Search the repository

A+ | A- | | SLO | ENG

Found in: ključnih besedah
Summary of found: ...BCK–algebra, ideal, lower BCK–semilattice, relative annihilator...
Keywords: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Published: 12.02.2018; Views: 2697; Downloads: 0
Fulltext (388,89 KB)

Abstract: The notion of tender and naive weak closure operation is introduced, and their relations and properties are investigated. Using a weak closure operation "d" and an ideal A of a lower BCK-semilattice X with the greatest element 1, a new ideal K of X containing the ideal Acl of X is established. Using this ideal K, a new function clt : I(X) → I(X); A → K is given, and related properties are considered. We show that if "cl" is a tender (resp., naive) weak closure operation on I(X), then so are "clt" and clf.
Found in: ključnih besedah
Summary of found: ...zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure...
Keywords: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Published: 02.12.2019; Views: 1997; Downloads: 0
Fulltext (648,16 KB)

Abstract: Conditions that are necessary for the relative annihilator in lower BCK-semilattices to be a prime ideal are discussed. Given the minimal prime decomposition of an ideal A, a condition for any prime ideal to be one of the minimal prime factors of A is provided. Homomorphic image and pre-image of the minimal prime decomposition of an ideal are considered. Using a semi-prime closure operation “cl”, we show that every minimal prime factor of a cl-closed ideal A is also cl-closed.
Found in: ključnih besedah
Summary of found: ...Conditions that are necessary for the relative annihilator in lower BCK-semilattices to be a prime...
Keywords: lower BCK-semilattice, relative annihilator, semi-prime closure operation, minimal prime decomposition, minimal prime factor
Published: 24.02.2020; Views: 1980; Downloads: 0
Fulltext (267,96 KB)