New perspectives in algebra, topology and categories : Summer School, Louvain-la-Neuve, Belgium, September 12-15, 2018 and September 11-14, 2019 / Maria Manuel Clementino, Alberto Facchini, Marino Gran, editors.
2021
QA150
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Title
New perspectives in algebra, topology and categories : Summer School, Louvain-la-Neuve, Belgium, September 12-15, 2018 and September 11-14, 2019 / Maria Manuel Clementino, Alberto Facchini, Marino Gran, editors.
ISBN
9783030843199 (electronic bk.)
303084319X (electronic bk.)
3030843181
9783030843182
303084319X (electronic bk.)
3030843181
9783030843182
Publication Details
Cham, Switzerland : Springer, 2021.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-84319-9 doi
Call Number
QA150
Dewey Decimal Classification
512
Summary
This book provides an introduction to some key subjects in algebra and topology. It consists of comprehensive texts of some hours courses on the preliminaries for several advanced theories in (categorical) algebra and topology. Often, this kind of presentations is not so easy to find in the literature, where one begins articles by assuming a lot of knowledge in the field. This volume can both help young researchers to quickly get into the subject by offering a kind of "roadmap" and also help master students to be aware of the basics of other research directions in these fields before deciding to specialize in one of them. Furthermore, it can be used by established researchers who need a particular result for their own research and do not want to go through several research papers in order to understand a single proof. Although the chapters can be read as "self-contained" chapters, the authors have tried to coordinate the texts in order to make them complementary. The seven chapters of this volume correspond to the seven courses taught in two Summer Schools that took place in Louvain-la-Neuve in the frame of the project Fonds dppui à l'internationalisation of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.
Bibliography, etc. Note
Includes bibliographical references.
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Digital File Characteristics
text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed October 21, 2021).
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Series
Coimbra mathematical texts ; v. 1
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Table of Contents
Rings, epimorphisms, Gabriel topologies and contramodules
An invitation to topological semi-abelian algebras
Commutative monoids, noncommutative rings and modules
An introduction to regular categories
Categorical commutator theory
Notes on point-free topology
Non-associative algebra.
An invitation to topological semi-abelian algebras
Commutative monoids, noncommutative rings and modules
An introduction to regular categories
Categorical commutator theory
Notes on point-free topology
Non-associative algebra.