Factorizations in Bounded Hereditary Noetherian Prime Rings

DOI10.1017/S0013091518000305zbMath1460.16012arXiv1605.09274OpenAlexW2414736112WikidataQ114117473 ScholiaQ114117473MaRDI QIDQ4631375

Daniel Smertnig

Publication date: 24 April 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09274

zbMATH Keywords

ideal class groupsKrull monoidssets of lengthscatenary degreesfactorization theoryhereditary Noetherian prime ringsDedekind prime ringstransfer homomorphismsmonoids of zero-sum sequences

Mathematics Subject Classification ID

Divisibility, noncommutative UFDs (16U30) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Noetherian rings and modules (associative rings and algebras) (16P40) (K_0) of other rings (19A49) Arithmetic theory of semigroups (20M13)

Related Items (14)

A realization result for systems of sets of lengths ⋮ Finiteness of elasticities of orders in central simple algebras ⋮ On transfer Krull monoids ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ Arithmetical invariants of local quaternion orders ⋮ Sets of lengths in atomic unit-cancellative finitely presented monoids ⋮ On the arithmetic of power monoids and sumsets in cyclic groups ⋮ A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions ⋮ Long sets of lengths with maximal elasticity ⋮ Puiseux monoids and transfer homomorphisms ⋮ Factorization theory in commutative monoids ⋮ On half-factoriality of transfer Krull monoids ⋮ Which sets are sets of lengths in all numerical monoids? ⋮ On transfer homomorphisms of Krull monoids

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