论文标题
$ \ MATHCAL {T} $ - 半度性对
$\mathcal{T}$-semiring pairs
论文作者
论文摘要
我们开发了代数对的一般公理理论，该理论同时概括了几个代数结构，以便绕过否定的否定。我们在此环境中研究了几种经典定理和概念，包括分数，积分扩展和希尔伯特的无效。最后，我们研究了这种情况下的增长概念。
We develop a general axiomatic theory of algebraic pairs, which simultaneously generalizes several algebraic structures, in order to bypass negation as much as feasible. We investigate several classical theorems and notions in this setting including fractions, integral extensions, and Hilbert's Nullstellensatz. Finally, we study a notion of growth in this context.
