A hybrid structure is a mapping defined by integrating soft set and fuzzy set. Therefore, the concept of structures an abstraction sets sets. As result, we can apply (resp., fuzzy) ideals in ordered semigroups to settings. In present paper, introduce notion n-interior id="M2"> id="m...

We investigate ideals in a polynomial ring which are generated by powers of linear forms. Such ideals are closely related to the theories of fat point ideals, Cox rings, and box splines. We pay special attention to a family of power ideals that arises naturally from a hyperplane arrangement A. We prove that their Hilbert series are determined by the combinatorics of A, and can be computed from ...

The purpose of this paper is to study soft sets and soft topological spaces. We also introduce the concepts of soft interior point, soft interior, soft neighborhood, soft continuity and soft compactness. The relationships between soft topology and fuzzy topology are also provided. Also, some basic properties of these concepts are explored. 2010 AMS Classification: 06D72, 54A40

The purpose of this paper is the study of algebraic properties of soft sets in BCC-algebras. In this regards we introduce and study soft ideals and idealistic soft BCC-algebras.

The first step towards near-rings was an axiomatic research done by Dickson in 1905. In 1936, it was Zassenhaus who used the name near-ring. Many parts of the well established theory of rings are transferred to near-rings and new specific features of near-rings have been discovered. To deal with the idea of near-rings using ternary product Warud Nakkhasen and Bundit Pibaljommee have applied the...

In this paper the concept of fuzzy characteristic interior ideals in partially ordered Γ-semigroups(Po-Γ-semigroups) has been introduced. It is observed that it satisfies level subset criterion and characteristic function criterion. Mathematics Subject Classification: 08A72, 3F55, 20M12

Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft normed rings by soft set theory. The notions of soft normed rings, soft normed ideals, soft complete normed rings are introduced and also several related properties and examples are given.

In this paper, the notation of interior KU-algebra and some related definitions are introduced. Various characterisations for have been proved. The concept positive implicative prove results regarding also presented. addition, KU-ideals several properties these ideals

This article’s main goal is to investigate the concept of multi-polar fuzzy sets (MPF-sets) in LA-semi-groups, which an extension bi-polar (BPF-sets) LA-semigroups. The objective this research extend certain significant BPF-set results MPF-sets results. article introduces concepts sub LA-semigroups, quasi-ideals, bi-ideals, generalized and interior ideals also discusses a number fundamental asp...

Using the notion of a fuzzy point and its belongness to and quasicoincidence with a fuzzy subset, some new concepts of a fuzzy interior ideal in Abel Grassmann’s groupoids S are introduced and their interrelations and related properties are invesitigated. We also introduce the notion of a strongly belongness and strongly quasicoincidence of a fuzzy point with a fuzzy subset and characterize fuz...