3 papers
math.AC2024
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.
math.AC2023
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.
math.AC2016
Perinormal rings with zero divisors
Tiberiu Dumitrescu, Anam Rani
We extend to rings with zero-divisors the concept of perinormal domain introduced by N. Epstein and J. Shapiro. A ring is called perinormal if every overring of which satis…