Nuclear Bernstein algebras with a stochastic basis
type: Item
instance of: scholarly article
title: Nuclear Bernstein algebras with a stochastic basis
zbMATH Open document ID: 0939.17021
author: J. Carlos Gutiérrez
author: Consuelo Martínez
published in: Journal of Algebra
publication date: 1999-09-22T00:00:00Z
review text: Bernstein algebras were introduced in the paper of \textit{Yu. I. Lyubich} [Usp. Mat. Nauk 32, No. 6, 261-262 (1977; Zbl 0376.92008)] in connection with a problem in mathematical genetics, in which the biological characteristics of the two parents are communicated to their offspring. The main result of this paper is to prove a conjecture of Lyubich, according to which a nuclear Bernstein algebra with a stochastic basis is regular.
Mathematics Subject Classification ID: 17D92
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 1340614
zbMATH Keywords: genetic algebras
zbMATH Keywords: regular algebras
zbMATH Keywords: nuclear Bernstein algebra
zbMATH Keywords: stochastic basis
reviewed by: A. A. Rakhimov
MaRDI profile type: Publication
full work available at URL: jabr.1998.7796
OpenAlex ID: W2012967247
cites work: Idempotent Elements in a Bernstein Algebra
cites work: Classification of bernstein algebras of type (3,n- 3)
cites work: Genetic Algebras Satisfying Bernstein's Stationarity Principle
cites work: Q4182313
cites work: Q3724143
cites work: Q4316277
cites work: Algebraic structure of genetic inheritance
cites work: Bernstein algebras which are Jordan algebras
DOI: 10.1006/JABR.1998.7796
description: scientific article; zbMATH DE number 1340614