Reversible skew generalized power series rings

Authors

  • Alireza Nasr-Isfahani

Keywords:

Skew generalized power series ring, semicommutative

Abstract

In this note we show that there exist a semiprime ring R, strictly ordered a.n.u.p. monoid (S,<) and a monoid homomorphism $\omega: S\longrightarrow End(R)$ such that the skew generalized power series ring $R[[S, \omega]]$ is semicommutative but $R[[S, \omega]]$ is not reversible. This answers a question posed in G. Marks et al. [A unified approach to various generalizations of Armendariz rings. Bull. Aust. Math. Soc. 81 (2010) 361-397.]. doi:10.1017/S0004972711002450

Published

2011-10-27

Issue

Vol. 84 No. 3 (2011)

Section

Articles
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