强g(x)-诣零clean环

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英文篇名：Strongly g(x)-nil-clean rings 作者：陈怡宁 ; 秦龙 英文作者：CHEN Yi-ning;QIN Long;College of Mathematics and Statistic, Anhui Normal University; 关键词：强诣零clean环 ; 强g(x)-诣零clean环 ; 强g(x)-clean环 ; 强clean环 英文关键词：strongly nil-clean ring;;strongly g(x)-nil-clean ring;;strongly g(x)-clean ring;;strongly clean ring 中文刊名：SDDX 英文刊名：Journal of Shandong University(Natural Science) 机构：安徽师范大学数学与统计学院; 出版日期：2019-04-22 14:46 出版单位：山东大学学报(理学版) 年：2019 期：v.54 基金：国家自然科学基金青年科学基金项目(11401009);; 安徽省自然科学基金青年项目(1408085QA01);; 安徽省高校省级自然科学研究重点项目(KJ2014A082);; 安徽师范大学研究生科研创新与实践资助项目(2018kycx104) 语种：中文; 页：SDDX201906010 页数：6 CN：06 ISSN：37-1389/N 分类号：45-50

摘要

引入了强g(x)-诣零clean环的概念,讨论了几类强g(x)-clean环的关系,给出了这类环和强诣零clean环的一些等价刻画,研究了这类环的基本性质,进一步探究了几种特殊的强g(x)-诣零clean环的性质。
        The concepts of strongly g(x)-nil-clean rings are introduced. The relations of several classes of strongly g(x)-clean rings are discussed. Some equivalent characters of such rings and strongly nil-clean rings are given. Moreover, basic properties of such rings are investigated. Properties of several kinds of strongly g(x)-nil-clean rings are studied.

引文

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