Author | Wรถrz-Busekros, Angelika. author |
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Title | Algebras in Genetics [electronic resource] / by Angelika Wรถrz-Busekros |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1980 |
Connect to | http://dx.doi.org/10.1007/978-3-642-51038-0 |
Descript | VI, 241 p. online resource |
0. Introduction -- 1. Algebras in Genetics -- A. The occurence of algebras in genetics -- B. Algebras with genetic realization and baric algebras -- 2. Algebraic Preliminaries -- A. Non associative algebras โ definitions and notations -- B. Polynomials in non-associative powers -- C. The rank equation of an algebra -- 3. Train Algebras, Genetic Algebras and Special Train Algebras -- A. Train algebras -- B. Genetic algebras -- C. Special train algebras -- 4. Idempotents and Sequences of Powers in Train Algebras, Genetic Algebras and Algebras With Genetic Realization -- A. Idempotents in train algebras and genetic algebras -- B. Idempotents in algebras with genetic realization -- C. Sequences of principal and plenary powers in genetic algebras -- 5. The Non Commutative Case -- A. Train algebras, genetic algebras and special train algebras -- B. Idempotents and sequences of powers -- 6. Construction of New Algebras -- A. Linear combinations of algebras -- B. Tensor products -- C. Duplication -- D. Construction of new algebras by linear mappings -- 7. Applications I -- A. Additive segregation rates -- B. Partially coupled loci -- C. Autopolyploidy -- D. Overlapping and continuously overlapping generations -- 8. Applications II -- A. Asymmetric segregation rates -- B. Sex-linked inheritance -- C. Inbreeding systems -- 9. Concluding Remarks and Bernstein Algebras -- A. Open problems -- B. Bernstein algebras -- References