TY - JOUR
AU - Cerqueira Berni, Jean
AU - Luiz Mariano, Hugo
PY - 2022/12/19
Y2 - 2024/10/06
TI - A Universal Algebraic Survey of C∞-Rings
JF - Latin American Journal of Mathematics
JA - LAJM
VL - 1
IS - 01
SE - Articles
DO - 10.14244/lajm.v1i01.5
UR - https://www.lajm.ufscar.br/index.php/capa/article/view/5
SP - 8-39
AB - <p>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.</p>
ER -