دورية أكاديمية
On Some Kinds of Injectivity of GHS-Acts.
| العنوان: | On Some Kinds of Injectivity of GHS-Acts. |
|---|---|
| المؤلفون: | Ghasempour, M., Rasouli, H., Iranmanesh, A., Barzegar, H., Tehranian, A. |
| المصدر: | Journal of Mathematical Extension; 2024, Vol. 18 Issue 1, p1-10, 10p |
| مصطلحات موضوعية: | GENERALIZATION |
| مستخلص: | In the theory of S-acts, there exists a plethora of compelling findings that establish connections between regularity in a monoid S and injectivity (as well as other notions derived from injectivity) of Sacts. In this paper, we introduce the notion of strongly regular elements in a hypermonoid as a generalization of regular elements in a monoid and extend several classic results to hypermonoids and GHS-acts over hypermonoids. Particularly, we show that a hypermonoid S is strongly regular and injective GHS-act if and only if all right hyperideals of S are C-injective. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Mathematical Extension is the property of Islamic Azad University Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| قاعدة البيانات: | Complementary Index |
Full Text Finder كن أول من يترك تعليقا!