3 citations · 19 across the 44 of their papers we have counts for
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A Unified Approach to Gelfand and de Vries Dualities
Guram Bezhanishvili, Luca Carai, Patrick Morandi +1
We develop a unified approach to Gelfand and de Vries dualities for compact Hausdorff spaces, which is based on appropriate modifications of the classic results of Dieudonné (analy…
De Vries powers and proximity Specker algebras
G. Bezhanishvili, L. Carai, P. Morandi +1
By de Vries duality [9], the category of compact Hausdorff spaces is dually equivalent to the category of de Vries algebras. In [5] an alternate duality f…
A point-free approach to canonical extensions of boolean algebras and bounded archimedean -algebras
G. Bezhanishvili, L. Carai, P. Morandi
In \cite{BH20} an elegant choice-free construction of a canonical extension of a boolean algebra was given as the boolean algebra of regular open subsets of the Alexandroff top…
The Vietoris functor and modal operators on rings of continuous functions
G. Bezhanishvili, L. Carai, P. Morandi
We introduce an endofunctor on the category of bounded archimedean -algebras and show that there is a dual adjunction between the category of algebras for…
Free bounded archimedean -algebras
Guram Bezhanishvili, Luca Carai, Patrick Morandi
We show that free objects on sets do not exist in the category of bounded archimedean -algebras. On the other hand, we introduce the category of weighted sets and prove…
Specker Algebras: A Survey
Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding
For a commutative ring with identity, a Specker -algebra is a commutative unital -algebra generated by a Boolean algebra of idempotents, each nonzero element of which is…
De Vries powers: a generalization of Boolean powers for compact Hausdorff spaces
Guram Bezhanishvili, Vincenzo Marra, Patrick J. Morandi +1
We generalize the Boolean power construction to the setting of compact Hausdorff spaces. This is done by replacing Boolean algebras with de Vries algebras (complete Boolean algebra…
Idempotent generated algebras and Boolean powers of commutative rings
Guram Bezhanishvili, Vincenzo Marra, Patrick J. Morandi +1
A Boolean power S of a commutative ring R has the structure of a commutative R-algebra, and with respect to this structure, each element of S can be written uniquely as an R-linear…