A NEW CHARACTERIZATION OF HALF-FACTORIAL KRULL MONOIDS

DOI10.1142/S0219498810004269zbMath1219.13011MaRDI QIDQ3056463

Ross Kravitz, Paul Baginski

Publication date: 12 November 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

irreducible elementsKrull monoidscancellative monoidsnon-unique factorizationselasticity of factorizationsblock monoidhalf factorial monoids

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13)

Related Items (6)

Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains ⋮ A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator ⋮ On half-factoriality of transfer Krull monoids ⋮ Factorization theory of root closed monoids of small rank ⋮ On transfer homomorphisms of Krull monoids ⋮ Elasticities of Krull monoids with infinite cyclic class group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elastic properties and prime elements.
• Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse)
• Strongly taut finitely generated monoids.
• Power series extensions of half-factorial domains
• On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation.
• The distribution of prime divisors in Krull monoid domains
• Asymptotic elasticity in atomic monoids.
• On the maximal cardinality of half-factorial sets in cyclic groups
• Krull domains of generalized power series

This page was built for publication: A NEW CHARACTERIZATION OF HALF-FACTORIAL KRULL MONOIDS