$\mathcal{T}$-semiring pairs
Rings and Algebras
2022-08-09 v2 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.2203.01086,
title = {$\mathcal{T}$-semiring pairs},
author = {Jaiung Jun and Kalina Mincheva and Louis Rowen},
journal= {arXiv preprint arXiv:2203.01086},
year = {2022}
}
Comments
23pp