| Authors | M. Habibi - K. Paykan |
|---|---|
| Journal | Journal of Algebraic Systems |
| Paper Type | Full Paper |
| Published At | 09-04-2024 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | ISC |
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.