On a skew generalized triangular matrix ring

Document Type : Original Manuscript


1 Department of Mathematics, Tafresh University

2 Kamal Paykan Department of Basic Sciences Garmsar Branch Islamic Azad University Garmsar, Iran



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.