On The Class Group of a Graded Domain

Details On The Class Group of a Graded Domain On The Class Group of a Graded Domain

2006-06-27

arxiv.org/abs/math/0606693v1

J. Pure Appl. Algebra 171 (2-3) (2002) 171-184

Mathematics

Commutative Algebra

17 pages

Scientific paper

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.

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