Commutativity of Hyperrings with Generalized Reverse Derivations

G. Basavaraju; C. Jaya Subba Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V72I5P106

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 72 | Issue 5 | Year 2026 | Article Id. IJMTT-V72I5P106 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I5P106

Commutativity of Hyperrings with Generalized Reverse Derivations

G. Basavaraju, C. Jaya Subba Reddy

Received	Revised	Accepted	Published
28 Mar 2026	30 Apr 2026	16 May 2026	29 May 2026

Citation :

G. Basavaraju, C. Jaya Subba Reddy, "Commutativity of Hyperrings with Generalized Reverse Derivations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 5, pp. 74-80, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I5P106

Abstract

In this paper, the notion of generalized reverse derivations on Krasner hyperrings is introduced, and investigated the commutativity of prime hyperrings. In particular, it establishes several results showing that under suitable conditions on generalized reverse derivations and their associated reverse derivations, a prime hyperring becomes commutative in some cases, reverse derivation 𝛿=0. The obtained results contribute to the development of derivation theory in algebraic hyperstructures and provide new insights into the structural properties of hyperrings.

Keywords

16Y20, 16W25, 20N20, Hyperrings, Hyperstructure.

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