Research Article
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Year 2025, Early Access, 1 - 8
https://doi.org/10.24330/ieja.1577251

Abstract

References

  • S. Ali, N. A. Dar and M. Asci, On derivations and commutativity of prime rings with involution, Georgian Math. J., 23(1) (2016), 9-14.
  • S. Ali, N. A. Dar and A. N. Khan, On strong commutativity preserving like maps in rings with involution, Miskolc Math. Notes, 16(1) (2015), 17-24.
  • I. N. Herstein, A note on derivations, Canad. Math. Bull., 21(3) (1978), 369-370.
  • M. Hongan, A note on semiprime rings with derivation, Internat. J. Math. Math. Sci., 20(2) (1997), 413-415.
  • E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1957), 1093-1100.
  • B. Yood, On Banach algebras with a Jordan involution, Note Mat., 11 (1991), 331-333.

Commutativity criteria for prime and semi-prime rings with semi-involution

Year 2025, Early Access, 1 - 8
https://doi.org/10.24330/ieja.1577251

Abstract

In this article, we study the concept of semi-involution on rings, which in general, is neither a usual involution nor a Jordan involution. Furthermore, we describe the structure of rings that satisfy certain differential identities on rings with semi-involution.

References

  • S. Ali, N. A. Dar and M. Asci, On derivations and commutativity of prime rings with involution, Georgian Math. J., 23(1) (2016), 9-14.
  • S. Ali, N. A. Dar and A. N. Khan, On strong commutativity preserving like maps in rings with involution, Miskolc Math. Notes, 16(1) (2015), 17-24.
  • I. N. Herstein, A note on derivations, Canad. Math. Bull., 21(3) (1978), 369-370.
  • M. Hongan, A note on semiprime rings with derivation, Internat. J. Math. Math. Sci., 20(2) (1997), 413-415.
  • E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1957), 1093-1100.
  • B. Yood, On Banach algebras with a Jordan involution, Note Mat., 11 (1991), 331-333.
There are 6 citations in total.

Details

Primary Language English
Subjects Algebra and Number Theory
Journal Section Articles
Authors

Moulay Abdallah Idrissi

Early Pub Date November 1, 2024
Publication Date
Submission Date June 6, 2024
Acceptance Date September 29, 2024
Published in Issue Year 2025 Early Access

Cite

APA Idrissi, M. A. (2024). Commutativity criteria for prime and semi-prime rings with semi-involution. International Electronic Journal of Algebra1-8. https://doi.org/10.24330/ieja.1577251
AMA Idrissi MA. Commutativity criteria for prime and semi-prime rings with semi-involution. IEJA. Published online November 1, 2024:1-8. doi:10.24330/ieja.1577251
Chicago Idrissi, Moulay Abdallah. “Commutativity Criteria for Prime and Semi-Prime Rings With Semi-Involution”. International Electronic Journal of Algebra, November (November 2024), 1-8. https://doi.org/10.24330/ieja.1577251.
EndNote Idrissi MA (November 1, 2024) Commutativity criteria for prime and semi-prime rings with semi-involution. International Electronic Journal of Algebra 1–8.
IEEE M. A. Idrissi, “Commutativity criteria for prime and semi-prime rings with semi-involution”, IEJA, pp. 1–8, November 2024, doi: 10.24330/ieja.1577251.
ISNAD Idrissi, Moulay Abdallah. “Commutativity Criteria for Prime and Semi-Prime Rings With Semi-Involution”. International Electronic Journal of Algebra. November 2024. 1-8. https://doi.org/10.24330/ieja.1577251.
JAMA Idrissi MA. Commutativity criteria for prime and semi-prime rings with semi-involution. IEJA. 2024;:1–8.
MLA Idrissi, Moulay Abdallah. “Commutativity Criteria for Prime and Semi-Prime Rings With Semi-Involution”. International Electronic Journal of Algebra, 2024, pp. 1-8, doi:10.24330/ieja.1577251.
Vancouver Idrissi MA. Commutativity criteria for prime and semi-prime rings with semi-involution. IEJA. 2024:1-8.