Polynomial extensions of quasi-Baer rings

被引：177
|
作者：
Hashemi, E
Moussavi, A
机构：
[1] Shahrood Univ Technol, Dept Math, Shahrood, Iran
[2] Univ Tarbiat Modarres, Dept Math, Tehran, Iran
来源：
ACTA MATHEMATICA HUNGARICA | 2005年 / 107卷 / 03期
关键词：
Baer rings; quasi-Baer rings; Armendariz rings; (alpha; delta)-compatible rings; skew polynomial rings;
D O I：
10.1007/s10474-005-0191-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a ring endomorphism a and an a-derivation 6, we introduce a-compatible rings which axe a generalization of a-rigid rings, and study on the relationship between the quasi Baerness and p.q.-Baer property of a ring R and those of the polynomial extensions (including formal skew power series, skew Laurent polynomials and skew Laurent series). As a consequence we obtain a generalization of [6], [8] and [16].
引用
收藏
页码：207 / 224
页数：18
相关论文
共 50 条
  • [1] Polynomial extensions of Baer and quasi-Baer rings
    Birkenmeier, GF
    Kim, JY
    Park, JK
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2001, 159 (01) : 25 - 42
  • [2] Polynomial extensions of quasi-Baer rings
    E. Hashemi
    A. Moussavi
    [J]. Acta Mathematica Hungarica, 2005, 107 : 207 - 224
  • [3] Polynomial extensions of generalized quasi-Baer rings
    S. Ghalandarzadeh
    H. S. Javadi
    M. Khoramdel
    [J]. Ukrainian Mathematical Journal, 2010, 62 : 804 - 808
  • [4] POLYNOMIAL EXTENSIONS OF GENERALIZED QUASI-BAER RINGS
    Ghalandarzadeh, S.
    Javadi, H. S.
    Khoramdel, M.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2010, 62 (05) : 804 - 808
  • [5] Skew polynomial rings over σ-quasi-Baer and σ-principally quasi-Baer rings
    Han, J
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (01) : 53 - 63
  • [6] Baer and quasi-Baer differential polynomial rings
    Nasr-Isfahani, A. R.
    Moussavi, A.
    [J]. COMMUNICATIONS IN ALGEBRA, 2008, 36 (09) : 3533 - 3542
  • [7] ORE EXTENSIONS OF QUASI-BAER RINGS
    Hong, Chan Yong
    Kim, Nam Kyun
    Lee, Yang
    [J]. COMMUNICATIONS IN ALGEBRA, 2009, 37 (06) : 2030 - 2039
  • [8] On ore extensions of quasi-Baer rings
    Nasr-Isfahani, A. R.
    Moussavi, A.
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2008, 7 (02) : 211 - 224
  • [9] Polynomial extensions of modules with the quasi-Baer property
    Dana, P. Amirzadeh
    Moussavi, A.
    [J]. JOURNAL OF ALGEBRA, 2020, 542 : 230 - 248
  • [10] ORE EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS
    Ben Yakoub, L'Moufadal
    Louzari, Mohamed
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2009, 13 (02): : 137 - 151
12345