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math.AC2021★ 1 cited
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…
math.AC2020★ 1 cited
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}).…
math.AC2019
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…