Half-factorial-domains
From MaRDI portal
Publication:1838528
DOI10.1007/BF02788927zbMath0509.13017OpenAlexW3021035590MaRDI QIDQ1838528
Publication date: 1980
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02788927
Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Arithmetic rings and other special commutative rings (13F99)
Related Items (52)
Factorization invariants of the additive structure of exponential Puiseux semirings ⋮ The half-factorial property in integral extensions ⋮ The category of factorization ⋮ Some factorization properties of Krull domains with infinite cyclic divisor class group ⋮ On non-unique factorizations into irreducible elements ⋮ On a characterization of algebraic number fields with class number less than three ⋮ On the additive structure of algebraic valuations of polynomial semirings ⋮ On the hfd, chfd, and k-hfd properties in dedekind domains ⋮ Factorizations in evaluation monoids of Laurent semirings ⋮ Factorization in K[Xn, Xn+1,…,X2n−1] ⋮ Length-factoriality in commutative monoids and integral domains ⋮ On the k ‐HFD property in Dedekind domains with small class group ⋮ Half-factorial subrings of factorial domains ⋮ Overring of half-factorial domains. II ⋮ On the arithmetic of polynomial semidomains ⋮ On the atomic structure of torsion-free monoids ⋮ Some Examples in the Theory of Factorization in Integral Domains ⋮ Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid ⋮ On a general theory of factorization in integral domains ⋮ Elasticity in Polynomial-Type Extensions ⋮ Erdős-Zaks all divisor sets. ⋮ Every divisor class of Krull monoid domains contains a prime ideal ⋮ An embedding theorem ⋮ Elasticity of factorizations in integral domains ⋮ Length Functions on Integral Domains ⋮ Half-factorial domains in quadratic fields ⋮ FACTORIZATION IN MONOID DOMAINS ⋮ Factorization in integral domains. II ⋮ Splitting multiplicative sets and elasticity ⋮ Long length functions ⋮ WELL-CENTERED PAIRS OF RINGS ⋮ 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 Factorization in Modules ⋮ EZADS inputs which produce half-factorial block monoids. ⋮ Factorization invariants of Puiseux monoids generated by geometric sequences ⋮ On half-factoriality of transfer Krull monoids ⋮ Reducible sums and splittable sets ⋮ Factorization in Dedekind domains with finite class group ⋮ On The Asymptotic Values of Length Functions In Krull And Finitely Generated commutative Monoids ⋮ The distribution of prime divisors in Krull monoid domains ⋮ Factorization in integral domains. III ⋮ Some remarks on half-factorial orders ⋮ Bounded and finite factorization domains ⋮ On the maximal cardinality of half-factorial sets in cyclic groups ⋮ A characterization of algebraic number fields with cyclic class group of prime power order ⋮ Gauge functions and the divisor chain condition ⋮ Factorization in integral domains ⋮ Elasticity and ramification ⋮ Factorization in \(K[X^ 2,X^ 3\)] ⋮ On the integral closure of a half-factorial domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a special class of Dedekind domains
- Specified relations in the ideal group
- Every Abelian group is a class group
- Half factorial domains
- Dedekind k-subalgebras of k(x)
- Overrings of Commutative Rings. II. Integrally Closed Overrings
- Integral Domains Which are Almost Dedekind
- A Characterization of Algebraic Number Fields with Class Number Two
- On the flat overrings of an integral domain
This page was built for publication: Half-factorial-domains
