Derivation Pairs on Rings and RNGs
Bruce Ebanks
Department of Mathematics and Statistics, Mississippi State UniversityUSA
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20 may 2025
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Publicado en línea: 20 may 2025
Páginas: 269 - 280
Recibido: 18 ago 2024
Aceptado: 25 abr 2025
DOI: https://doi.org/10.2478/amsil-2025-0010
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© 2025 Bruce Ebanks, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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.