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, cilt.3, sa.F2, ss.871-881, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3 Sayı: F2
  • Basım Tarihi: 2016
  • Dergi Adı: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.871-881
  • Anahtar Kelimeler: 2-absorbing ideals, Commutative semigroups, Strongly 2-absorbing ideals
  • İstanbul Medipol Üniversitesi Adresli: Evet

Özet

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.