Indecomposable baric algebras. II
type: Item
instance of: scholarly article
title: Indecomposable baric algebras. II
zbMATH Open document ID: 0811.17035
DOI: 10.1016/0024-3795(94)90326-3
author: H. jun. Guzzo
author: Roberto Costa
published in: Linear Algebra and its Applications
publication date: 1994-04-14T00:00:00Z
review text: The concept and properties of indecomposability for baric algebras having an idempotent of weight one were introduced in the review of Part I above [same journal 183, 223-236 (1993; Zbl 0811.17034)]. First, a sufficient condition to ensure that the commutative duplicate of a commutative indecomposable baric algebra is indecomposable, is established by the authors. Then, the notion of closed class is defined, and several theorems, giving examples of closed classes, are proved. In the last part, the gametic and zygotic algebras for \(k\) linked or independent loci are proved to be indecomposable.
Mathematics Subject Classification ID: 17D92
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 519712
zbMATH Keywords: gametic algebras
zbMATH Keywords: duplication
zbMATH Keywords: genetic algebras
zbMATH Keywords: indecomposability
zbMATH Keywords: idempotent
zbMATH Keywords: indecomposable baric algebra
zbMATH Keywords: closed class
zbMATH Keywords: zygotic algebras
reviewed by: Monique Bertrand
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90326-3
OpenAlex ID: W4205400684
cites work: Indecomposable baric algebras
cites work: Genetic algebras for systems with linked loci
cites work: The Genetic Algebra of k Linked Loci
cites work: Canonical multiplication in the genetic algebra for linked loci
cites work: Sur les algèbres de Bernstein. IV. (On Bernstein algebras. IV)
cites work: Varieties of algebras
cites work: Q3869125
description: scientific article; zbMATH DE number 519712