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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Cohomology theory for fuzzy bornological groups

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pp. 1127–1131Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2292XML
Received:
01 May 2025
Published Online:
27 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2292
Pages:
1127–1131

Abstract

This work satisfies cohomology theory within the framework of fuzzy bornological groups. The primary objective is to establish a robust formalization of cohomology for these fuzzy groups and to extend the fundamental properties of classical cohomology to the fuzzy group setting. To achieve this, we construct a cohomology theory for a fuzzy bornological group (G ̃,δ ̃) and a fuzzy bornological G ̃-modules (M ̃  ,δ ̃), by utilizing the concept of fuzzy bounded cochains.

Keywords

Subject Classifications

55N3554A40

References

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