On Long-Term Problems in Multiplicative Ideal Theory and Factorization Theory

2025/02/28 by Geroldinger, Alfred, Kim, Hwankoo, Loper, K. Alan · 3 citations
#13A15 #13D22 #13D30 20M12 #13F15 #20M13 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13A05 #Secondary 13F05

paper · doi:10.48550/arxiv.2502.21020

Abstract

In this survey article we discuss key open problems which could serve as a guidance for further research directions of multiplicative ideal theory and factorization theory.

Cited by

• Cotorsion modules relative to a hereditary torsion theory
• Module-Theoretic Characterizations of Prufer v-Multiplication Domains
• Factorization in Finitely-Presented Monoids

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