4 papers
Unique representation domains, II
Said El Baghdadi, Stefania Gabelli, Muhammad Zafrullah
Given a star operation * of finite type, we call a domain R a *-unique representation domain (*-URD) if each *-invertible *-ideal of R can be uniquely expressed as a *-product of p…
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…
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…
Semistar Dedekind Domains
Said El Baghdadi, Marco Fontana, Giampaolo Picozza
Let be an integral domain and a semistar operation on . As a generalization of the notion of Noetherian domains to the semistar setting, we say that is a …