ON SKEW GENERALIZED TRIANGULAR MATRIX RINGS

Author(s):

Mohammad Habibi * , Kamal Paykan

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Armendariz Rings , NI Rings , 2-Primal Rings , Skew Monoid Rings , Skew Triangular Matrix Rings

Language:
English
Published:
Journal of Algebraic Systems, Volume:13 Issue: 1, Summer-Autumn 2025
Pages:
151 to 162
https://www.magiran.com/p2820710