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math.AC2006
Ring-theoretic properties of PVMDs
Said El Baghdadi, Stefania Gabelli
We extend to Prüfer -multiplication domains some distinguished ring-theoretic properties of Prüfer domains. In particular we consider the $t##$-property, the -radical trace p…
math.AC2006
On The Class Group of a Graded Domain
S. El Baghdadi, L. Izelgue, S. Kabbaj
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 res…