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math.AC2026
Integral closure for (additively idempotent) semirings
Netanel Friedenberg, Kalina Mincheva
In commutative ring theory there are multiple equivalent definitions of integrality. These notions diverge when working with idempotent semirings. In this paper we present these di…
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…