A Note on Skew Generalized Power Serieswise Reversible Property

Ali, Eltiyeb

doi:10.28924/2291-8639-21-2023-69

Research Article

A Note on Skew Generalized Power Serieswise Reversible Property

Eltiyeb Ali¹

a:1:{s:5:"en_US";s:18:"NAJRAN University ";}

Abstract

The aim of this paper is to introduce and study (S, ω)-nil-reversible rings wherein we call a ring R is (S, ω)-nil-reversible if the left and right annihilators of every nilpotent element of R are equal. The researcher obtains various necessary or sufficient conditions for (S, ω)-nil-reversible rings are abelian, 2-primal, (S, ω)-nil-semicommutative and (S, ω)-nil-Armendariz. Also, he proved that, if R is completely (S, ω)-compatible (S, ω)-nil-reversible and J an ideal consisting of nilpotent elements of bounded index ≤ n in R, then R/J is (S, ¯ω)-nil-reversible. Moreover, other standard rings-theoretic properties are given.

How to Cite

E. Ali, A Note on Skew Generalized Power Serieswise Reversible Property, Int. J. Anal. Appl. 21 (2023), 69. https://doi.org/10.28924/2291-8639-21-2023-69

BibTeX

@article{Ali2023,
  author  = {Ali, Eltiyeb},
  title   = {A Note on Skew Generalized Power Serieswise Reversible Property},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {69},
  doi     = {10.28924/2291-8639-21-2023-69}
}

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