Derivations of some classes of matrix rings

被引：5

作者：

Kuzucuoglu, Feride ^{[1
]}

Sayin, Umut ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2017年 / 16卷 / 02期

关键词：

Niltriangular matrix; derivation; UPPER-TRIANGULAR MATRICES; JORDAN DERIVATIONS; LIE-ALGEBRA; AUTOMORPHISMS;

D O I：

10.1142/S021949881750027X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let NTn(K) be the ring of all (lower) niltriangular n x n matrices over any associative ring K with identity and M-n(J) be the ring of all n x n matrices over an ideal J of K. We describe all derivations of the matrix ring R-n(K, J) = NTn(K) + M-n(J).

引用

页数：12

共 11 条

[1] Jordan derivations and antiderivations on triangular matrices [J].

Benkovic, D .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 397 :235-244

[2] Automorphisms of the Lie algebra of strictly upper triangular matrices over certain commutative rings [J].

Cao, Y .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 329 (1-3) :175-187

[3] Jordan derivations of some classes of matrix rings [J].

Ghosseiri, Nader M. .

TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (01) :51-62

[4]

Hungerford T.W., 1974, Algebra

[5]

Kargapolov M. I., 1979, FUNDAMENTALS THEORY

[6] The automorphism group of certain radical matrix rings [J].

Kuzucuoglu, F ;

Levchuk, VM .

JOURNAL OF ALGEBRA, 2001, 243 (02) :473-485

[7] Jordan Derivations on Strictly Triangular Matrix Rings [J].

Kuzucuoglu, Feride .

ALGEBRA COLLOQUIUM, 2011, 18 (03) :519-522

[8] DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS [J].

Levchuk, Vladimir M. ;

Radchenko, Oksana V. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2010, 9 (05) :717-724

[9]

LEVCHUK VM, 1983, SIBERIAN MATH J+, V24, P543

[10] Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring [J].

Ou, Shikun ;

Wang, Dengyin ;

Yao, Ruiping .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 424 (2-3) :378-383

← 1 2 →