Derivation Pairs on Rings and RNGs

Abstract We generalize a classical result about derivation pairs on function algebras. Specifically, we describe the forms of derivation pairs on rings and rngs (non-unital rings) which are not assumed to be commutative. The proofs are based on knowledge of the solutions of the sine addition formula on a semigroup. Examples are given to illustrate the results.

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Publication Details

Journal
Annales Mathematicae Silesianae
Published
2025-05-20
DOI
https://doi.org/10.2478/amsil-2025-0010
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

Derivation Pairs on Rings and RNGs

Bruce Ebanks
Annales Mathematicae Silesianae
Rings, Modules, and Algebras
article

Derivation Pairs on Rings and RNGs

Bruce Ebanks
article en

Abstract

Abstract We generalize a classical result about derivation pairs on function algebras. Specifically, we describe the forms of derivation pairs on rings and rngs (non-unital rings) which are not assumed to be commutative. The proofs are based on knowledge of the solutions of the sine addition formula on a semigroup. Examples are given to illustrate the results.

Annales Mathematicae SilesianaeVol. 39(2)
Mississippi State University (US)
Openalex Percentile: Top 83%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
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Derivation Pairs on Rings and RNGs — Bruce Ebanks · Annales Mathematicae Silesianae (2025) | TGRS Research Map | TGRS