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Currently displaying 1 – 3 of 3

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On decompositions of d. g. seminear-rings.

Samman, Mohammad — 2003

Mathematica Pannonica

Free actions on semiprime rings

Muhammad Anwar Chaudhry; Mohammad S. Samman — 2008

Mathematica Bohemica

We identify some situations where mappings related to left centralizers, derivations and generalized $(α, β)$ -derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation $T$ , of a semiprime ring $R$ the mapping $ψ R \to R$ defined by $ψ (x) = T (x) x - x T (x)$ for all $x \in R$ is a free action. We also show that for a generalized $(α, β)$ -derivation $F$ of a semiprime ring $R,$ with associated $(α, β)$ -derivation $d,$ a dependent element $a$ of $F$ is also a dependent element of $α + d .$ Furthermore, we prove that for a centralizer $f$ and...

On commutativity of rings with constraints on subsets

H. A. S. Abujabal; M. A. Khan; M. S. Khan; Mohammad S. Samman — 1993

Czechoslovak Mathematical Journal

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