Flat topology on the spectra of quantales
G Georgescu - Fuzzy sets and systems, 2021 - Elsevier
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 …
of a commutative ring; among them, we mention the Zariski topology, the patch topology and …
Algebraic and topological results on lifting properties in residuated lattices
We define lifting properties for universal algebras, which we study in this general context
and then particularize to various such properties in certain classes of algebras. Next we …
and then particularize to various such properties in certain classes of algebras. Next we …
Reticulation functor and the transfer properties
G Georgescu - arXiv preprint arXiv:2205.02174, 2022 - arxiv.org
It is known that by using the commutator operation, for each congruence modular algebra $
A $ one can define a notion of prime congruence. The set $ Spec (A) $ of prime …
A $ one can define a notion of prime congruence. The set $ Spec (A) $ of prime …
Boolean lifting property in quantales
D Cheptea, G Georgescu - Soft computing, 2020 - Springer
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 rings …
rings: clean rings, exchange rings, local and semilocal rings, Gelfand rings, maximal rings …
Congruence Boolean lifting property
G Georgescu, C Mureşan - arXiv preprint arXiv:1502.06907, 2015 - arxiv.org
We introduce and study the Congruence Boolean Lifting Property (CBLP) for congruence--
distributive universal algebras, as well as a property related to CBLP, which we have called …
distributive universal algebras, as well as a property related to CBLP, which we have called …
[PDF][PDF] Weakly clean WUU rings
PV Danchev - Int. J. Algebra.–2017.–11, 2017 - m-hikari.com
Weakly Clean WUU Rings Page 1 International Journal of Algebra, Vol. 11, 2017, no. 1, 9 - 14
HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ija.2017.61277 Weakly Clean WUU …
HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ija.2017.61277 Weakly Clean WUU …
Rings additively generated by idempotents and nilpotents
H Chen, MS Abdolyousefi - Communications in Algebra, 2021 - Taylor & Francis
A ring R is a strongly 2-nil-clean if every element in R is the sum of two idempotents and a
nilpotent that commute. A ring R is feebly clean if every element in R is the sum of two …
nilpotent that commute. A ring R is feebly clean if every element in R is the sum of two …
Flat topology on prime, maximal and minimal prime spectra of quantales
G Georgescu - arXiv preprint arXiv:2006.13029, 2020 - arxiv.org
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 …
of a commutative ring; among them, we mention the Zariski topology, the patch topology and …