7 citations · 17 across the 16 of their papers we have counts for
19 papers
Cancellation elements in multiplicative lattices
Tiberiu Dumitrescu
We extend to multiplicative lattices a theorem of Anderson and Roitman characterizing the cancellation ideals of a commutative ring.
Divisorial Multiplicative Lattices
Tiberiu Dumitrescu, Mihai Epure
We prove several fundamental results about divisorial integral domains in the setup of multiplicative lattices.
Lifting multiplicative lattices to ideal sytems
Tiberiu Dumitrescu, Mihai Epure, Alexandru Gica
We present a mechanism which lifts a multiplicative lattice to a (weak) ideal system on some monoid.
Kaplansky/Nagata-type theorems for the half factorial domains
Tiberiu Dumitrescu
We give Kaplansky/Nagata-type theorems for the half factorial domains inside the class of atomic domains.
A Schreier type property for modules
Tiberiu Dumitrescu, Mihai Epure
We extend to torsion-free modules over integral domains the theory of (pre)-Schreier domains initiated by Cohn and Zafrullah.
Comaximal Factorization Lattices
Tiberiu Dumitrescu, Mihai Epure
Brewer and Heinzer studied the (integral) domains D having the property that each proper ideal A of D has a comaximal ideal factorization with some additional property. They proved…