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The entropic law in genetic algebra. (English) Zbl 0671.17021
In an algebra, the entropic identity is the following: for all elements a, b, c, d: \((ab)(cd)=(ac)(bd).\) In this note, the author examines conditions under which the entropic law is satisfied in genetic algebras, and the consequences of imposing it when it is not. These properties are studied first in baric algebras, then in genetic algebras with polyploid ideal structure, Bernstein algebras, and Gonshor algebras.
Reviewer: M.Bertrand
MSC:
17D92 Genetic algebras
92D10 Genetics and epigenetics
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