The semicommutativity and symmetry of differential polynomial rings(微分多项式环的半交换性和对称性)

RENYanli(任艳丽); ZHANGJiulin(张玖琳); WANGYao(王尧)

doi:10.3785/j.issn.1008-9497.2016.05.001

Zhejiang Daxue xuebao. Lixue ban (Sep 2016)

The semicommutativity and symmetry of differential polynomial rings(微分多项式环的半交换性和对称性)

RENYanli(任艳丽),
ZHANGJiulin(张玖琳),
WANGYao(王尧)

Affiliations

RENYanli(任艳丽): ORCiD; 1.School of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, China( 1.南京晓庄学院数学与信息技术学院，江苏　南京　211171)
ZHANGJiulin(张玖琳): 2.School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China( 2.南京信息工程大学数学与统计学院，江苏　南京　210044)
WANGYao(王尧): 2.School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China( 2.南京信息工程大学数学与统计学院，江苏　南京　210044)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2016.05.001
Journal volume & issue: Vol. 43, no. 5
pp. 505 – 511

Abstract

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研究微分多项式环R[x;δ]和Ore扩张环R[x;α，δ]的广义半交换性质和广义对称性质，使用逐项分析方法证明了：设R是δ-Armendariz环，则R[x；δ]是诣零半交换环（弱半交换环、广义弱对称环、弱zip环、右弱McCoy 环）当且仅当R是诣零半交换环（弱半交换环、广义弱对称环、弱zip环、右弱McCoy环）；设R是弱2-素环和(α,δ)-条件环，则R[x；α，δ]是诣零半交换环（分别地，弱半交换环，广义弱对称环）.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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