| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 579 1 |
| Ultima descărcare din IBN: 2020-03-30 14:45 |
| Căutarea după subiecte similare conform CZU |
| 512.563+517.98 (2) |
| Алгебра (400) |
| Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (242) |
 SM ISO690:2012BAKHSHI, Mahmood, RADFAR, Akefe. Characterization of obstinate HuMV-ideals. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 2(42), pp. 181-200. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 27, Numărul 2(42) / 2019 / ISSN 1561-2848 | ||||||
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| CZU: 512.563+517.98 | ||||||
| Pag. 181-200 | ||||||
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| Rezumat | ||||||
One motivation to study obstinate ideals in any algebra of logic is that the induced quotient algebra by these ideals is the two-element Boolean algebra. In this paper, we introduce two types of obstinate ideals in HvMV-algebras; obstinate HvMV-ideals and obstinate weak HvMV-ideals. Giving several theorems and examples we characterize these HvMV-ideals. For example, we prove that an HvMV-ideal (if exists) must be maximal, and any HvMV-algebra with odd number of elements does not contatin an obstinate HvMV-ideal. Also, we characterize these HvMV-ideals in nite HvMV-algebras with at most six elements; we investigate that which subsets can be an obstinate (weak) HvMV-ideal. In the sequel, we investigate the relationships between obstinate (weak) HvMV-ideals, and Boolean and prime HvMV-ideals. Finally, we prove that in a commutative HvMV-algebra, the quotient HvMV-algebra induced by an obstinate weak HvMV-ideal must be a two-elements Boolean algebra. |
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