A completely new view to soft intersection rings via soft uni-int product
Özet
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, we define soft union-intersection product and obtain the relationship between this new concept and soft intersection ring and its different ideals. Moreover, we characterize regular, regular duo, intra-regular and strongly regular rings by soft intersection rings and ideals. (C) 2016 Elsevier B.V. All rights reserved.
Kaynak
APPLIED SOFT COMPUTINGCilt
54Koleksiyonlar
İlgili Öğeler
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
-
Soft Intersection Interior Ideals, Quasi-ideals and Generalized Bi-Ideals; A New Approach to Semigroup Theory II
Sezer, Aslihan Sezgin; Cagman, Naim; Atagun, Akin Osman (OLD CITY PUBLISHING INC, 2014)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, ... -
Soft intersection interior ideals, quasi-ideals and generalized bi-ideals; A new approach to semigroup theory II
Sezer A.S.; Ça?man N.; Atagün A.O. (Old City Publishing, 2014)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, ... -
Certain characterizations of LA-semigroups by soft sets
Sezer, Aslihan Sezgin (IOS PRESS, 2014)In this paper, a new approach to LA-semigroup theory is proposed by obtaining significant characterizations of regular, intra-regular, completely regular, weakly regular and quasi-regular LA-semigroups via soft intersection ...
