On c-semigroups

DOI10.4064/aa-31-3-247-257zbMath0303.13014OpenAlexW828740727MaRDI QIDQ4059048

Ladislav Skula

Publication date: 1976

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205509

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Semigroup rings, multiplicative semigroups of rings (20M25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (33)

Some factorization properties of Krull domains with infinite cyclic divisor class group ⋮ Analytic and arithmetic theory of semigroups with divisor theory ⋮ Topological characterizations of ordered groups with quasi-divisor theory ⋮ Some remarks on Lorenzen $r$-group of partly ordered groups ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Chains of factorizations and sets of lengths ⋮ Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern. (A quantitative result on factorizations of different length in algebraic number fields) ⋮ Quasi-divisor theories and generalizations of Krull domains ⋮ Differences in sets of lengths of Krull monoids with finite class group. ⋮ \(t\)-valuations and the theory of quasi-divisors ⋮ Unnamed Item ⋮ Length-factoriality in commutative monoids and integral domains ⋮ Half-factorial subrings of factorial domains ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups ⋮ Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid ⋮ Arithmetical characterizations of divisor class groups ⋮ Erdős-Zaks all divisor sets. ⋮ An approximation theorem for semigroups with divisor theory ⋮ Elasticity of factorizations in integral domains ⋮ So What Is Class Number 2? ⋮ On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation. ⋮ Factorization problems in semigroups ⋮ On congruence half-factorial Krull monoids with cyclic class group ⋮ EZADS inputs which produce half-factorial block monoids. ⋮ Factorization invariants of Puiseux monoids generated by geometric sequences ⋮ On half-factoriality of transfer Krull monoids ⋮ Factorization in Dedekind domains with finite class group ⋮ Construction of po-groups with quasi-divisors theory ⋮ Unnamed Item ⋮ Independence of Hecke zeta functions of finite order over normal fields ⋮ On the maximal cardinality of half-factorial sets in cyclic groups ⋮ Structural results for semigroup subsets defined by factorization properties dependent on \(\Omega\) functions. ⋮ Arithmetical theory of monoid homomorphisms

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