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In this note, for a ring endomorphism $α$ and an $α$ -derivation $δ$ of a ring $R$ , the notion of weakened $(α, δ)$ -skew Armendariz rings is introduced as a generalization of $α$ -rigid rings and weak Armendariz rings. It is proved that $R$ is a weakened $(α, δ)$ -skew Armendariz ring if and only if $T_{n} (R)$ is weakened $(\bar{α}, \bar{δ})$ -skew Armendariz if and only if $R [x] / (x^{n})$ is weakened $(\bar{α}, \bar{δ})$ -skew Armendariz ring for any positive integer $n$ .

On weakly reversible rings.

Zhao, Liang, Yang, Gang (2007)

Acta Mathematica Universitatis Comenianae. New Series

Outer automorphisms of endomorphism algebras

Warren May (2006)

Colloquium Mathematicae

Commutative rings over which no endomorphism algebra has an outer automorphism are studied.

Displaying 21 – 27 of 27

On the Primitivity of Certain Ore Extensions.

On the Radicals of Structural Matrix Rings.

On the representation type of triangular matrix algebras over special algebras

On unit-regular ideals.

On weakened ( α , δ ) -skew Armendariz rings

On weakly reversible rings.

Outer automorphisms of endomorphism algebras

Currently displaying 21 – 27 of 27

On weakened $(α, δ)$ -skew Armendariz rings