On Monoids of Finite Real Character
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Publication:3033991
DOI10.2307/2046899zbMath0692.20058OpenAlexW4242711873MaRDI QIDQ3033991
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2046899
integral domainsKrull monoidsKrull domainsessential valuationsdivisor theorymonoids of finite real character
Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Semigroup rings, multiplicative semigroups of rings (20M25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
Related Items (19)
The monoid of regular elements in commutative rings with zero divisors ⋮ Analytic and arithmetic theory of semigroups with divisor theory ⋮ A realization result for systems of sets of lengths ⋮ Quasi-divisor theories and generalizations of Krull domains ⋮ Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. ⋮ An approximation theorem for semigroups with divisor theory ⋮ Realization theorems for semigroups with divisor theory ⋮ Direct-sum decompositions of modules with semilocal endomorphism rings ⋮ On congruence half-factorial Krull monoids with cyclic class group ⋮ On the arithmetic of Krull monoids with finite Davenport constant. ⋮ Cones in numerical modules ⋮ Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group ⋮ The toroidal embedding arising from an irrational fan ⋮ Monoids determined by a homogeneous linear Diophantine equation and the half-factorial property ⋮ Criteria for unique factorization in integral domains ⋮ Factorizations of polynomials with integral non-negative coefficients ⋮ Inside factorial monoids and integral domains ⋮ Arithmetic Congruence Monoids: A Survey ⋮ Arithmetical theory of monoid homomorphisms
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