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Commuting Maps of Triangular Algebras
Author(s) -
Cheung WaiShun
Publication year - 2001
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610700001642
Subject(s) - center (category theory) , class (philosophy) , mathematics , algebra over a field , triangular matrix , pure mathematics , jordan algebra , algebra representation , computer science , crystallography , chemistry , artificial intelligence , invertible matrix
Commuting maps on a class of algebras called triangular algebras are investigated. In particular, sufficient conditions are given such that every commuting map L on such an algebra is of the form L ( a ) = ax + h ( a ), where x lies in the center of the algebra and h is a linear map from the algebra to its center.