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Primeness of Relative Annihilators in BCK-Algebra
Hashem Bordbar, 2020, original scientific article

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: osebi
Keywords: lower BCK-semilattice, relative annihilator, semi-prime closure operation, minimal prime decomposition, minimal prime factor
Published: 24.02.2020; Views: 1593; Downloads: 0
.pdf Fulltext (267,96 KB)

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