. -- Ch. V. Representable Functors From Algebras Over A Field To Rings -- Ch. Vi. Representable Functors From K-rings To Rings -- Ch. Vii. Representable Functors From Rings To General Groups And Semigroups -- Ch. Viii. Representable Functors On Categories Of Commutative Associative Algebras -- Ch. Ix. Representable Functors On Categories Of Lie Algebras -- Ch. X. Multilinear Algebra Of Representable Functors On K-ring[superscript 1] -- Ch. Xi. Directions For Further Investigation. George M. Bergman, Adam O. Hausknecht. Includes Bibliographical References (p. - ) And Index. Studies representable functors among well-known varieties of algebras. This work determines all such functors from associative rings over a fixed ring $R$ to each of the categories of abelian groups, associative rings, Lie rings, and to several others. It also includes a 'Symbol index', which serves as a glossary of symbols used.

Author

George M. Bergman, Adam O. Hausknecht, George M Bergman, Adam O Hausknecht, Bergman, George M. , 1943-

Publisher

AMERICAN MATHEMATICAL SOCIETY

Published

1996

Language

EN

ISBN

9789201009968

Subjects

Mathematics, Technology, Stem