SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRABordbar, Hashem (Avtor)
zahdi, mohammad mehdi (Mentor)
BCI-algebraBCK-algebraclosure operationfinite type closure operationsemi-prime closure operation.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.20152019-12-01 05:43:56Delo ni kategorizirano4891sl