Background
Type: Article

Reversible skew generalized power series rings

Journal: Bulletin of the Australian Mathematical Society (17551633)Year: 2011/12/01Volume: Issue: 3
BronzeDOI:10.1017/S0004972711002450Language: English

Abstract

In this note we show that there exist a semiprime ring R, a strictly ordered artinian, narrow, unique product monoid (S,≤) and a monoid homomorphism ω:S→End(R) such that the skew generalized power series ring R[[S,ω]] is semicommutative but R[[S,ω]] is not reversible. This answers a question posed in Marks et al. ['A unified approach to various generalizations of Armendariz rings', Bull. Aust. Math. Soc. 81 (2010), 361-397]. © Copyright Australian Mathematical Publishing Association Inc. 2011.


Author Keywords

reversiblesemicommutativeskew generalized power series ring