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＜E-Book＞
New Perspectives in Algebra, Topology and Categories : Summer School, Louvain-la-Neuve, Belgium, September 12-15, 2018 and September 11-14, 2019 / edited by Maria Manuel Clementino, Alberto Facchini, Marino Gran
(Coimbra Mathematical Texts. ISSN:28130065 ; 1)

Edition	1st ed. 2021.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2021
Size	XI, 258 p. 21 illus : online resource
Authors	Clementino, Maria Manuel editor Facchini, Alberto editor Gran, Marino editor SpringerLink (Online service)
Subjects	LCSH:Algebra LCSH:Nonassociative rings LCSH:Algebra, Homological LCSH:Topological groups LCSH:Lie groups LCSH:Topology FREE:Algebra FREE:Non-associative Rings and Algebras FREE:Category Theory, Homological Algebra FREE:Topological Groups and Lie Groups FREE:Order, Lattices, Ordered Algebraic Structures FREE:Topology
Notes	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 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 d’Appui 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 HTTP:URL=https://doi.org/10.1007/978-3-030-84319-9

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