The ℵ1-Categoricity of Strictly Upper Triangular Matrix Rings Over Algebraically Closed Fields
✍ Scribed by Bruce I. Rose
- Book ID
- 124185299
- Publisher
- Association for Symbolic Logic
- Year
- 1978
- Tongue
- English
- Weight
- 272 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2272823
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📜 SIMILAR VOLUMES
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,
Let \(R\) be a non-trivial commutative ring having no idempotents except 0 and 1 . Denote by \(t\) the Lie algebra over \(R\) consisting of all upper triangular \(n\) by \(n\) matrices over \(R\). We give an explicit description of the automorphism group of this Lie algebra. 1994 Academic Press, Inc