5 citations · 6 across the 3 of their papers we have counts for
5 papers
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…
Sets of Cross Numbers of Sequences over Finite Abelian Groups
Aqsa Bashir, Wolfgang A. Schmid
Let be a finite abelian group with the exponent of . Then denotes the set of cross numbers of minimal zero-sum sequences over and …
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…
On a zero-sum problem arising from factorization theory
Aqsa Bashir, Alfred Geroldinger, Qinghai Zhong
We study a zero-sum problem dealing with minimal zero-sum sequences of maximal length over finite abelian groups. A positive answer to this problem yields a structural description…
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…