Primeness of Relative Annihilators in BCK-AlgebraBordbar, Hashem (Avtor)
Mihuddin, G. (Avtor dodatnega besedila)
Alanazi, Abdulaziz (Avtor povzetka)
lower BCK-semilatticerelative annihilatorsemi-prime closure operationminimal prime decompositionminimal prime factorConditions 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.20202020-02-24 09:52:02Delo ni kategorizirano5047COBISS_ID: 5574395URN: URN:SI:UNG:REP:8SCX4ERJsl