Analysis of semigroups with soft intersection ideals
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.
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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, ... -
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 ... -
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, ...
