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- W2946362019 abstract "This paper gives a universal definition of $mathbb{F}_q [t]$ in $mathbb{F}_q (t)$ using 89 quantifiers, more direct than those that exist in the current literature. The language $mathcal{L}_{mbox{rings}, t}$ we consider here is the language of rings ${0, 1, +, -, cdot}$ with an additional constant symbol $t$. We then modify this definition marginally to universally define $mathbb{F}_q [t]$ in $mathbb{F}_q (t)$ without parameters, using 90 quantifiers. We assume throughout that the characteristic of $mathbb{F}_q$ is odd." @default.
- W2946362019 created "2019-05-29" @default.
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- W2946362019 date "2019-05-14" @default.
- W2946362019 modified "2023-09-27" @default.
- W2946362019 title "A New Universal Definition of $mathbb{F}_q [t]$ in $mathbb{F}_q (t)$" @default.
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