ON CENTRALIZERS OF MA-SEMIRINGS

Authors:

Yaqoub Ahmed,M. Nadeem,M. Aslam,

DOI NO:

https://doi.org/10.26782/jmcms.2020.04.00005

Keywords:

Semirings,centralizers ,α– centralizer.,

Abstract

 An additive mapping γ : S → S is  α − centralizer, if γ(xy) = γ(x)α(y) where α is an endomorphism on S, holds  for all x, y S. In this article, we discuss some functional identities on additive mapping γ : S → S  on a semiring S, which makes it α-centralizer. Further, we investigate some conditions on α – centralizers which enforces commutativity in semirings.  

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