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math.AC2025★ 5 cited
On transfer homomorphisms in commutative rings with zero-divisors
Aqsa Bashir, Mara Pompili
We study the arithmetic of monoids of regular elements of commutative rings with zero-divisors. Our focus is on Krull rings and on some of their generalizations (such as weakly Kru…
math.AC2021
On transfer Krull monoids
Aqsa Bashir, Andreas Reinhart
Let be a cancellative commutative monoid, let be the set of atoms of and let be the root closure of . Then is called transfer Krull…
math.AC2020
On the arithmetic of stable domains
Aqsa Bashir, Alfred Geroldinger, Andreas Reinhart
A commutative ring is stable if every non-zero ideal of is projective over its ring of endomorphisms. Motivated by a paper of Bass in the 1960s, stable rings have recei…