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Toplam kayıt 10, listelenen: 1-10
A completely new view to soft intersection rings via soft uni-int product
(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, ...
Union soft substructures of near-rings and N-groups
(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 ...
Soft intersection near-rings with its applications
(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, ...
A NOTE ON SOFT NEAR-RINGS AND IDEALISTIC SOFT NEAR-RINGS
(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 ...
A New View on AG-Groupoid Theory via Soft Sets for Uncertainty Modeling
(UNIV NIS, FAC SCI MATH, 2018)
In this paper, the concepts soft union AG-groupoids, soft union left (right, two-sided) ideals, (generalized) bi-ideals, interior and quasi-ideals in AG-groupoids are introduced with many illustrating examples and their ...
Soft Union Interior Ideals, Quasi-Ideals and Generalized Bi-Ideals of Rings
(UNIV NIS, FAC SCI MATH, 2018)
In this paper, soft union interior ideals, quasi-ideals and generalized bi-ideals of rings are defined and their properties are obtained and the interrelations of them are given. Moreover regular, regular duo, intra-regular ...
LATTICE ORDERED SOFT NEAR RINGS
(KANGWON-KYUNGKI MATHEMATICAL SOC, 2018)
Keeping in view the expediency of soft sets in algebraic structures and as a mathematical approach to vagueness, in this paper the concept of lattice ordered soft near rings is introduced. Different properties of lattice ...
On Near-Rings with Soft Union Ideals and Applications
(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 ...
More on Prime, Maximal and Principal Soft Ideals of Soft Rings
(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. ...
Semigroups with Soft AC-Ideals
(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 ...