Indian Journal of Science and Technology
Year: 2023, Volume: 16, Issue: 31, Pages: 2441-2446
Tilak Raj Sharma1*, Ritu Sharma2
1Department of Mathematics, Himachal Pradesh University, Regional Centre, Khaniyara Dharamshala, 176218, Himachal Pradesh, India
2Department of Mathematics, Government College Mandi, Himachal Pradesh, India
Email: [email protected]
Received Date:01 June 2023, Accepted Date:01 June 2023, Published Date:18 August 2023
Objectives: The main objective of this article is to introduce some fundamental results of fuzzy ideals and Prime fuzzy ideals of a G semiring R . Methods: We use some fundamental results of fuzzy ideals and conditions like semi subtractive, centreless etc. for developments of the main results. Findings: In this connection, we establish some important results of fuzzy ideals and prime fuzzy ideals of semirings to G semirings. Novelty: We find a special class of fuzzy ideals of a G semiring R and with this, construct a lattice ordered G semiring. Further, we find that a fuzzy ideal of G semiring R can be a decreasing map from [0, 1] into the set of R together with an empty set. As an application of this result, the prime fuzzy ideals of a Gsemiring R are described in terms of prime ideals of a G semiring R.
Keywords: Fuzzy Ideals; Prime Ideals; Prime Fuzzy Ideals; Lattice Ordered G- Semiring; Strong Ideal
© 2023 Sharma & Sharma. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)
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