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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 4

On Posner's second theorem in additively inverse semirings

Sara SHAFİQ
Muhammad ASLAM
Pages
996–1000
Publication Date
2019-08-08
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we generalize Posner's second theorem in additively inverse semirings.
📊
Key Findings & Data:In this paper, we generalize Posner's second theorem in additively inverse semirings.
💡
Conclusion & Impact:This can be regarded as the generalization of Posner's theorem in semirings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

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Cite This Article

SHAFİQ, S., ASLAM, M. (2019). On Posner's second theorem in additively inverse semirings. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 4, 996–1000. https://ajindex.com/articles/669346

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References (16)

  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.