On Algebraic Attributes of X-Fuzzy Subring, Normal Subring and Ideal

Authors

  • M. Premkumar Department of Mathematics, Sathyabama Institute of Science and Technology (Deemed To Be University) Chennai-600119, Tamilnadu, India. https://orcid.org/0000-0002-8637-063X
  • A. Prasanna Department of Mathematics, Jamal Mohamed College (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamilnadu, India. https://orcid.org/0000-0002-1827-7687
  • S. Ismail Mohideen Department of Mathematics, Jamal Mohamed College (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamilnadu, India. https://orcid.org/0000-0003-3443-9129

DOI:

https://doi.org/10.9734/bpi/rhmcs/v1/3271A

Keywords:

Fuzzy Set (FS), Fuzzy Subring (FSR), Fuzzy Normal Subring (FNSR), X-Fuzzy Subring (X-FSR), X-Fuzzy Normal Subring (X-FNSR), Fuzzy Ideal (FI), X-Fuzzy Ideal (X-FI)

Abstract

This paper defines and discusses the basic algebraic properties of the -Fuzzy Subring, Normal Subring, and Ideal. It also explains the homomorphic behaviour of these objects and describes the behaviour of their inverse images. There have been discovered a number of algebraic structures related to the results.

Published

2022-09-16

How to Cite

M. Premkumar, A. Prasanna, & S. Ismail Mohideen. (2022). On Algebraic Attributes of X-Fuzzy Subring, Normal Subring and Ideal. Research Highlights in Mathematics and Computer Science Vol. 1, 29–43. https://doi.org/10.9734/bpi/rhmcs/v1/3271A

Issue

Research Highlights in Mathematics and Computer Science Vol. 1

Section

Chapters