فهرست نشریات علمی دسترسی آزاد ایران

Our aim in this article is to study algebraically and geometrically closed structures in a commutative ring with unity R. It is proved that the lattice of idempotents E of R is an algebraically closed lattice. We also show that if E is dense-in-itself, then E* is geometrically closed in Mod(T, A ). Finally, the relationship between an equicharacteristic regular local ring and an algebraically closed residue field is considered.