SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA
In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover, by giving some examples, we show that the given different notions are independent together, for instance, there is a semi-prime closure operation, which is not a good semi-prime. Finally by given the notion of “cf-Max X”, we prove that every member of “cf-Max X” is a prime ideal. Also, we conclude some more related results.
BCI-algebra
BCK-algebra
closure operation
finite type closure operation
semi-prime closure operation.
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Angleški jezik
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2019-12-01 05:43:56
2019-12-01 21:59:41
2019-12-02 03:08:56
2015
0
0
385-402
30
4
2015
0000-00-00
NiDoloceno
NiDoloceno
5490427
URN:SI:UNG:REP:QNO5NHH6
Univerza v Novi Gorici