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On the Hochschild cohomology ring of integral cyclic algebras | Synapse

April 3, 2026Open Access

On the Hochschild cohomology ring of integral cyclic algebras

MSMasamitsu ShimakuraTakushoku University KSKatsunori SanadaTokyo University of Science

Key Points

The aim is to determine the ring structure of the Hochschild cohomology for integral cyclic algebras.
Constructed a projective bimodule resolution.
Calculated the cup product using a diagonal approximation map.
Identified the ring structure of the Hochschild cohomology.
Provided insights into the algebraic properties of cyclic algebras.

Abstract

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

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Cite This Study

Shimakura et al. (Fri,) studied this question.

synapsesocial.com/papers/69cf59635a333a821460a054 https://doi.org/https://doi.org/10.20604/00000329

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