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On a ring property generalizing power-Armendariz and central Armendariz rings

정다운|김진아|김홍기|이양|이창익|남상복|서연숙|윤상조|류성주|성효진|차호준
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2015.09|한국수학논문집 (Korean Journal of Mathematics)|제23권 제3호|pp. 337-355|DOI http://dx.doi.org/10.11568/kjm.2015.23.3.337

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참고문헌

키워드

Armendariz ringcentral power-Armendariz ringcentral products of coefficients$K$-ring
주제분류수학

초록

We in this note consider a class of rings which is related to both power-Armendariz and central Armendariz rings, in the spirit of Armendariz and Kaplansky. We introduce central power-Armendariz as a generalization of them, and study the structure of central products of coefficients of zero-dividing polynomials. We also observe various sorts of examples to illuminate the relations between central power-Armendariz and related ring properties.

Abstract

We in this note consider a class of rings which is related to both power-Armendariz and central Armendariz rings, in the spirit of Armendariz and Kaplansky. We introduce central power-Armendariz as a generalization of them, and study the structure of central products of coefficients of zero-dividing polynomials. We also observe various sorts of examples to illuminate the relations between central power-Armendariz and related ring properties.

참고문헌 (27)

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