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chapterNo Access
AN EXTENSION OF RINGS AND HOCHSCHILD 2-COCYCLES
- M. TAMER KOŞAN,
- TSIU-KWEN LEE, and
- YIQIANG ZHOU
Contemporary Ring Theory 201101 Apr 2012
Preview Abstract
The focus of this paper is on a ring construction H_n(R; σ) based on a given ring R and a Hochschild 2-cocycle σ. This construction is a unified generalization of the ring R[x]/(xⁿ⁺¹) and the Hochschild extension H_σ(R, R). Here we discuss when the ring H_n(R; σ) is reversible, symmetric, Armendariz, abelian and uniquely clean, respectively. Several known results of R[x]/(xⁿ⁺¹) and H_σ(R, R) are extended to H_n(R; σ), and new examples of reversible, symmetric and Armendariz rings are given.

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