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Indecomposable baric algebras - MaRDI portal

Indecomposable baric algebras (Q2365686)

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Indecomposable baric algebras
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    Indecomposable baric algebras (English)
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    29 June 1993
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    The authors introduce the concept of indecomposable baric algebras and prove a Krull-Schmidt theorem for algebras satisfying ascending and descending chain conditions. They analyze some well-known examples of genetic algebras with regard to their indecomposability. Counterexamples are given to three natural statements about indecomposability. [For Part II, same journal 196, 233-242 (1994), see the review below].
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    idempotent
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    indecomposable baric algebras
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    Krull-Schmidt theorem
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    chain conditions
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    genetic algebras
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    indecomposability
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