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http://dx.doi.org/10.5666/KMJ.2022.62.3.425

On 2-absorbing Primary Ideals of Commutative Semigroups  

Mandal, Manasi (Department of Mathematics, Jadavpur University)
Khanra, Biswaranjan (Department of Mathematics, Jadavpur University)
Publication Information
Kyungpook Mathematical Journal / v.62, no.3, 2022 , pp. 425-436 More about this Journal
Abstract
In this paper we introduce the notion of 2-absorbing primary ideals of a commutative semigroup. We establish the relations between 2-absorbing primary ideals and prime, maximal, semiprimary and 2-absorbing ideals. We obtain various characterization theorems for commutative semigroups in which 2-absorbing primary ideals are prime, maximal, semiprimary and 2-absorbing ideals. We also study some other important properties of 2-absorbing primary ideals of a commutative semigroup.
Keywords
Commutative semigroup; Prime ideal; Maximal ideal; Semiprime ideal; Semiprimary ideal; 2-absorbing ideal;
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Times Cited By KSCI : 2  (Citation Analysis)
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