Soft Intersection Semigroups, Ideals and Bi-Ideals; a New Application on Semigroup Theory I


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SEZGİN SEZER A., ÇAĞMAN N., Atagun A. O., Ali M. I., TÜRKMEN E.

FILOMAT, cilt.29, sa.5, ss.917-946, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.2298/fil1505917s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.917-946
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, we define soft intersection semigroups, soft intersection left (right, two-sided) ideals and bi-ideals of semigroups, give their properties and interrelations and we characterize regular, intra-regular, completely regular, weakly regular and quasi-regular semigroups in terms of these ideals.