Affiliation:
1. Department of Statistics and Operative Research, Public University of Navarre, Campus Arrosadía, Pamplona, 31.006 Navarra, Spain
Abstract
We study the structure of genetic coalgebras and prove the existence of a decomposition as the direct sum of indecomposable subcoalgebras with genetic realization. To obtain such a decomposition, we first define a new multiplication for their related cubic stochastic matrices of type (1,2) and then, considering these matrices as cubic non-negative, we show how this new multiplication induces an index classification which can be used to study the genetic coalgebra structure. Genetically, the given coalgebra decomposition can be understood as a genetic clustering of the different types for the genetic trait defining the genetic coalgebra, which allows us to identify isolated ancestral populations.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
5 articles.
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1. On the structure of Lotka-Volterra coalgebras;Communications in Algebra;2024-01-18
2. Skewed comultiplications in genetic coalgebras;Journal of Algebra and Its Applications;2022-11-17
3. In-evolution operators in genetic coalgebras;Linear Algebra and its Applications;2021-04
4. Evolution coalgebras on chicken populations;Linear and Multilinear Algebra;2018-08-20
5. Evolution coalgebras;Linear and Multilinear Algebra;2018-04-19