Characterization of prime rings having involution and centralizers

Authors

  • Nadeem Ahmad Dar Government HSS.
  • Adnan Abbasi Madanapalle Institute of Technology & Science.
  • Claus Haetinger Universidade Federal do Rio Grande.
  • Arshad Madni Aligarh Muslim University.
  • Muzibur Rahman Mozumder Aligarh Muslim University.

DOI:

https://doi.org/10.22199/issn.0717-6279-5897

Keywords:

prime ring, left centralizer, involution

Abstract

The major goal of this paper is to study the commutativity of prime rings with involution that meet specific identities using left centralizers. The results obtained in this paper are the generalization of many known theorems. Finally, we provide some examples to show that the conditions imposed in the hypothesis of our results are not superfluous.

Author Biographies

Adnan Abbasi, Madanapalle Institute of Technology & Science.

Department of Mathematics.

Claus Haetinger, Universidade Federal do Rio Grande.

Instituto de Matemática, Estatística e Física.

Arshad Madni, Aligarh Muslim University.

Department of Mathematics.

Muzibur Rahman Mozumder, Aligarh Muslim University.

Department of Mathematics.

References

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Published

2023-09-13

How to Cite

[1]
N. A. Dar, A. . Abbasi, C. . Haetinger, A. . Madni, and M. R. Mozumder, “Characterization of prime rings having involution and centralizers”, Proyecciones (Antofagasta, On line), vol. 42, no. 5, pp. 1271-1287, Sep. 2023.

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