3 citations · 4 across the 3 of their papers we have counts for
7 papers
Reticulation functor and the transfer properties
George Georgescu
It is known that by using the commutator operation, for each congruence modular algebra one can define a notion of prime congruence. The set of prime congruences of $…
New Results on Congruence Boolean Lifting Property
George Georgescu
The Lifting Idempotent Property () of ideals in commutative rings inspired the study of Boolean lifting properties in the context of other concrete algebraic structures (-…
Flat topology on prime, maximal and minimal prime spectra of quantales
George Georgescu
Several topologies can be defined on the prime, the maximal and the minimal prime spectra of a commutative ring; among them, we mention the Zariski topology, the patch topology and…
Reticulation of a quantale, pure elements and new transfer properties
George Georgescu
We know from a previous paper that the reticulation of a coherent quantale is a bounded distributive lattice whose prime spectrum is homeomorphic to - prime spectrum…
Functorial Properties of the Reticulation of a Universal Algebra
George Georgescu, Leonard Kwuida, Claudia Mureşan
The {\em reticulation} of an algebra is a bounded distributive lattice whose prime spectrum of ideals (or filters), endowed with the Stone topology, is homeomorphic to the prim…
Boolean lifting property in quantales
Daniela Cheptea, George Georgescu
In ring theory, the lifting idempotent property (LIP) is related to some important classes of rings: clean rings, exchange rings, local and semilocal rings, Gelfand rings,maximal r…