Article detail · 2014 · article
ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
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- YÖKSİSYÖKSİS article record
- YÖKSİS venueBulletin of the Korean Mathematical Society
- Catalog match (ISSN)Bulletin of the Korean Mathematical Society
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
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Abstract
Let R be a commutative ring with $1{\neq}0$ . In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever $a,b,c{\in}R$ and $abc{\in}I$ , then $ab{\in}I$ or $ac{\in}\sqrt{I}$ or $bc{\in}\sqrt{I}$ . A number of results concerning 2-absorbing primary ideals and examples of 2-absorbing primary ideals are given.
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Citations
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123citationsOpenAlex · cited_by_count (cache / database)
82 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2017 n-ideals of commutative ringsCitations 57 · OpenAlex
- 2017 n-Ideals of Commutative RingsCitations 57 · OpenAlex
- 2020 On 1-absorbing primary ideals of commutative ringsCitations 53 · OpenAlex
- 2015 ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGSCitations 39 · OpenAlex
- 2015 ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGSCitations 39 · OpenAlex
- 2015 ON WEAKLY 2 ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGSCitations 39 · OpenAlex
- 2016 On 2-Absorbing Primary Submodules of Modules over Commutative RingsCitations 30 · OpenAlex
- 2016 ON 2-ABSORBING PRIMARY SUBMODULES OF MODULES OVER COMMUTATIVE RINGSCitations 30 · OpenAlex
- 2016 Generalizations of 2 absorbing primary ideals of commutative ringsCitations 24 · OpenAlex
- 2016 Generalizations of 2-absorbing primary ideals of commutative ringsCitations 24 · OpenAlex