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

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Cay H., Mostafanasab H., Ulucak G., Tekir Ü.

Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, vol.3, no.F2, pp.871-881, 2016 (Scopus)

• Publication Type: Article / Article
• Volume: 3 Issue: F2
• Publication Date: 2016
• Journal Name: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
• Journal Indexes: Scopus
• Page Numbers: pp.871-881
• Keywords: 2-absorbing ideals, Commutative semigroups, Strongly 2-absorbing ideals
• Istanbul Medipol University Affiliated: Yes

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.