Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups-Reference-Cited by-同舟云学术

Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups

Published:2014 Issue: Volume:2014 Page:1-11
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Jun Young Bae¹,Song Seok Zun²,Muhiuddin G.³^ORCID

Affiliation:

1. Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of Korea

2. Department of Mathematics, Jeju National University, Jeju 690-756, Republic of Korea

3. Department of Mathematics, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

Abstract

The notions of union-soft semigroups, union-softl-ideals, and union-softr-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-softl-ideal, and a union-softr-ideal are provided. The concepts of union-soft products and union-soft semiprime soft sets are introduced, and their properties related to union-softl-ideals and union-softr-ideals are investigated. Using the notions of union-softl-ideals and union-softr-ideals, conditions for an ordered semigroup to be regular are considered. The concepts of concave soft sets and critical soft points are introduced, and their properties are discussed.

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2014/467968.pdf

Reference15 articles.

1. Soft set theory—First results

2. Soft sets and soft rings

3. Soft sets and soft groups

4. Soft substructures of rings, fields and modules

5. Soft semirings

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