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Oriented Algebras and the Hochschild Cohomology Group
Journal article   Open access  Peer reviewed

Oriented Algebras and the Hochschild Cohomology Group

Ali N. A. Koam
Mathematics (Basel), Vol.6(11), p.237
01/11/2018

Abstract

Mathematics Physical Sciences Science & Technology
Koam and Pirashivili developed the equivariant version of Hochschild cohomology by mixing the standard chain complexes computing group with associative algebra cohomologies to obtain the bicomplex (C) over tilde (G)*(A, X). In this paper, we form a new bicomplex (sic)(G)* (A, X) by deleting the first column and the first row and reindexing. We show that (1)((sic)G) (A, X) classifies the singular extensions of oriented algebras.
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https://doi.org/10.3390/math6110237View
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