2-absorbing δ-primary ideals in commutative rings

B Fahid, Z Dongsheng - Kyungpook Mathematical Journal, 2017 - koreascience.kr
Kyungpook Mathematical Journal, 2017koreascience.kr
… In this paper we investigate 2-absorbing δ-primary ideals which unify 2absorbing ideals
and 2-absorbing primary ideals. A number of results about … In this short paper we
introduce the notion of 2-absorbing δ-primary ideal where δ is a mapping that assigns to
each ideal I an ideal δ(I) of the same ring. Such … In the following result, we show that an
ideal I is 2-absorbing δ-primary if and only if I is strongly 2-absorbing δ-primary ideal of R, it
is an extension of [4, Theorem 2.19]. But first we have the following lemma, it is an extension …
Abstract
In this paper we investigate 2-absorbing -primary ideals which unify 2-absorbing ideals and 2-absorbing primary ideals. A number of results about 2-absorbing ideals and 2-absorbing primary ideals are extended into this general framework.
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