2 citations · 2 across the 6 of their papers we have counts for
8 papers
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.
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.
psi-morphisms
Tiberiu Dumitrescu, Mihai Epure
We extend to ring morphisms the recent work of Mohamed Khalifa on PSI-extensions.
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…
A class of multiplicative lattices
Tiberiu Dumitrescu, Mihai Epure
We study the multiplicative lattices L which satisfy the condition a = (a : (a : b))(a : b) for all a,b in L.
A Schreier domain type condition II
Zaheer Ahmad, Tiberiu Dumitrescu, Mihai Epure
For an integral domain D and a star operation * on D, we study the following condition: whenever I>AB with I, A, B nonzero ideals, there exist nonzero ideals H and J such that I*=(…
A Schreier Domain Type Condition
Zaheer Ahmad, Tiberiu Dumitrescu, Mihai Epure
We study the integral domains D satisfying the following condition: whenever I >AB with I,A,B nonzero ideals, there exist ideals A'>A and B'>B such that I=A'B'.