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Decomposition of Jordan Automorphisms of Strictly Upper Triangular Matrix Algebra Over Commutative Rings

โœ Scribed by Wang, Xing Tao

Book ID
121463122
Publisher
Taylor and Francis Group
Year
2007
Tongue
English
Weight
126 KB
Volume
35
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES

Decomposition of Jordan automorphisms of
Decomposition of Jordan automorphisms of strictly triangular matrix algebra over local rings
โœ Xing Tao Wang; Hong You ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

Let N n+1 (R) be the algebra of all strictly upper triangular n + 1 by n + 1 matrices over a 2-torsionfree commutative local ring R with identity. In this paper, we prove that any Jordan automorphism of N n+1 (R) can be uniquely written as a product of a graph automorphism, a diagonal automorphism,

Automorphisms of Certain Lie Algebras of
Automorphisms of Certain Lie Algebras of Upper Triangular Matrices over a Commutative Ring
โœ You'an Cao ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 187 KB

Let R be an arbitrary commutative ring with identity. Denote by t the Lie algebra over R consisting of all upper triangular n by n matrices over R and let b be the Lie subalgebra of t consisting of all matrices of trace 0. The aim of this paper is to give an explicit description of the automorphism