| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 131 4 |
| Ultima descărcare din IBN: 2024-06-08 06:18 |
| Căutarea după subiecte similare conform CZU |
| 512.53 (66) |
| Алгебра (413) |
 SM ISO690:2012LUANGCHAISRI, Panuwat, CHANGPHAS, Thawhat. Prime one-sided ideals in ordered semigroups. In: Quasigroups and Related Systems, 2024, vol. 32, nr. 1, pp. 49-57. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v32.05 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
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| Volumul 32, Numărul 1 / 2024 / ISSN 1561-2848 | ||||||
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| DOI:https://doi.org/10.56415/qrs.v32.05 | ||||||
| CZU: 512.53 | ||||||
| MSC 2010: 06F05, 20M20 | ||||||
| Pag. 49-57 | ||||||
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| Rezumat | ||||||
We prove that the following are equivalent: (1) an ordered semigroup S with zero and identity is right weakly regular; (2) (AA] = A for any right ideal A of S; (3) A \ I = (AI] for any right ideal A and two-sided ideal I of S; (4) B \ I (BI] for any bi-ideal B and two-sided ideal I of S; (5) B\I \A (BIA] for any bi-ideal B, right ideal A and two-sided ideal I of S; and prove that S is a fully prime right ordered semigroup if and only if S is right weakly regular and the set of all two-sided ideals of S is totally ordered. |
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| Cuvinte-cheie ordered semigroup, prime right ideal, semiprime right ideal, right weakly regular, irreducible, Strongly irreducible, fully prime right |
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