Endomorphism Rings are Centralizer Near-rings

Authors

  • Md Rezaul Islam Dhaka Cantonment Girls? Public School and College, Dhaka
  • Satrajit Kumar Saha Department of Mathematics, Jahangirnagar University, Savar, Dhaka

DOI:

https://doi.org/10.3329/ganit.v34i0.28554

Keywords:

Centralizer Near-ring, Semisimple Centralizer Near-ring, C(R, V) invariant

Abstract

For a finite ring R with identity and a finite unital R-module V the set C(R; V) = {f : V ->V : f(?v) = ?f(v) for all ? ? R, v ? V} is the centralizer near-ring determined by R and V. Rings R for witch C(R; V) is a ring for every R-module V, are characterized. Conditions are given under which C(R; V) is a semisimple centralizer near ring. Its shown that C(R; V) is a semisimple centralizer near ring then EndR(V) = C(R; V).

GANIT J. Bangladesh Math. Soc.Vol. 34 (2014) 57-61

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Author Biography

Md Rezaul Islam, Dhaka Cantonment Girls? Public School and College, Dhaka



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Published

2016-06-28

How to Cite

Islam, M. R., & Saha, S. K. (2016). Endomorphism Rings are Centralizer Near-rings. GANIT: Journal of Bangladesh Mathematical Society, 34, 57–61. https://doi.org/10.3329/ganit.v34i0.28554

Issue

Vol. 34 (2014)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)