LIE PROPERTIES OF SYMMETRIC ELEMENTS UNDER ORIENTED INVOLUTIONS

被引：7

作者：

Castillo Gomez, John H. ^{[1
]}

Milies, Cesar Polcino ^{[2
]}

机构：

[1] Univ Narino, Dept Matemat & Estadist, San Juan De Pasto, Narino, Colombia

[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 12期

基金：

巴西圣保罗研究基金会;

关键词：

Involution; Lie n-Engel; Lie nilpotent; Symmetric elements; GROUP-RINGS;

D O I：

10.1080/00927872.2011.602165

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Lie nilpotency and Lie n-Engel properties of symmetric elements under oriented involutions. In some cases, the results obtained are similar to the ones in the case of the classical involution, but interesting new situations arise.

引用

页码：4404 / 4419

页数：16

共 14 条

[1]

[Anonymous], 1996, COURSE THEORY GROUPS

[2] Symmetric elements under oriented involutions in group rings [J].

Cristo, Osnel Broche ;

Milies, Cesar Polcino .

COMMUNICATIONS IN ALGEBRA, 2006, 34 (09) :3347-3356

[3] LIE NILPOTENCY OF GROUP-RINGS [J].

GIAMBRUNO, A ;

SEHGAL, SK .

COMMUNICATIONS IN ALGEBRA, 1993, 21 (11) :4253-4261

[4] Lie properties of symmetric elements in group rings [J].

Giambruno, A. ;

Milies, C. Polcino ;

Sehgal, Sudarshan K. .

JOURNAL OF ALGEBRA, 2009, 321 (03) :890-902

[5] A LIE PROPERTY IN GROUP-RINGS [J].

GIAMBRUNO, A ;

SEHGAL, SK .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 105 (02) :287-292

[6]

Herstein I.N., 1976, Chicago Lectures in Mathematics

[7] Lie properties of symmetric elements in group rings II [J].

Lee, Gregory T. ;

Sehgal, Sudarshan K. ;

Spinelli, Ernesto .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2009, 213 (06) :1173-1178

[8] Group rings whose symmetric elements are Lie nilpotent [J].

Lee, GT .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (11) :3153-3159

[9] The Lie n-Engel property in group rings [J].

Lee, GT .

COMMUNICATIONS IN ALGEBRA, 2000, 28 (02) :867-881

[10]

Novikov S. P., 1970, MATH USSR IZV, V4

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