QUASI-ARMENDARIZ PROPERTY ON POWERS OF COEFFICIENTS | Zendy

Tai Keun Kwak | Zendy; Min Jung Lee | Zendy; Yang Lee | Zendy

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QUASI-ARMENDARIZ PROPERTY ON POWERS OF COEFFICIENTS

Author(s) -

Tai Keun Kwak,

Min Jung Lee,

Yang Lee

Publication year - 2014

Publication title -

international electronic journal of algebra

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.268

H-Index - 5

ISSN - 1306-6048

DOI - 10.24330/ieja.266248

Subject(s) - polynomial ring , mathematics , property (philosophy) , generalization , von neumann regular ring , ring (chemistry) , pure mathematics , noncommutative ring , polynomial , mathematical analysis , philosophy , chemistry , organic chemistry , epistemology

The study of Armendariz rings was initiated by Rege and Chhawchharia, based on a result of Armendariz related to the structure of reduced rings. Armendariz rings were generalized to quasi-Armendariz rings by Hirano. We introduce the concept of power-quasi-Armendariz (simply, p.q.- Armendariz) ring as a generalization of quasi-Armendariz, applying the role of quasi-Armendariz on the powers of coefficients of zero-dividing polynomials. In the process we investigate the power-quasi-Armendariz property of several ring extensions, e.g., matrix rings and polynomial rings, which have roles in ring theory.

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