Study of Uniqueness of identity and inverse element in group with Soft set as Ground set

This paper investigates the concept of identity and inverse elements within the framework of group theory, specially when the underlying set is defined using soft sets. We explore the implications of soft set theory on the properties of groups, particularly focusing on the uniqueness of identity and inverse elements.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-30
DOI
https://doi.org/10.5281/zenodo.15358446
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Study of Uniqueness of identity and inverse element in group with Soft set as Ground set

Zenodo (CERN European Organization for Nuclear Research)
Fuzzy and Soft Set Theory
article

Study of Uniqueness of identity and inverse element in group with Soft set as Ground set

article en

Abstract

This paper investigates the concept of identity and inverse elements within the framework of group theory, specially when the underlying set is defined using soft sets. We explore the implications of soft set theory on the properties of groups, particularly focusing on the uniqueness of identity and inverse elements.

Zenodo (CERN European Organization for Nuclear Research)
Lalit Narayan Mithila University (IN), Kameshwar Singh Darbhanga Sanskrit University (IN)
Openalex Percentile: Top 45%
Fuzzy and Soft Set Theory
DOIOpen Access PDFOpenAlex
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Study of Uniqueness of identity and inverse element in group with Soft set as Ground set · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS