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- W4322614700 abstract "Let ${mathbb F}$ be an arbitrary field. We consider a commutative, non-associative, $4$-dimensional algebra ${mathfrak M}$ of the rock, the paper and the scissors with unit over ${mathbb F}$ and we prove that the image over ${mathfrak M}$ of every non-associative multilinear polynomial over ${mathbb F}$ is a vector space. The same question we consider for two subalgebras: an algebra of the rock, the paper and the scissors without unit, and an algebra of trace zero elements with zero scalar part. Moreover in this paper we consider the questions of possible evaluations of homogeneous polynomials on these algebras." @default.
- W4322614700 created "2023-03-01" @default.
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- W4322614700 date "2020-06-08" @default.
- W4322614700 modified "2023-09-27" @default.
- W4322614700 title "The images of multilinear non-associative polynomials evaluated on a rock-paper-scissors algebra with unit over an arbitrary field" @default.
- W4322614700 doi "https://doi.org/10.48550/arxiv.2006.04517" @default.
- W4322614700 hasPublicationYear "2020" @default.
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