On The Class Group of a Graded Domain
Commutative Algebra
2007-05-23 v1 Number Theory
Abstract
This paper studies the class group of graded integral domains. As an application, we state a decomposition theorem for class groups of semigroup rings. This recovers well-known results developed for the classic contexts of polynomial rings and Krull semigroup rings. Our results are backed by original examples.
Cite
@article{arxiv.math/0606693,
title = {On The Class Group of a Graded Domain},
author = {S. El Baghdadi and L. Izelgue and S. Kabbaj},
journal= {arXiv preprint arXiv:math/0606693},
year = {2007}
}
Comments
17 pages