Yazar "Sezer, Aslihan Sezgin" için listeleme
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Applications of soft union sets to hemirings via SU-h-ideals
Zhan, Jianming; Cagman, Naim; Sezer, Aslihan Sezgin (IOS PRESS, 2014)The aim of this article is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of ... -
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 ... -
A new approach to LA-semigroup theory via the soft sets
Sezer, Aslihan Sezgin (IOS PRESS, 2014)In this paper, soft intersection LA-semigroups, soft intersection left (right, two-sided) ideals, (generalized) bi-ideals, interior ideals, quasi-ideals in LA-semigroups are defined, their examples and properties are given ... -
A new view to ring theory via soft union rings, ideals and bi-ideals
Sezer, Aslihan Sezgin (ELSEVIER SCIENCE BV, 2012)In this paper, by defining soft intersection-union product, we make a new approach to the classical ring theory via soft set theory, with the concept of soft union rings, ideals and bi-ideals. Moreover, we characterize ... -
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 Semigroups, Ideals and Bi-Ideals; a New Application on Semigroup Theory I
Sezer, Aslihan Sezgin; Cagman, Naim; Atagun, Akin Osman; Ali, Muhammed Irfan; Turkmen, Ergul (UNIV NIS, FAC SCI MATH, 2015)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, ...