×

Tying up baric algebras. (English) Zbl 1299.17030

Summary: Given two baric algebras \((A_1,\omega _1)\) and \((A_2,\omega _2)\) we describe a way to define a new baric algebra structure over the vector space \(A_1\oplus A_2\), which we shall denote \((A_1\bowtie A_2,\omega _1\bowtie \omega _2)\). We present some easy properties of this construction and we show that in the commutative and unital case it preserves indecomposability. Algebras of the form \(A_1\bowtie A_2\) in the associative, coutable-dimensional, zero-characteristic case are classified.

MSC:

17D92 Genetic algebras
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.