Oriented Algebras and the Hochschild Cohomology Group

Ali N. A. Koam
Additional contact information
Ali N. A. Koam: Department of Mathematics, College of Sciences, Jazan University, New Campus, Jazan 2097, Saudi Arabia

Mathematics, 2018, vol. 6, issue 11, 1-11

Abstract: 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 ˜ G * ( A , X ) . In this paper, we form a new bicomplex F ? G * ( A , X ) by deleting the first column and the first row and reindexing. We show that H ? G 1 ( A , X ) classifies the singular extensions of oriented algebras.

Keywords: group cohomology; hochschild cohomology; oriented algebras (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/11/237/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/11/237/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:6:y:2018:i:11:p:237-:d:179793

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().