Hybrid Interior Ideals in Ordered Semigroups

K. Porselvi (), B. Elavarasan and Y. B. Jun ()
Additional contact information
K. Porselvi: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641 114, India
B. Elavarasan: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641 114, India
Y. B. Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 01, 1-8

Abstract: We are fully aware that an ordered semigroup has a very close relation with theoretical computer science, especially with the theory of pattern recognition, decision processes, artificial intelligence, information retrieval and so on. We are eager to introduce the new concepts of hybrid interior ideals and hybrid simple in an ordered semigroup in this paper. We discuss characteristic hybrid structures using ideals and interior ideals, and characterize ordered semigroup in terms of different hybrid ideal structures. Further, we establish the equivalent condition for an ordered semigroup to be simple.

Keywords: Ordered semigroup; hybrid structure; hybrid ideal; hybrid interior ideal; hybrid simple (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005722500016
Access to full text is restricted to subscribers

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:wsi:nmncxx:v:18:y:2022:i:01:n:s1793005722500016

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005722500016

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().