An Invitation to Topological Semi-abelian Algebras

DOI10.1007/978-3-030-84319-9_2zbMath1480.18008OpenAlexW3206978844MaRDI QIDQ5861648

Maria Manuel Clementino

Publication date: 1 March 2022

Published in: New Perspectives in Algebra, Topology and Categories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-84319-9_2

zbMATH Keywords

semidirect productstopological algebrassemi-abelian theoriessplit extension classifiers

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Barrelled spaces, bornological spaces (46A08) Theories (e.g., algebraic theories), structure, and semantics (18C10) Products, amalgamated products, and other kinds of limits and colimits (08B25) Other topological algebraic systems and their representations (22A30) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

Related Items

On split extensions of preordered groups, An Introduction to Regular Categories

Cites Work

• Semidirect products of (topological) semi-abelian algebras
• Topological semi-abelian algebras
• Protolocalisations of homological categories
• Some remarks on Maltsev and Goursat categories
• Algebraic exponentiation in general categories
• Topological groups have representable actions
• On algebraic and more general categories whose split epimorphisms have underlying product projections
• Topological protomodular algebras
• From Groups to Categorial Algebra
• Groups with Multiple Operators
• Algebraically coherent categories
• An Introduction to Regular Categories
• Semi-abelian categories
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