From the 1 of 3 linked papers with an AI index.
3 papers
math.AC2026
Integral closure for (additively idempotent) semirings
Netanel Friedenberg, Kalina Mincheva
The paper studies various notions of integrality for (additively idempotent) semirings, compares them, and proves a Cayley‑Hamilton theorem in this setting, with applications to co…
math.AG2026
Geometric classification of primes modulo a (bend) congruence
Netanel Friedenberg, Kalina Mincheva
In this paper we continue the program to develop the algebraic foundations of tropical (algebraic) geometry. We give strong characterizations of prime congruences containing a give…
math.AG2025
Geometric interpretation of valuated term (pre)orders
Netanel Friedenberg, Kalina Mincheva
Valuated term orders are studied for the purposes of Gröbner theory over fields with valuation. The points of a usual tropical variety correspond to certain valuated terms preorde…