On skew Armendariz rings

被引：126

作者：

Hong, CY ^{[1
]}

Kim, NK

Kwak, TK

机构：

[1] Kyung Hee Univ, Dept Math, Seoul 131701, South Korea

[2] Kyung Hee Univ, Res Inst Basic Sci, Seoul 131701, South Korea

[3] Hanbat Natl Univ, Div Gen Educ, Taejon, South Korea

[4] Daejin Univ, Dept Math, Pocheon, South Korea

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 01期

关键词：

Armendariz rings; skew polynomial rings; rigid rings; Baer rings; p.p.-rings;

D O I：

10.1081/AGB-120016752

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a ring endomorphism alpha, we introduce alpha-skew Armendariz rings which are a generalization of alpha-rigid rings and Armendariz rings, and investigate their properties. Moreover, we study on the relationship between the Baerness and p.p.-property of a ring R and these of the skew polynomial ring R[x; alpha] in case R is alpha-skew Armendariz.

引用

页码：103 / 122

页数：20

共 9 条

[1] Armendariz rings and Gaussian rings
Anderson, DD
Camillo, V
[J]. COMMUNICATIONS IN ALGEBRA, 1998, 26 (07) : 2265 - 2272
[2] Armendariz E.P., 1974, J AUSTR MATH SOC, V18, P470
[3] Goodearl K. R., 1989, INTRO NONCOMMUTATIVE
[4] Hirano Y, 1999, PUBL MATH-DEBRECEN, V54, P489
[5] Ore extensions of Baer and p.p.-rings
Hong, CY
Kim, NK
Kwak, TK
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2000, 151 (03) : 215 - 226
[6] Kaplansky I., 1968, RINGS OPERATORS
[7] Armendariz rings and reduced rings
Kim, NK
Lee, Y
[J]. JOURNAL OF ALGEBRA, 2000, 223 (02) : 477 - 488
[8] Krempa J., 1996, ALGEBRA C, V3, P289
[9] Armendariz rings
Rege, MB
Chhawchharia, S
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1997, 73 (01) : 14 - 17

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