Algebraic Deformations and Bicohomology
Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 182-189
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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.
Fox, Thomas F. Algebraic Deformations and Bicohomology. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 182-189. doi: 10.4153/CMB-1989-027-9
@article{10_4153_CMB_1989_027_9,
author = {Fox, Thomas F.},
title = {Algebraic {Deformations} and {Bicohomology}},
journal = {Canadian mathematical bulletin},
pages = {182--189},
year = {1989},
volume = {32},
number = {2},
doi = {10.4153/CMB-1989-027-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-027-9/}
}
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