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arxiv: funct-an/9406001 · v1 · submitted 1994-06-07 · funct-an · math.OA

Infinite Lexicographic Products of Triangular Algebras

classification funct-an math.OA
keywords algebrastriangularinfinitelexicographicoperatorproductconnectionsdefined
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Some new connections are given between linear orderings and triangular operator algebras. A lexicograhic product is defined for triangular operator algebras and the Jacobson radical of an infinite lexicographic product of upper triangular matrix algebras is determined.

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