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REVERSIBLE SKEW GENERALIZED POWER SERIES RINGS
Published online by Cambridge University Press: 21 July 2011
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].
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 455 - 457
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011