Polynomially representable semirings. (English) Zbl 1239.16044
Summary: We characterize semirings which can be represented by an algebra of binary polynomials of the form \(a\cdot x+y\) where the operations are compositions of functions. Furthermore, we classify which algebras with two binary and two nullary operations can be represented in this way and how these algebras are related to semirings.
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