439 citations
- University of GrazAT211 papers
- Graz University of TechnologyAT46 papers
- Austrian Academy of SciencesAT17 papers
- Centre National de la Recherche ScientifiqueFR16 papers
- University of ViennaAT16 papers
- Institute of High Energy PhysicsCN13 papers
- Justus-Liebig-Universität GießenDE13 papers
- Heidelberg UniversityDE11 papers
- European Southern ObservatoryCL8 papers
- GSI Helmholtz Centre for Heavy Ion ResearchDE7 papers
- Helmholtz-Zentrum Dresden-RossendorfDE7 papers
- Jožef Stefan InstituteSI7 papers
17 papers · 1 filter
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…
Semigroup rings as weakly Krull domains
Gyu Whan Chang, Victor Fadinger, Daniel Windisch
Let be an integral domain and be a torsion-free commutative cancellative (additive) semigroup with identity element and quotient group . In this paper, we show that if c…
Lattices over Bass rings and graph agglomerations
Nicholas R. Baeth, Daniel Smertnig
We study direct-sum decompositions of torsion-free, finitely generated modules over a (commutative) Bass ring through the factorization theory of the corresponding monoid $T(R)…
On half-factoriality of transfer Krull monoids
Weidong Gao, Chao Liu, Salvatore Tringali +1
Let be a transfer Krull monoid over a subset of an abelian group with finite exponent. Then every non-unit can be written as a finite product of atoms, say $…
On the arithmetic of Mori monoids and domains
Qinghai Zhong
Let be a Mori domain with complete integral closure , nonzero conductor , and suppose that both -class groups $\mathcal C_v (R…
A characterization of seminormal C-monoids
Alfred Geroldinger, Qinghai Zhong
It is well-known that a C-monoid is completely integrally closed if and only if its reduced class semigroup is a group and if this holds, then the C-monoid is a Krull monoid and th…