ON REGULAR PRIME INJECTIVITY OF S-POSETS
| Autor: | H. Rasouli, Gh. R. Moghaddasi, N. Sarvghad |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Journal of Algebraic Systems, Vol 8, Iss 2, Pp 219-230 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2345-5128 2345-511X |
| DOI: | 10.22044/jas.2020.8317.1406 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|