ON REGULAR PRIME INJECTIVITY OF S-POSETS | ||
| Journal of Algebraic Systems | ||
| دوره 8، شماره 2، فروردین 2021، صفحه 219-230 اصل مقاله (169.94 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2020.8317.1406 | ||
| نویسندگان | ||
| H. Rasouli* 1؛ Gh. R. Moghaddasi2؛ N. Sarvghad3 | ||
| 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. | ||
| 3Department of Mathematics, Hakim Sabzevary University, Sabzevar, Iran. | ||
| چکیده | ||
| In this paper, we define the notion of regular prime monomorphism for $S$-posets over a pomonoid $S$ and investigate some categorical properties including products, coproducts and pullbacks. We study $\mathcal{M}$-injectivity in the category of $S$-posets where $\mathcal{M}$ is the class of regular prime monomorphisms and show that the Skornjakov criterion fails for the regular prime injectivity. Considering a weaker form of such kind of injectivity, we obtain some classifications for pomonoids. | ||
| کلیدواژهها | ||
| prime sub $S$-poset؛ regular prime monomorphism؛ regular prime injective | ||
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آمار تعداد مشاهده مقاله: 452 تعداد دریافت فایل اصل مقاله: 529 |
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