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Algebraic Deformations and Bicohomology

Published online by Cambridge University Press:  20 November 2018

Thomas F. Fox
Thomas F. Fox*
Affiliation:
Vanier College, 821 Ste-Croix Blvd., Montreal, Quebec, Canada H4L 3X9
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Abstract

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Recently we have introduced an enriched cohomology theory for categories that are tripleable (algebraic) over a category of modules. The cohomology admits a circle product, related to the obstruction problem for algebraic deformations, making the total complex a graded ring. We here offer similar constructions in two other situations - coalgebraic and bialgebraic categories. Examples include categories of bialgebras, sheaves of modules, and sheaves of algebras over a sheaf of rings.

Keywords

18C1518G9916A58
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 2 , 01 June 1989 , pp. 182 - 189
Copyright
Copyright © Canadian Mathematical Society 1989

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