SOME CLASSIFICATIONS OF MONOIDS BY VARIOUS NOTIONS OF INJECTIVITY OF ACTS | ||
| Journal of Algebraic Systems | ||
| دوره 8، شماره 2، فروردین 2021، صفحه 165-180 اصل مقاله (163.27 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2020.8626.1417 | ||
| نویسندگان | ||
| M. Roueentan1؛ M. Ershad2؛ M. A. Naghipoor* 3 | ||
| 1Lamerd Higher Education Center, Lamerd, Iran. | ||
| 2Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71454, Shiraz, Iran. | ||
| 3Department of Mathematics, Jahrom University, P.O. Box 74135-11, Jahrom, Iran. | ||
| چکیده | ||
| This paper is a continuation of recent researches concerning generalization of injectivity of acts over moniods, namely, C-injectivity and InD-injectivity. We introduce new kinds of injectivity, such as, LC-injectivity and CQ-injectivity. Classi cations of monoids by properties of these kinds of injective acts are presented. It is proved that a monoid S is completely (cyclic) injective if and only if it is completely quasi (CQ-) injective. Some results on quasi-injective acts are proved. Also new characterizations for right hereditary monoids and right PP-monoids are given. | ||
| کلیدواژهها | ||
| Locally cyclic (weakly) injective act؛ Indecomposable (weakly) injective act؛ C- injective act | ||
|
آمار تعداد مشاهده مقاله: 421 تعداد دریافت فایل اصل مقاله: 986 |
||