On the Branching Points of the Spectrum of an Algebraic Extension of a Uniform Algebra
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 2, pp. 77-80
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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.
@article{FAA_2002_36_2_a8,
author = {B. T. Batikyan},
title = {On the {Branching} {Points} of the {Spectrum} of an {Algebraic} {Extension} of a {Uniform} {Algebra}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {77--80},
year = {2002},
volume = {36},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2002_36_2_a8/}
}
B. T. Batikyan. On the Branching Points of the Spectrum of an Algebraic Extension of a Uniform Algebra. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 2, pp. 77-80. http://geodesic.mathdoc.fr/item/FAA_2002_36_2_a8/
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