SOLVABILITY OF A COMMUTATIVE ALGEBRA WHICH SATISFIES (x2)2=0

被引：3

作者：

Guzzo, H., Jr. ^{[1
]}

Behn, A. ^{[2
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, BR-05315970 Sao Paulo, Brazil

[2] Univ Chile, Dept Matemat, Santiago, Chile

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 01期

关键词：

Commutative algebra; Solvability;

D O I：

10.1080/00927872.2012.716118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We studied the solvability of the algebra which satisfies the polynomial identity (x(2))(2)=0. We believe that, if A is a finite dimensional commutative algebra over a field F of characteristic not 2 which satisfies (x(2))(2)=0 for all xA, then A is solvable. In this article we proved this when dim(F) A <= 7.

引用

页码：417 / 422

页数：6

共 50 条

[11] Positive linear operators which preserve x2
J. P. King
Acta Mathematica Hungarica, 2003, 99 : 203 - 208
[12] 2 COMMUTATIVE ALGEBRA THEOREMS
SEYDI, H
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 271 (22): : 1105 - &
[13] 构造x2≤0解赛题
赵平
中学数学, 2009, (04) : 48 - 48
[14] Line lists for the X2Σ+-X2Σ+, A2Π-A2Π and A2Π-X2Σ+transitions of CP
Qin, Zhi
Bai, Tianrui
Liu, Linhua
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2021, 258
[15] LIF thermometry in sooty flames using NO D2Σ+ ← X2Π(0,1) and OH A2Σ+ ← X2Π(3,0) bands
Hayashida, K
Amagai, K
Arai, M
ENERGY, 2005, 30 (2-4) : 497 - 508
[16] Lie solvability and the identity [x1, y1] [x2, y2] . . . [xq, yq]=0 in certain matrix algebras
van Wyk, Leon
Ziembowski, Michal
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 533 : 235 - 257
[17] On a linearization of the recursion U(x0, x1, x2, ...) = φ(x0, U(x1, x2, ...)) and its application in economics
Zdun, Marek Cezary
AEQUATIONES MATHEMATICAE, 2020, 94 (04) : 777 - 791
[18] Solvability of a 2 x 2 Block Operator Matrix of Chandrasekhar Type on a Bananch Algebra
Hashem, H. H. G.
FILOMAT, 2017, 31 (16) : 5169 - 5175
[19] 'X2'
Newman, K
SIGHT AND SOUND, 2003, 13 (06): : 59 - 60
[20] Laser spectroscopy of the B2Σ+-X2Σ+ (0,0) band of ZrN
Chen, HB
Li, YF
Mok, DKW
Cheung, ASC
JOURNAL OF MOLECULAR SPECTROSCOPY, 2003, 218 (02) : 213 - 219

← 1 2 3 4 5 →