Jordan isomorphisms of upper triangular matrix rings

Cheng Kai Liu; Wan Yu Tsai

doi:10.1016/j.laa.2007.04.006

Jordan isomorphisms of upper triangular matrix rings

Cheng Kai Liu
, Wan Yu Tsai

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Let R be a 2-torsionfree ring with identity 1 and let T_n (R), n ≥ 2, be the ring of all upper triangular n × n matrices over R. We describe additive Jordan isomorphisms of T_n (R) onto an arbitrary ring and generalize several results on this line.

Original language	English
Pages (from-to)	143-148
Number of pages	6
Journal	Linear Algebra and Its Applications
Volume	426
Issue number	1
DOIs	https://doi.org/10.1016/j.laa.2007.04.006
State	Published - 1 Oct 2007

Keywords

Jordan isomorphism
Upper triangular matrix ring

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10.1016/j.laa.2007.04.006

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title = "Jordan isomorphisms of upper triangular matrix rings",

abstract = "Let R be a 2-torsionfree ring with identity 1 and let Tn (R), n ≥ 2, be the ring of all upper triangular n × n matrices over R. We describe additive Jordan isomorphisms of Tn (R) onto an arbitrary ring and generalize several results on this line.",

keywords = "Jordan isomorphism, Upper triangular matrix ring",

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T1 - Jordan isomorphisms of upper triangular matrix rings

AU - Liu, Cheng Kai

AU - Tsai, Wan Yu

PY - 2007/10/1

Y1 - 2007/10/1

N2 - Let R be a 2-torsionfree ring with identity 1 and let Tn (R), n ≥ 2, be the ring of all upper triangular n × n matrices over R. We describe additive Jordan isomorphisms of Tn (R) onto an arbitrary ring and generalize several results on this line.

AB - Let R be a 2-torsionfree ring with identity 1 and let Tn (R), n ≥ 2, be the ring of all upper triangular n × n matrices over R. We describe additive Jordan isomorphisms of Tn (R) onto an arbitrary ring and generalize several results on this line.

KW - Jordan isomorphism

KW - Upper triangular matrix ring

UR - https://www.scopus.com/pages/publications/34547453298

U2 - 10.1016/j.laa.2007.04.006

DO - 10.1016/j.laa.2007.04.006

M3 - 期刊論文

AN - SCOPUS:34547453298

SN - 0024-3795

VL - 426

SP - 143

EP - 148

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1

ER -

Jordan isomorphisms of upper triangular matrix rings

Abstract

Keywords

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