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Cogroups and Co-rings in Categories of Associative Rings

About this Title

George M. Bergman and Adam O. Hausknecht

Publication: Mathematical Surveys and Monographs
Publication Year: 1996; Volume 45
ISBNs: 978-0-8218-0495-7 (print); 978-1-4704-1276-0 (online)
DOI: https://doi.org/10.1090/surv/045
MathSciNet review: MR1387111
MSC: Primary 16B50; Secondary 17B99, 18A40, 18D35

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Table of Contents

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Front/Back Matter

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Chapters

• I. Introduction
• II. Review of coalgebras and representable functors
• III. Representable functors from rings to abelian groups
• IV. Digressions on semigroups, etc.
• V. Representable functors from algebras over a field to rings
• VI. Representable functors from $k$-rings to rings
• VII. Representable functors from rings to general groups and semigroups
• VIII. Representable functors on categories of commutative associative algebras
• IX. Representable functors on categories of Lie algebras
• X. Multilinear algebra of representable functors on $k-\mathrm {Ring}^1$
• XI. Directions for further investigation