ON (α, δ)-SKEW ARMENDARIZ RINGS

Title & Authors
ON (α, δ)-SKEW ARMENDARIZ RINGS
MOUSSAVI A.; HASHEMI E.;

Abstract
For a ring endomorphism $\small{\alpha}$ and an $\small{\alpha}$-derivation $\small{\delta}$, we introduce ($\small{\alpha}$, $\small{\delta}$)-skew Armendariz rings which are a generalization of $\small{\alpha}$-rigid rings and Armendariz rings, and investigate their properties. A semi prime left Goldie ring is $\small{\alpha}$-weak Armendariz if and only if it is $\small{\alpha}$-rigid. Moreover, we study on the relationship between the Baerness and p.p. property of a ring R and these of the skew polynomial ring R[x; $\small{\alpha}$, $\small{\delta}$] in case R is ($\small{\alpha}$, $\small{\delta}$)-skew Armendariz. As a consequence we obtain a generalization of [11], [14] and [16].
Keywords
Baer rings;right p.p.-rings;$\small{\alpha}$-rigid rings;($\small{\alpha}$,$\small{\delta}$)-Armendariz rings;
Language
English
Cited by
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2.
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3.
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7.
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10.
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11.
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