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On transfer homomorphisms of Krull monoids
- Source :
- Bollettino Della Unione Matematica Italiana (2008)
- Publication Year :
- 2021
- Publisher :
- Springer International Publishing, 2021.
-
Abstract
- Every Krull monoid has a transfer homomorphism onto a monoid of zero-sum sequences over a subset of its class group. This transfer homomorphism is a crucial tool for studying the arithmetic of Krull monoids. In the present paper, we strengthen and refine this tool for Krull monoids with finitely generated class group.
- Subjects :
- Monoid
Class (set theory)
Pure mathematics
20M12
General Mathematics
010103 numerical & computational mathematics
Commutative Algebra (math.AC)
Krull monoids
01 natural sciences
20M13
Article
13A15, 13F05, 16D70, 20M12, 20M13
Transfer Krull monoids
Mathematics::Category Theory
16D70
FOS: Mathematics
Finitely-generated abelian group
0101 mathematics
Transfer homomorphisms
Mathematics
13A15
Mathematics::Commutative Algebra
Group (mathematics)
010102 general mathematics
Mathematics::Rings and Algebras
Mathematics - Commutative Algebra
Class groups
Transfer (group theory)
13F05
Homomorphism
Subjects
Details
- Language :
- English
- ISSN :
- 21982759 and 19726724
- Volume :
- 14
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- Bollettino Della Unione Matematica Italiana (2008)
- Accession number :
- edsair.doi.dedup.....0f79a54d45059a6089168a8898e88312