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.

UDC: 517.986

Received: 27.12.1999

DOI: 10.4213/faa194

 English version: Functional Analysis and Its Applications, 2002, 36:2, 148–150

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