A Finite type Closure Operations on BCK-algebrasBordbar, Hashem (Avtor)
Zahedi, Mohammad Mehdi (Mentor)
BCI-algebraBCK-algebraclosure operationfinite type closure operation.In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the intersection and union (by imposing some additional conditions) of closure operations is a closure operation and every closure operation is a finite type on any finitely generated ideal. Moreover by given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related results.20162019-12-01 01:11:32Delo ni kategorizirano4889COBISS_ID: 5490171DOI: 10.18576/amisl/040204NUK URN: URN:SI:UNG:REP:XPQYXM1Jsl