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 SM ISO690:2012NASR-AZADANI, MohammadA., ZAHEDI, Mohammad-Mehdi. A note on a union of hyper K-algebras
. In: Quasigroups and Related Systems, 2008, vol. 16, nr. 1(19), pp. 89-96. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Volumul 16, Numărul 1(19) / 2008 / ISSN 1561-2848 | ||||||
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| Pag. 89-96 | ||||||
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| Rezumat | ||||||
In this paper, at rst by some examples we show that the Theorem 3.7
of [1] is not true in general. Then we give a correct version of it. More-
over we give the notion of a union of a family of hyper K-algebras and
investigate some of its properties. Finally by considering the concept of
(closed set)-decomposable, we show that a hyper BCK-algebra is (closed
set)-decomposable if and only if it is the union of a family of hyper BCK-
algebras.
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| Cuvinte-cheie (P)-closed union decomposition, union hyper K-algebra, positive implica- tive and implicative hyper K-algebra, S-absorbing, (P)-Decomposition |
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