Authors
Hashem Bordbar, G Muhiuddin, Abdulaziz M Alanazi
Publication date
2020/2/15
Journal
Symmetry
Volume
12
Issue
2
Pages
286
Publisher
MDPI
Description
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.
Total citations
202020212022254
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