H. Mostafanasab, Ü. Tekir, G. Ulucak, “Uniformly $2$-absorbing primary ideals of commutative rings”, Algebra Discrete Math., 29:2 (2020), 221

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Algebra and Discrete Mathematics, 2020, Volume 29, Issue 2, Pages 221–240
DOI: https://doi.org/10.12958/adm476 (Mi adm754)

RESEARCH ARTICLE

Uniformly

$2$ -absorbing primary ideals of commutative rings

H. Mostafanasab^a, Ü. Tekir^b, G. Ulucak^c

^a Department of Mathematics and Applications, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran
^b Department of Mathematics, Faculty of Science and Arts, Marmara University 34722, Istanbul, Turkey
^c Department of Mathematics, Gebze Technical University, P. K. 14141400 Gebze, Kocaeli, Turkey

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DOI: https://doi.org/10.12958/adm476

Abstract: In this study, we introduce the concept of "uniformly

$2$ -absorbing primary ideals" of commutative rings, which imposes a certain boundedness condition on the usual notion of

$2$ -absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly

$2$ -absorbing primary ideals of commutative rings with examples. Also, we investigate a specific kind of uniformly

$2$ -absorbing primary ideals by the name of "special

$2$ -absorbing primary ideals".

Keywords: uniformly

$2$ -absorbing primary ideal, Noether strongly

$2$ -absorbing primary ideal,

$2$ -absorbing primary ideal.

Received: 10.06.2017

Bibliographic databases:

Document Type: Article

MSC: Primary 13A15; Secondary 13E05, 13F05

Language: English

Citation: H. Mostafanasab, Ü. Tekir, G. Ulucak, “Uniformly

$2$ -absorbing primary ideals of commutative rings”, Algebra Discrete Math., 29:2 (2020), 221–240

Citation in format AMSBIB

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\by H.~Mostafanasab, \"U.~Tekir, G.~Ulucak

\paper Uniformly $2$-absorbing primary ideals of commutative rings

\jour Algebra Discrete Math.

\yr 2020

\vol 29

\issue 2

\pages 221--240

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\crossref{https://doi.org/10.12958/adm476}

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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85087617452}

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Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	84
Full-text PDF :	66
References:	39

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