Analysis of semigroups with soft intersection ideals

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Sezgin A., Orbay M.

Acta Universitatis Sapientiae, Mathematica, cilt.14, sa.1, ss.166-210, 2022 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2478/ausm-2022-0012
  • Dergi Adı: Acta Universitatis Sapientiae, Mathematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.166-210
  • Anahtar Kelimeler: duo semigroups, semilattice of groups, semisimple semigroups, soft intersection (interior, quasi, bi, generalized bi) ideal, soft intersection semigroup, soft normal semigroup, soft set
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

In this paper, semisimple semigroups, duo semigroups, right (left) zero semigroups, right (left) simple semigroups, semilattice of left (right) simple semigroups, semilattice of left (right) groups and semilattice of groups are characterized in terms of soft intersection semigroups, soft intersection ideals of semigroups. Moreover, soft normal semigroups are defined and some characterizations of semigroups with soft normality are given.