Factorization theory in commutative monoids
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Publication:2297048
DOI10.1007/s00233-019-10079-0zbMath1442.20037arXiv1907.09869OpenAlexW2998684166WikidataQ126407600 ScholiaQ126407600MaRDI QIDQ2297048
Alfred Geroldinger, Qinghai Zhong
Publication date: 18 February 2020
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.09869
Related Items (34)
An abstract factorization theorem and some applications ⋮ On a Zero-Sum Problem Arising From Factorization Theory ⋮ Lattices over Bass rings and graph agglomerations ⋮ A realization result for systems of sets of lengths ⋮ Finiteness of elasticities of orders in central simple algebras ⋮ On product-one sequences over dihedral groups ⋮ On the additive structure of algebraic valuations of polynomial semirings ⋮ On transfer Krull monoids ⋮ Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers ⋮ On the primality and elasticity of algebraic valuations of cyclic free semirings ⋮ Factorizations of the same length in abelian monoids ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ The realization problem for finitely generated refinement monoids ⋮ A characterisation of atomicity ⋮ On the incomparability of systems of sets of lengths ⋮ On the atomic structure of torsion-free monoids ⋮ Length-factoriality and pure irreducibility ⋮ Complement-Finite Ideals ⋮ On monoids of plus-minus weighted zero-sum sequences: the isomorphism problem and the characterization problem ⋮ On noncommutative bounded factorization domains and prime rings ⋮ A Note on Fraction Decompositions of Integers ⋮ On the arithmetic of power monoids and sumsets in cyclic groups ⋮ Divisor closed and quasi-divisor closed extensions ⋮ On the arithmetic of stable domains ⋮ Approximating length-based invariants in atomic Puiseux monoids ⋮ Unnamed Item ⋮ Bi-atomic classes of positive semirings ⋮ On half-factoriality of transfer Krull monoids ⋮ On transfer homomorphisms of Krull monoids ⋮ A characterization of length-factorial Krull monoids ⋮ A Reciprocity on Finite Abelian Groups Involving Zero-Sum Sequences ⋮ On the class semigroup of root-closed weakly Krull Mori monoids ⋮ Associates, irreducibility, and factorization length in monoid rings with zero divisors ⋮ Generalized power series with a limited number of factorizations
Uses Software
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