Soft Intersection Interior Ideals, Quasi-ideals and Generalized Bi-Ideals; A New Approach to Semigroup Theory II
Özet
In this paper, we define soft intersection interior ideals, quasi-ideals and generalized bi-ideals of semigroups, obtain their properties and give the interrelations of them. Moreover, we characterize regular, intra-regular, completely regular, weakly regular and quasi-regular semigroups in terms of these ideals.
Kaynak
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTINGCilt
23Sayı
1.ŞubKoleksiyonlar
İlgili Öğeler
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
-
A completely new view to soft intersection rings via soft uni-int product
Sezgin, Aslihan; Cagman, Naim; Atagun, Akin Osman (ELSEVIER SCIENCE BV, 2017)In this paper, we make a completely new approach to the classical ring theory via soft set theory, with the concept of soft intersection rings, ideals, (generalized) bi-ideals, interior ideals and quasi-ideals. Particularly, ... -
Semigroups with Soft AC-Ideals
Ozlu, Serif; Sezgin, Aslihan (World Scientific Publ Co Pte Ltd, 2023)In this paper, we define the concepts of soft anti-covered semigroup, soft anti-covered left (right) ideal, soft anti-covered interior ideal, soft anti-covered (generalized) bi-ideal, soft anti-covered quasi-ideal of a ... -
Completely weakly, quasi-regular semigroups characterized by soft union Quasi ideals, (generalized) bi-ideals and semiprime ideals
Sezgin, Aslihan; Orbay, Keziban (Yildiz Technical Univ, 2023)In this paper, certain kinds of regularities of semigroups are studied by correlating soft set theory. Completely, weakly and quasiregular semigroups are characterized by soft union quasiideals, soft union (generalized) ...
