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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 3

Left Jordan derivations on certain semirings

Yaqoub Ahmed(G.C. University)0000-0001-9033-0916
Wieslaw Dudek(Wroclaw University of Science and Technology)0000-0001-8919-7249
Pages
—
Publication Date
2021-06-07
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⚡ TL;DR(Too Long; Didn't Read)

We determine conditions under which a left Jordan derivation defined on an $MA$-semiring $S$ is a left derivation on this semiring and prove when a left Jordan derivation on $S$ implies the commutativity of $S$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We determine conditions under which a left Jordan derivation defined on an $MA$-semiring $S$ is a left derivation on this semiring and prove when a left Jordan derivation on $S$ implies the commutativity of $S$.
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Key Findings & Data:We determine conditions under which a left Jordan derivation defined on an $MA$-semiring $S$ is a left derivation on this semiring and prove when a left Jordan derivation on $S$ implies the commutativity of $S$.
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Conclusion & Impact:We determine conditions under which a left Jordan derivation defined on an $MA$-semiring $S$ is a left derivation on this semiring and prove when a left Jordan derivation on $S$ implies the commutativity of $S$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Left derivation · Jordan derivation · inverse semiring

Abstract

We determine conditions under which a left Jordan derivation defined on an $MA$-semiring $S$ is a left derivation on this semiring and prove when a left Jordan derivation on $S$ implies the commutativity of $S$.

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Cite This Article

Ahmed, Y., Dudek, W. (2021). Left Jordan derivations on certain semirings. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 3. https://doi.org/10.15672/hujms.491343

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