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On 2-absorbing and strongly 2-absorbing ideals of commutative semigroups

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2016

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Universitatii Al.I.Cuza din Iasi

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Abstract

In this paper, S denotes a commutative multiplicative semigroup with 1 and 0. A nonempty subset I of S is called an ideal of S if I satisfies the condition SI ⊆ I. We introduce and investigate the concepts of 2-absorbing ideals and strongly 2-absorbing ideals of S. Also, we study the relationships between 2-absorbing ideals and strongly 2-absorbing ideals of S. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.

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2-absorbing ideals, Commutative semigroups, Strongly 2-absorbing ideals

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https://hdl.handle.net/11424/257195

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