5 citations · 12 across the 7 of their papers we have counts for
7 papers
Classification of Boolean Algebras through von Neumann regular Rings
Jean Cerqueira Berni, Hugo Luiz Mariano
In this paper, we introduce the concept of a "von Neumann regular -ring", which is a model for a specific equational theory. We delve into the characteristics…
Separation Theorems in Smooth Commutative Algebra and Applications
Jean Cerqueira Berni, Hugo Luiz Mariano
In this paper we state and prove ad hoc "Separation Theorems" of the so-called Smooth Commutative Algebra, the Commutative Algebra of \(\mathcal{C}^{\infty}-\)rings. These results…
On the order theory for -reduced -Rings and applications
Jean Cerqueira Berni, Rodrigo Figueiredo, Hugo Luiz Mariano
In the present work we carry on the study of the order theory for (-reduced) -rings initiated in \cite{rings1} (see also \cite{BM2}).…
Von Neumann Regular Rings and Applications
Jean Cerqueira Berni, Hugo Luiz Mariano
In this paper we present the notion of a von Neumann regular ring, we prove some results about them and we describe some of their properties. We prove, using…
A Universal Algebraic Survey of Rings
Jean Cerqueira Berni, Hugo Luiz Mariano
In this paper we present some basic results of the Universal Algebra of -rings which were nowhere to be found in the current literature. The outstanding book of…
Topics on Smooth Commutative Algebra
Jean Cerqueira Berni, Hugo Luiz Mariano
We present, in the same vein as in [20] and [21], some results of the so-called "Smooth (or ) Commutative Algebra", a version of Commutative Algebra of $\mathca…
Classifying toposes for some theories of rings
Jean Cerqueira Berni, Hugo Luiz Mariano
In this paper we present classifying toposes for the following theories: the theory of rings, the theory of local rings and the theory…