KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 4

On Posner's second theorem in additively inverse semirings

Sara Shafiq0000-0001-8838-3875
Muhammad Aslam0000-0001-9429-625X
Sayfa
—
Yayın Tarihi
2019-08-08
DOI
—
🏛️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)

This can be regarded as the generalization of Posner's theorem in semirings.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we generalize Posner's second theorem in additively inverse semirings.
📊
Temel Bulgular & Veri:In this paper, we generalize Posner's second theorem in additively inverse semirings.
💡
Sonuç & Katkı:This can be regarded as the generalization of Posner's theorem in semirings.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:additively inverse semirings · prime semirings · derivations

Abstract

In this paper, we generalize Posner's second theorem in additively inverse semirings. This can be regarded as the generalization of Posner's theorem in semirings.

🔖

Bu Makaleye Atıf Yap

Shafiq, S., Aslam, M. (2019). On Posner's second theorem in additively inverse semirings. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 4. https://ajindex.com/articles/1402758

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. R. Awtar, Lie and Jordan Structure in Prime rings with derivations, Proc. Amer. Math. Soc. 41 (1), 67-74, 1973.
  2. H.J. Bandlet, M. Petrich, Subdirect products of rings and distrbutive lattics, Proc. Edin Math. Soc. 25, 135-171, 1982.
  3. J.S. Golan, The theory of semirings with applications in mathematics and theoretical computer science, John Wiley and Sons. Inc., New York, 1992.
  4. M.A. Javed and M. Aslam, Some Commutativity conditions in Prime MA-semirings, ARS Combinatoria 114, 373-384, 2014.
  5. M.A. Javed, M. Aslam and M. Hussain, On Condition (A2) of Bandlet and Petrich for inverse semirings, International Mathematical Forum 7, 2903-2914, 2012.
  6. P.H. Karvellas, Inversive semirings, J. Aust. Math. Soc. 18, 277-288, 1974.
  7. C.P. Lanski, Differential identities, Lie ideals, and Posner’s theorems, Pacific J. Math. 134 (2), 275-297, 1988.
  8. L. Oukhtite, Posner’s second theorem for Jordan ideals in Rings with involution, Expo. Math. 29, 415-419, 2011.
  9. L. Oukhtite, S. Salhi and L. Taoufiq, Commutativity conditions on Derivations and Lie ideals in σ-Prime Rings, Beiträge Algebra Geom. 51 (1), 275-282, 2010.
  10. E.C. Posner, Derivation in Prime Rings, Proc. Amer. Math. Soc. 8, 1093-1100, 1957.
  11. S. Sara and M. Aslam, Centralizers on semiprime MA semiring, Quasigroups Related Systems 24, 269-276, 2016.
  12. S. Sara and M. Aslam, On Lie ideals of Inverse semirings, accepted in Italian Journal of Pure and Applied Mathematics.
  13. S. Sara, M. Aslam and M.A. Javed, On Dependent elements and Free actions in Inverse semirings, International Mathematical Forum 11, 557 - 564, 2016.
  14. S. Sara, M. Aslam and M.A. Javed, On Centralizer of semiprime inverse semirings, Discuss. Math. Gen. Algebra Appl. 36, 71-84, 2016.
  15. S. Sara, M. Aslam and M.A. Javed, On Jordan Mappings of inverse semirings, Open Math. 15, 1123-1131, 2017.
  16. J. Vukman, Commuting and Centralizing Mappings in Prime Rings, Proc. Amer. Math. Soc. 109 (I), 47- 52, 1990.
  17. S. Sara, M. Aslam and M.A. Javed, On Centralizer of semiprime inverse semirings, Discuss. Math. Gen. Algebra Appl. 36, 71-84, 2016.