(m, n)-Ideals in Semigroups Based on Int-Soft Sets

G. Muhiuddin, Abdulaziz M. Alanazi and Sami Ullah Khan

Journal of Mathematics, 2021, vol. 2021, 1-10

Abstract: Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, and topological spaces. This provides sufficient motivation to researchers to review various concepts and results from the realm of abstract algebra in the broader framework of fuzzy setting. In this paper, we introduce the notions of int-soft m,n-ideals, int-soft m,0-ideals, and int-soft 0,n-ideals of semigroups by generalizing the concept of int-soft bi-ideals, int-soft right ideals, and int-soft left ideals in semigroups. In addition, some of the properties of int-soft m,n-ideal, int-soft m,0-ideal, and int-soft 0,n-ideal are studied. Also, characterizations of various types of semigroups such as m,n-regular semigroups, m,0-regular semigroups, and 0,n-regular semigroups in terms of their int-soft m,n-ideals, int-soft m,0-ideals, and int-soft 0,n-ideals are provided.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2021/5546596.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2021/5546596.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5546596

DOI: 10.1155/2021/5546596

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().