斜幂级数诣-Armendariz 环

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 383-389.

斜幂级数诣-Armendariz 环

College of Mathematics and Statistics, Hexi University

收稿日期:2012-03-05 出版日期:2013-09-30 发布日期:2023-02-23
作者简介:ZHANG Wan-ru(1980-), male, native of Jinchang, Gansu, a lecturer of Hexi University, engages in rings theory.
基金资助:
Supported by the NNSF of China(10901133)； Supported by the Youth Foundation of Hexi University(QN2012-14)

On Skew Power-serieswise nil-Armendariz Rings

College of Mathematics and Statistics, Hexi University

Received:2012-03-05 Online:2013-09-30 Published:2023-02-23
About author:ZHANG Wan-ru(1980-), male, native of Jinchang, Gansu, a lecturer of Hexi University, engages in rings theory.
Supported by:
Supported by the NNSF of China(10901133)； Supported by the Youth Foundation of Hexi University(QN2012-14)

摘要/Abstract

摘要： For a ring endomorphismα,in this paper we introduce the notion of α-power-serieswise nil-Armendariz rings, which are a generalization of α-power-serieswise Armendariz rings. A number of properties of this generalization are established, and the extensions of α-power-serieswise nil-Armendariz rings are investigated. Which generalizes the corresponding results of nil-Armendariz rings and power-serieswise nil-Armendariz rings.

关键词: nil-Armendariz rings, skew power series ring, nilpotent elements

Abstract: For a ring endomorphismα,in this paper we introduce the notion of α-power-serieswise nil-Armendariz rings, which are a generalization of α-power-serieswise Armendariz rings. A number of properties of this generalization are established, and the extensions of α-power-serieswise nil-Armendariz rings are investigated. Which generalizes the corresponding results of nil-Armendariz rings and power-serieswise nil-Armendariz rings.

Key words: nil-Armendariz rings, skew power series ring, nilpotent elements

中图分类号:

O153.3

张万儒, 普昭年. 斜幂级数诣-Armendariz 环[J]. 数学季刊, 2013, 28(3): 383-389.

ZHANG Wan-ru, PU Zhao-nian. On Skew Power-serieswise nil-Armendariz Rings[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 383-389.

[1]	陈全国, 汤建钢. Hopf群余代数上的群扭曲张量双积[J]. 数学季刊, 2014, 29(2): 274-282.
[2]	赵利辉, 王彩虹. 乘子Hopf代数的广义交叉积与L-R smash积[J]. 数学季刊, 2014, 29(2): 283-291.
[3]	赵玉娥, 杜先能. 关于伪小内射模[J]. 数学季刊, 2013, 28(4): 532-538.
[4]	尚文亮. 关于强n-Corenstein投射模，内射模和平坦模的注记[J]. 数学季刊, 2012, 27(3): 389-396.
[5]	卢博. 环的Extensions扩张与余纯维数[J]. 数学季刊, 2012, 27(1): 128-132.
[6]	李云慧, 唐高华. 直积的零因子图[J]. 数学季刊, 2011, 26(4): 621-627.
[7]	段俊生, 郭爱平, 云文在. 坡上矩阵的逆与幂[J]. 数学季刊, 2011, 26(3): 383-387.
[8]	王秀丽, 周茂袁, 陈志寅. 拟主k-投射半模[J]. 数学季刊, 2011, 26(2): 213-216.
[9]	王勇, 张良云, 蔡之敏 . 模余代数的结构定理[J]. 数学季刊, 2011, 26(1): 85-92.
[10]	李云慧, 唐高华. 非交换环的基于理想的零因子图[J]. 数学季刊, 2011, 26(1): 125-130.
[11]	牛裕琪, 孟晓然, 袁俭. 推广的l*-模[J]. 数学季刊, 2010, 25(3): 390-398.
[12]	张力宏, 辛大伟. 相关于遗传挠理论的(Inco)投射模[J]. 数学季刊, 2009, 24(1): 81-86.
[13]	卫宗礼, 曲贺梅. 主理想环上子群G_r在线性群中的扩群[J]. 数学季刊, 2008, 23(4): 600-605.
[14]	范维丽, 王慧. 形式三角矩阵环的特殊性质[J]. 数学季刊, 2008, 23(4): 625-632.
[15]	王永忠, 刘瑞华. A><_TH上的辫子Monoidal范畴[J]. 数学季刊, 2008, 23(1): 120-126.