$\mathcal{T}$-semiring pairs
| Autor: | Jaiung Jun, Kalina Mincheva, Louis Rowen |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Artificial Intelligence
Control and Systems Engineering Rings and Algebras (math.RA) FOS: Mathematics Mathematics - Rings and Algebras Electrical and Electronic Engineering Mathematics - Commutative Algebra Commutative Algebra (math.AC) Primary 08A05 14T10 16Y60 18A05 18C10 Secondary 08A30 08A72 12K10 13C60 18E05 20N20 Software Information Systems Theoretical Computer Science |
| DOI: | 10.48550/arxiv.2203.01086 |
| Popis: | 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. Comment: 23pp |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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