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math.AC2026
On the arithmetic of polynomial ideals
Nikola Bogdanovic, Laura Cossu, Azeem Khadam
This paper investigates atomic factorizations in the monoid of nonzero ideals of a multivariate polynomial ring , under ideal multiplication. Building on recent…
math.AC2025
Realization of spaces of commutative rings
Laura Cossu, Bruce Olberding
Motivated by recent work on the use of topological methods to study collections of rings between an integral domain and its quotient field, we examine spaces of subrings of a commu…