Idempotent Elements in a Bernstein Algebra

@inproceedings{Gonzalez2006IdempotentEI,
  title={Idempotent Elements in a Bernstein Algebra},
  author={Samuel Gonzalez and Cristina Mart{\'i}nez},
  year={2006}
}
A finite-dimensional commutative algebra A over a field K is called a Bernstein algebra if there exists a non-trivial homomorphism co: A -> K (baric algebra) such that the identity (x) = CO(X)JC holds in A (see [7]). The origin of Bernstein algebras lies in genetics (see [2,8]). Holgate (in [2]) was the first to translate the problem into the language of non-associative algebras. Information about algebraic properties of Bernstein algebras, as well as their possible genetic interpretations, can… CONTINUE READING

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