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The group of commutativity preserving maps on upper triangular matrices over a commutative ring

✍ Scribed by Wang, Dengyin; Zhu, Min; Lv, Wenping

Book ID
118167590
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
131 KB
Volume
61
Category
Article
ISSN
0308-1087

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πŸ“œ SIMILAR VOLUMES

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✍ You'an Cao πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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

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✍ D.Z. Dokovic πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 276 KB

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