On σ-derivations of Krasner hyperrings

We present a significant extension of the derivation concept to Krasner hyperrings, namely the σ-derivation, which is defined utilizing a self-mapping σ on the hyperring R. We investigate several important properties of these σ-derivations and explore their behavior in prime Krasner hyperrings. Furthermore, we establish conditions under which a Krasner hyperring becomes commutative.

Authors

Institutions

Publication Details

Journal
Gulf Journal of Mathematics
Published
2025-04-20
DOI
https://doi.org/10.56947/gjom.v19i2.2697
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On σ-derivations of Krasner hyperrings

Katthaleeya Daowsud, Utsanee Leerawat, Jirat Sanguansat
1 links
Gulf Journal of Mathematics
Fuzzy and Soft Set Theory
article

On σ-derivations of Krasner hyperrings

Katthaleeya Daowsud, Utsanee Leerawat, Jirat Sanguansat
article en

Abstract

We present a significant extension of the derivation concept to Krasner hyperrings, namely the σ-derivation, which is defined utilizing a self-mapping σ on the hyperring R. We investigate several important properties of these σ-derivations and explore their behavior in prime Krasner hyperrings. Furthermore, we establish conditions under which a Krasner hyperring becomes commutative.

Gulf Journal of MathematicsVol. 19(2)
Kasetsart University (TH)
Kasetsart University
Openalex Percentile: Top 91%
Fuzzy and Soft Set Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.