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Title:Primeness of Relative Annihilators in BCK-Algebra
Authors:Bordbar, Hashem (Author)
Mihuddin, G. (Author of additional text)
Alanazi, Abdulaziz (Author of abstract)
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Language:English
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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.
Keywords:lower BCK-semilattice, relative annihilator, semi-prime closure operation, minimal prime decomposition, minimal prime factor
Year of publishing:2020
Number of pages:11
Numbering:12, 2
COBISS_ID:5574395 Link is opened in a new window
URN:URN:SI:UNG:REP:8SCX4ERJ
License:CC BY 4.0
This work is available under this license: Creative Commons Attribution 4.0 International
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Title:Symmetry
Year of publishing:2020

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Language:English
Title:Primeness of Relative Annihilators in BCK-Algebra


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