DECOMPOSITION OF JORDAN AUTOMORPHISMS OF TRIANGULAR MATRIX ALGEBRA OVER COMMUTATIVE RINGS
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 529-536
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Let Tn+1(R) be the algebra of all upper triangular n+1 by n+1 matrices over a 2-torsionfree commutative ring R with identity. In this paper, we give a complete description of the Jordan automorphisms of Tn+1(R), proving that every Jordan automorphism of Tn+1(R) can be written in a unique way as a product of a graph automorphism, an inner automorphism and a diagonal automorphism for n ≥ 1.
WANG, XING TAO; LI, YUAN MIN. DECOMPOSITION OF JORDAN AUTOMORPHISMS OF TRIANGULAR MATRIX ALGEBRA OVER COMMUTATIVE RINGS. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 529-536. doi: 10.1017/S0017089510000406
@article{10_1017_S0017089510000406,
author = {WANG, XING TAO and LI, YUAN MIN},
title = {DECOMPOSITION {OF} {JORDAN} {AUTOMORPHISMS} {OF} {TRIANGULAR} {MATRIX} {ALGEBRA} {OVER} {COMMUTATIVE} {RINGS}},
journal = {Glasgow mathematical journal},
pages = {529--536},
year = {2010},
volume = {52},
number = {3},
doi = {10.1017/S0017089510000406},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000406/}
}
TY - JOUR AU - WANG, XING TAO AU - LI, YUAN MIN TI - DECOMPOSITION OF JORDAN AUTOMORPHISMS OF TRIANGULAR MATRIX ALGEBRA OVER COMMUTATIVE RINGS JO - Glasgow mathematical journal PY - 2010 SP - 529 EP - 536 VL - 52 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000406/ DO - 10.1017/S0017089510000406 ID - 10_1017_S0017089510000406 ER -
%0 Journal Article %A WANG, XING TAO %A LI, YUAN MIN %T DECOMPOSITION OF JORDAN AUTOMORPHISMS OF TRIANGULAR MATRIX ALGEBRA OVER COMMUTATIVE RINGS %J Glasgow mathematical journal %D 2010 %P 529-536 %V 52 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000406/ %R 10.1017/S0017089510000406 %F 10_1017_S0017089510000406
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