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Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology.

Authors :
Cibils, Claude
Lanzilotta, Marcelo
Marcos, Eduardo N.
Solotar, Andrea
Source :
Proceedings of the American Mathematical Society. Jun2020, Vol. 148 Issue 6, p2421-2432. 12p.
Publication Year :
2020

Abstract

We describe how the Hochschild (co)homology of a bound quiver algebra changes when deleting or adding arrows to the quiver. The main tools are relative Hochschild (co)homology, the Jacobi-Zariski long exact sequence obtained by A. Kaygun, and a length one relative projective resolution of tensor algebras. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
148
Issue :
6
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
142540100
Full Text :
https://doi.org/10.1090/proc/14936