KaydedilenlerDerginizi ekleyin

Dergiler / 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
Sayfa
—
Yayın Tarihi
2021-06-07
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez: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 $S$.
📊
Temel Bulgular & Veri: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 $S$.
💡
Sonuç & Katkı: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 $S$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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 $S$.

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (18)

  1. Y. Ahmed and W.A. Dudek, Stronger Lie derivations on $MA$-semirings, Afrika Mat. 31 (5-6), 891-901, 2020.
  2. S. Ali, M. Ashraf, M.S. Khan and J. Vukman, Commutativity of rings involving additive mappings, Quaest. Math. 37 (2), 215-229, 2014.
  3. M. Ashraf and N.U. Rehmann, On Lie ideals and Jordan left derivations of prime rings, Arch. Math. (Brno) 36, 201-206, 2000.
  4. M. Ashraf and N.U. Rehmann, On commutativity of rings with derivations, Results Math. 42, 3-8, 2002.
  5. R. Awtar, Lie ideals and Jordan derivations of prime rings, Proc. Amer. Math. Soc. 90, 9-14, 1984.
  6. H.E. Bell and J. Lucier, On additive maps and commutativity in rings, Results Math. 36, 1-8, 1999.
  7. M. Brešar and J. Vukman, On left derivations and related mappings, Proc. Amer. Math. Soc., 110, 7-16, 1990.
  8. W.A. Dudek, M. Shabir and R. Anjum, Characterizations of hemirings by their hideals, Comput. Math. Appl. 59 (9), 3167-3179, 2010.
  9. K. Glazek, A Guide to Literature on Semirings and their Applications in Mathematics and Information Sciences with Complete Bibliography, Kluwer Acad. Publ., Dodrecht, 2002.
  10. J.S. Golan, Semirings and their Applications, Kluwer Acad. Publ. 1999.
  11. M.A. Javed, M. Aslam and M. Hussain, On condition $(A_{2})$ of Bandelt and Petrich for inverse semirings, Int. Math. Forum 7, 2903-2914, 2012.
  12. P.H. Karvellas, Inversive semirings, J. Austral. Math. Soc. 18, 277-288, 1974.
  13. M. Nadeem, M. Aslam, On the generalization of Brešar theorems, Quasigroups and Related Systems 24, 123-128, 2016.
  14. E.C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8, 1093-1100, 1957.
  15. S. Shafiq and M. Aslam, Centralizers on semiprime MA-semirings, Quasigroups and Related Systems 24, 269-276, 2016.
  16. S. Shafiq and M. Aslam, On Jordan mappings of inverse semirings, Open Math. 17, 1123-1131, 2017.
  17. J. Vukman, On left Jordan derivations of rings and Banach algebras, Aequationes Math. 75, 260-266 2008.
  18. J. Zhan and W.A. Dudek, Fuzzy h-ideals of hemirings, Inform. Sci. 177 (3), 876-886, 2007.