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On 1-Absorbing Prime and 1-Absorbing Primary Ideals of Amalgamations

Comptes Rendus De L'Academie Bulgare Des Sciences, 2023
In this note, we define the 1-absorbing prime ideals and 1-absorbing primary ideals in the amalgamations of A with B along J with respect to f denoted $$A \bowtie ^f J$$ and give some results.
Abuzer Gunduz
exaly   +2 more sources

On Weakly 2-Absorbing Primary Ideals of Commutative Rings

open access: yesJournal of the Korean Mathematical Society, 2015
Let R be a commutative ring with 1 not equal 0. In this paper, we introduce the concept of weakly 2-absorbing primary ideal which is a generalization of weakly 2-absorbing ideal.
Unsal Tekir, Ayman Badawi
exaly   +2 more sources

On 2-Absorbing Primary Ideals in Commutative Rings

open access: yesBulletin of the Korean Mathematical Society, 2014
Let R be a commutative ring with 1 not equal 0. In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal.
Unsal Tekir, Ayman Badawi
exaly   +2 more sources

On 2-Absorbing Quasi-Primary Ideals in Commutative Rings

open access: yesCommunications in Mathematics and Statistics, 2016
Let R be a commutative ring with nonzero identity. In this article, we introduce the notion of 2-absorbing quasi-primary ideal which is a generalization of quasi-primary ideal.
Unsal Tekir, Suat Koc
exaly   +2 more sources

On uniformly $1$-absorbing primary ideals

Publicationes Mathematicae Debrecen, 2023
Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.
Naji, OA   +3 more
openaire   +2 more sources

Some Properties of 2-Absorbing Primary Ideals in Lattices

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
We introduce the concepts of a primary and a 2-absorbing primary ideal and the radical of an ideal in a lattice. We study some properties of these ideals. A characterization for the radical of an ideal to be a primary ideal is given.
Meenakshi P. Wasadikar   +1 more
exaly   +2 more sources

Rings Over Which Every Semi-Primary Ideal Is 1-Absorbing Primary

Communications in Algebra, 2020
Let R be commutative ring with 1≠0. A proper ideal I of R is called a 1-absorbing primary ideal of R if whenever nonunit elements a,b,c∈R and abc∈I, then ab∈I or c∈I.
Fuad Ali Ahmed Almahdi   +2 more
exaly   +2 more sources

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