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Infinite Lexicographic Products of Triangular Algebras
Author(s) -
Power S. C.
Publication year - 1995
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/27.3.273
Subject(s) - lexicographical order , mathematics , triangular matrix , product (mathematics) , operator (biology) , pure mathematics , algebra over a field , operator algebra , matrix (chemical analysis) , combinatorics , discrete mathematics , geometry , chemistry , repressor , chromatography , transcription factor , invertible matrix , gene , biochemistry
Some new connections are given between linear orderings and triangular operator algebras. A lexicographic product is denned for triangular operator algebras, and the Jacobson radical of an infinite lexicographic product of upper triangular matrix algebras is determined.