EuDML | Browse

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Subjects
13-XX Commutative algebra
13Gxx Integral domains

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 6 of 6

Factorization in Krull monoids with infinite class group

Florian Kainrath (1999)

Colloquium Mathematicae

Let H be a Krull monoid with infinite class group and such that each divisor class of H contains a prime divisor. We show that for each finite set L of integers ≥2 there exists some h ∈ H such that the following are equivalent: (i) h has a representation $h = u_{1} \cdot . . . \cdot u_{k}$ for some irreducible elements $u_{i}$ , (ii) k ∈ L.