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- W3194095000 abstract "Let $$underline{S}$$ be an arbitrary subset of $$R^n$$ where R is a domain with the field of fractions $$mathbb {K}$$ . Denote the ring of polynomials in n variables over $$mathbb {K}$$ by $$mathbb {K}[underline{x}] $$ . The ring of integer-valued polynomials over $$underline{S}$$ , denoted by Int $$(underline{S},R)$$ , is defined as the set of the polynomials of $$mathbb {K}[underline{x}] $$ , which maps $$underline{S}$$ to R. In this article, we study the irreducibility of the polynomials of Int $$(underline{S},R)$$ for the first time in the case when R is a Unique Factorization Domain. We also show that our results remain valid when R is a Dedekind domain or, sometimes, any domain." @default.
- W3194095000 created "2021-08-30" @default.
- W3194095000 creator A5010021533 @default.
- W3194095000 date "2022-08-02" @default.
- W3194095000 modified "2023-10-07" @default.
- W3194095000 title "Irreducibility of integer-valued polynomials in several variables" @default.
- W3194095000 cites W2026087114 @default.
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- W3194095000 doi "https://doi.org/10.1007/s10998-022-00467-5" @default.
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