Some Characterizations of Krull Monoids

DOI10.1142/S1005386707000429zbMath1128.20048MaRDI QIDQ5297248

Myeong Og Kim, Hwankoo Kim, Young Soo Park

Publication date: 18 July 2007

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ac/14/1403/S1005386707000429.html

zbMATH Keywords

Krull monoidsideal systemsvaluation monoidscommutative cancellative semigroupsPrüfer monoidsGCD-monoidsuniquely factorable monoids

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings ⋮ Invertibility, Semistar Operations, and the Ring of Finite Fractions ⋮ On the arithmetic of Krull monoids with infinite cyclic class group

Cites Work

• Unnamed Item
• Unnamed Item
• Prüfer and Dedekind monoids
• Pruefer and Dedekind monoids. II
• On strong Mori domains
• Monoids determined by a homogeneous linear Diophantine equation and the half-factorial property
• FACTORABLE DOMAINS
• Krull domains of generalized power series
• Star-operations on semigroups.

This page was built for publication: Some Characterizations of Krull Monoids