Showing math.ACShow all
3 papers · 1 filter
math.AC2012
Modules Whose Classical Prime Submodules Are Intersections of Maximal Submodules
Marzieh Arabi-Kakavand, Mahmood Behboodi
Commutative rings in which every prime ideal is the intersection of maximal ideals are called Hilbert (or Jacobson) rings. We propose to define classical Hilbert modules by the pro…
math.AC2012
Modules Satisfying the Prime Radical Condition and a Sheaf Construction for Modules II
Mansour Aghasi, Mahmood Behboodi, Masoud Sabzevari
In this paper we continue our study of modules satisfying the prime radical condition (-radical modules), that was introduced in Part I (see \cite{BS}). Let be a co…
math.AC2012
Modules Satisfying the Prime Radical Condition and a Sheaf Construction for Modules I
Mahmood Behboodi, Masoud Sabzevari
The purpose of this paper and its sequel, is to introduce a new class of modules over a commutative ring , called -radical modules (modules satisfying the prime…