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Jordan isomorphisms of upper triangular matrix rings

✍ Scribed by Cheng-Kai Liu; Wan-Yu Tsai


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
114 KB
Volume
426
Category
Article
ISSN
0024-3795

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Decomposition of Jordan automorphisms of
✍ Xing Tao Wang; Hong You πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 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,