On skew generalized triangular matrix rings

Document Type : Original Manuscript

Authors

Department of Mathematics, Tafresh University, P.O. Box 39518-79611, Tafresh, Iran.

Abstract

In this article, we study skew monoid rings in which the monoid used in their structure is a quotient of a free monoid. We study annihilator conditions of them and describe conditions for transferring some properties from the base ring $R$ to these extensions. Interesting examples are provided for properties that are not transferred from $R$ to these extensions.

Keywords


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