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2011•Journal of Sichuan University of Science & EngineeringRequires access

Ore Extensions of Baer and p.p.-rings

Limei Wang

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Abstract

Two relation between the Armendarizness and the left right annihilator are gived,the corresponding result is extended to the(α,δ)-skew Armendariz ring,and the property of annihilator in(α,δ)-skew Armendariz rings is discussed.Because of its characteristics,the result about left annihilator is different from the right.Use one of the results,the Ore extensions of Baer and p.p.-rings are given under the new condition.

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What this paper is about

Two relation between the Armendarizness and the left right annihilator are gived,the corresponding result is extended to the(α,δ)-skew Armendariz ring,and the property of annihilator in(α,δ)-skew Armendariz rings is discussed.Because of its characteristics,the result about left annihilator is different from the right.Use one of the results,the Ore extensions of Baer and p.p.-rings are given under the new condition.

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Available abstract

Two relation between the Armendarizness and the left right annihilator are gived,the corresponding result is extended to the(α,δ)-skew Armendariz ring,and the property of annihilator in(α,δ)-skew Armendariz rings is discussed.Because of its characteristics,the result about left annihilator is different from the right.Use one of the results,the Ore extensions of Baer and p.p.-rings are given under the new condition.

Key concepts: Annihilator, Mathematics, Skew, Ring (chemistry), Property (philosophy), Pure mathematics, Algebra over a field, Chemistry

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