Bernstein algebras with associative bilinear forms
type: Item
instance of: scholarly article
title: Bernstein algebras with associative bilinear forms
zbMATH Open document ID: 0723.17030
DOI: 10.1007/BF01292922
author: D. Kharzeev
published in: Archiv der Mathematik
publication date: 1992-01-01T00:00:00Z
review text: We prove that associative bilinear forms over Bernstein algebras of type \((1+r,s)\), \(r\geq 1\), are always degenerate. Algebras of type (1,s) may have nondegenerate associative bilinear forms, whose classification reduces to the classical problem of classification of nondegenerate bilinear forms over a vector space of dimension s. Our preliminary results are valid for Bernstein algebras of arbitrary dimension, even for infinite dimensional ones.
Mathematics Subject Classification ID: 17D92
zbMATH DE Number: 4191961
zbMATH Keywords: associative bilinear forms
zbMATH Keywords: Bernstein algebras
MaRDI profile type: Publication
cites work: Genetic Algebras Satisfying Bernstein's Stationarity Principle
cites work: Varieties of algebras
cites work: Q3708857
description: scientific article; zbMATH DE number 4191961