Open Access
December 2016 On the Hochschild cohomology ring of integral cyclic algebras
Masamitsu Shimakura, Katsunori Sanada
Author Affiliations +
SUT J. Math. 52(2): 159-179 (December 2016). DOI: 10.55937/sut/1482246130

Abstract

We determine the ring structure of the Hochschild cohomology HH*(Γ) of an integral cyclic algebra Γ by giving a projective bimodule resolution of Γ and calculating cup product by means of a diagonal approximation map.

Acknowledgement

The authors would like to thank the referee for many helpful comments and careful reading of the manuscript.

Citation

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Masamitsu Shimakura. Katsunori Sanada. "On the Hochschild cohomology ring of integral cyclic algebras." SUT J. Math. 52 (2) 159 - 179, December 2016. https://doi.org/10.55937/sut/1482246130

Information

Received: 3 March 2016; Revised: 14 November 2016; Published: December 2016
First available in Project Euclid: 8 June 2022

Digital Object Identifier: 10.55937/sut/1482246130

Subjects:
Primary: 16E40 , 16H05 , 16H10

Keywords: cyclic algebra , Hochschild cohomology , order , quaternion algebra

Rights: Copyright © 2016 Tokyo University of Science

Vol.52 • No. 2 • December 2016
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