No CrossRef data available.
Article contents
On Rings with a Certain Type of Factorization and Compact Riemann Surfaces
Published online by Cambridge University Press: 20 November 2018
Abstract
Let be a compact Riemann surface,
be the complement of a nonvoid finite subset of
and A(
) be the ring of finite sums of meromorphic functions in
with finite divisor. In this paper it is proved that every nonzero f ∈ A(
) can be decomposed as a product αβ, where α is either a unit or a product of powers of irreducible elements of A(
), uniquely determined by f up to multiplication by units, and β is a product of functions of the type eφ – 1, with φ holomorphic and nonconstant in
. Furthermore, a similar result is obtained for a certain class of subrings of A(
).
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1990