ON SKEW GENERALIZED TRIANGULAR MATRIX RINGS | ||
| Journal of Algebraic Systems | ||
| دوره 13، شماره 1، تیر 2025، صفحه 151-162 اصل مقاله (141.06 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12285.1654 | ||
| نویسندگان | ||
| Mohammad Habibi* ؛ Kamal Paykan | ||
| Department of Mathematics, Tafresh University, P.O. Box 39518-79611, Tafresh, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Armendariz rings؛ NI rings؛ 2-primal rings؛ skew monoid rings؛ skew triangular matrix rings | ||
| مراجع | ||
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