Polynomial rings over symmetric rings need not be symmetric

被引：1

作者：

Wang, ZP ^{[1
]}

Wang, LM ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 03期

关键词：

polynomial ring; symmetric ring;

D O I：

10.1080/00927870500441981

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring with identity. The polynomial ring over R is denoted by R[x] with x its indeterminate. It is shown that polynomial rings over symmetric rings need not be symmetric by an example.

引用

页码：1043 / 1047

页数：5

共 50 条

[1] Polynomial rings over symmetric rings need not be symmetric
Wang, Zhanping
Wang, Limin
[J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (10) : 3609 - 3613
[2] Factorization of symmetric matrices over polynomial rings with involution
Zelisko V.R.
Kuchma M.I.
[J]. Journal of Mathematical Sciences, 1999, 96 (2) : 3017 - 3021
[3] LOCALLY POLYNOMIAL RINGS AND SYMMETRIC ALGEBRAS
SUSLIN, AA
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1977, 11 (03): : 472 - 484
[4] Symmetric codes over rings
Barbé, A
Von Haeseler, F
[J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2003, 17 (02) : 254 - 263
[5] Polynomial rings over nil rings need not be nil
Smoktunowicz, A
[J]. JOURNAL OF ALGEBRA, 2000, 233 (02) : 427 - 436
[6] POLYNOMIAL RINGS OVER NLI RINGS NEED NOT BE NLI
Chen, Weixing
[J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2015, 52 (01) : 129 - 133
[7] TAKIFF ALGEBRAS WITH POLYNOMIAL RINGS OF SYMMETRIC INVARIANTS
Panyushev, Dmitri, I
Yakimova, Oksana S.
[J]. TRANSFORMATION GROUPS, 2020, 25 (02) : 609 - 624
[8] Symmetric group fixed quotients of polynomial rings
Pevzner, Alexandra
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2024, 228 (04)
[9] TAKIFF ALGEBRAS WITH POLYNOMIAL RINGS OF SYMMETRIC INVARIANTS
DMITRI I. PANYUSHEV
OKSANA S. YAKIMOVA
[J]. Transformation Groups, 2020, 25 : 609 - 624
[10] Cubic and symmetric compositions over rings
Ottmar Loos
[J]. manuscripta mathematica, 2007, 124 : 195 - 236

← 1 2 3 4 5 →