Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic.
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Publication:2393586
zbMath1279.20073arXiv1208.4202MaRDI QIDQ2393586
Publication date: 8 August 2013
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.4202
Krull monoidsprime Goldie ringsdivisor theorybounded factorization monoidsmultiplicative semigroups of Krull ringsnon-commutative monoidssets of factorization lengths
Semigroup rings, multiplicative semigroups of rings (20M25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13) Orders in separable algebras (16H10)
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Factorizations of block triangular matrices, Divisor sequences of atoms in Krull monoids, Power monoids: a bridge between factorization theory and arithmetic combinatorics, Sets of Lengths, Krull orders in nilpotent groups., Factorization under local finiteness conditions, Factorizations in upper triangular matrices over information semialgebras, On noncommutative bounded factorization domains and prime rings, Sets of lengths in maximal orders in central simple algebras., Factorizations of upper triangular matrices, Factorizations in Bounded Hereditary Noetherian Prime Rings, Sets of lengths in atomic unit-cancellative finitely presented monoids, Factorization theory: from commutative to noncommutative settings., Right Mori Orders, The system of sets of lengths in Krull monoids under set addition, Factorization theory in commutative monoids, Multiplicative Ideal Theory in Noncommutative Rings, The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics, Noetherian Semigroup Algebras and Beyond, Factorizations of Elements in Noncommutative Rings: A Survey, A characterization of length-factorial Krull monoids, Krull orders in nilpotent groups: corrigendum and addendum.
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