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Brief communications
On the Branching Points of the Spectrum of an Algebraic Extension of a Uniform Algebra
B. T. Batikyan Institute of Mathematics, National Academy of Sciences of Armenia
Abstract:
The branching points of the spectrum of an algebraic extension of a uniform algebra $A$ are algebraically described, and the so-called $A$-index of branching of such points is introduced and studied. The description of the
character of branching in terms of local point derivations on the algebraic extension is obtained.
Keywords:
Banach algebra, algebraic extension, $A$-index of branching, point derivation.
Received: 27.12.1999
Citation:
B. T. Batikyan, “On the Branching Points of the Spectrum of an Algebraic Extension of a Uniform Algebra”, Funktsional. Anal. i Prilozhen., 36:2 (2002), 77–80; Funct. Anal. Appl., 36:2 (2002), 148–150
Linking options:
https://www.mathnet.ru/eng/faa194https://doi.org/10.4213/faa194 https://www.mathnet.ru/eng/faa/v36/i2/p77
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