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- W3048810144 abstract "Abstract Peirce-evanescent baric identities are polynomial identities verified by baric algebras such that their Peirce polynomials are the null polynomial. In this paper procedures for constructing such homogeneous and non homogeneous identities are given. For this we define an algebraic system structure on the free commutative nonassociative algebra generated by a set T which provides for classes of baric algebras satisfying a given set of identities similar properties to those of the varieties of algebras. Rooted binary trees with labeled leaves are used to explain the Peirce polynomials. It is shown that the mutation algebras satisfy all Peirce-evanescent identities, it results from this that any part of the field K can be the Peirce spectrum of a K-algebra satisfying a Peirce-evanescent identity. We end by giving methods to obtain generators of homogeneous and non-homogeneous Peirce-evanescent identities that are applied in several univariate and multivariate cases." @default.
- W3048810144 created "2020-08-18" @default.
- W3048810144 creator A5067244839 @default.
- W3048810144 date "2020-12-01" @default.
- W3048810144 modified "2023-10-18" @default.
- W3048810144 title "Peirce-evanescent baric identities" @default.
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- W3048810144 doi "https://doi.org/10.1016/j.jalgebra.2020.08.006" @default.
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