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A Universal Algebraic Survey of C∞-Rings

Authors

Jean Cerqueira Berni Instituto de Matemática e Estatística da Universidade de São Paulo - IME-USP
Hugo Luiz Mariano Instituto de Matemática e Estatística da Universidade de São Paulo, IME-USP

DOI:

https://doi.org/10.14244/lajm.v1i01.5

Keywords:

C∞−rings, Algebraic constructions

Abstract

This survey brings a detailed and systematic exposition of some fundamental results regarding the
Universal Algebra of C∞−rings. Some of these were nowhere to be found – stated or proved – in
the current literature. Our main contribution is to bundle these results up in a single text, using
the unifying language of Universal Algebra and referring the reader to detailed proofs. Such a
presentation is inspired by the treatment given by D. Joyce in [1] to some concepts involving these
rings. Thus, we provide a comprehensive material with many known “taken for granted” results and
constructions used everywhere in the literature about C∞−rings and their applications, providing a
“propaedeutic exposition” for the reader’s benefit.

Published

12/16/2022

Versions

12/19/2022 (2)
12/16/2022 (1)

How to Cite

[1]

Cerqueira Berni, J. and Luiz Mariano, H. 2022. A Universal Algebraic Survey of C∞-Rings. Latin American Journal of Mathematics. 1, 01 (Dec. 2022), 8–39. DOI:https://doi.org/10.14244/lajm.v1i01.5.

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Issue

Vol. 1 No. 01 (2022): LAJM

Section

Articles

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