Yazar "Atagun, Akin Osman" için listeleme
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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, ... -
More on Prime, Maximal and Principal Soft Ideals of Soft Rings
Atagun, Akin Osman; Sezgin, Aslihan (World Scientific Publ Co Pte Ltd, 2022)In this paper, we aim to extend the studies [M. R.. Alimoradi, R.. Rezaei and M. Rahimi, Some notes on ideals in soft rings, Journal Australian Journal of Basic and Applied Sciences 6(3) (2012) 717-721; F. Koyuncu and B. ... -
A NOTE ON SOFT NEAR-RINGS AND IDEALISTIC SOFT NEAR-RINGS
Sezgin, Aslihan; Atagun, Akin Osman; Aygun, Emin (UNIV NIS, FAC SCI MATH, 2011)Molodtsov introduced the theory of soft sets, which can be seen as an effective mathematical tool to deal with uncertainties, since it is free from the difficulties that the usual theoretical approaches have troubled. In ... -
On Near-Rings with Soft Union Ideals and Applications
Sezgin, Aslihan; Atagun, Akin Osman; Cagman, Naim; Demir, Huseyin (World Scientific Publ Co Pte Ltd, 2022)In this paper, we define soft union near-ring on a soft set by using soft sets, inclusion relation and union of sets. This new notion functions as a bridge among soft set theory, set theory and near-ring theory. We then ... -
On operations of soft sets
Sezgin, Aslihan; Atagun, Akin Osman (PERGAMON-ELSEVIER SCIENCE LTD, 2011)Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we prove that certain De Morgan's law hold in soft set theory with respect to ... -
P-properties in Near-rings
Atagun, Akin Osman; Kamaci, Huseyin; Tastekin, Ismail; Sezgin, Aslihan (INST TEKNOLOGI BANDUNG, 2019)In this paper, assuming that N is a near-ring and P is an ideal of N, the P-center of N, the P-center of an element in N, the P-identities of N are defined. Their properties and relations are investigated. It is shown that ... -
Soft groups and normalistic soft groups
Sezgin, Aslihan; Atagun, Akin Osman (PERGAMON-ELSEVIER SCIENCE LTD, 2011)Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we correct some of the problematic cases in a previous paper by Aktas and Cagman ... -
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 near-rings with its applications
Sezgin, Aslihan; Atagun, Akin Osman; Cagman, Naim (SPRINGER, 2012)In this paper, we first define soft intersection near-ring (soft int near-ring) by using intersection operation of sets. This new notion can be regarded as a bridge among soft set theory, set theory and near-ring theory, ... -
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, ... -
Soft substructures of rings, fields and modules
Atagun, Akin Osman; Sezgin, Aslihan (PERGAMON-ELSEVIER SCIENCE LTD, 2011)tool to deal with uncertainties. In this paper, we introduce and study soft subrings and soft ideals of a ring by using Molodtsov's definition of the soft sets. Moreover, we introduce soft Soft set theory, proposed by ... -
Union soft substructures of near-rings and N-groups
Sezgin, Aslihan; Atagun, Akin Osman; Cagman, Naim (SPRINGER, 2012)In this paper, we introduce union soft subnear-rings and union soft ideals of a near-ring and union soft N-subgroups and union soft N-ideals of an N-group by using Molodtsov's definition of soft sets and investigate their ...