Split extensions and semidirect products of unitary magmas

DOI10.14712/1213-7243.2020.001OpenAlexW3106194439MaRDI QIDQ5218971

George Janelidze, Marino Gran, Manuela Sobral

Publication date: 6 March 2020

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02310

zbMATH Keywords

semidirect productsplit extensionfirm split extensionunitary magma

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Categories of algebras (08C05) Sets with a single binary operation (groupoids) (20N02)

Related Items (6)

Split extensions and actions of bialgebras and Hopf algebras ⋮ Intrinsic Schreier special objects ⋮ S-protomodularity of the category of cocommutative bialgebras ⋮ Weakly Schreier extensions for general algebras ⋮ Unnamed Item ⋮ Crossed squares of cocommutative Hopf algebras

Cites Work

• Monoids and pointed \(S\)-protomodular categories
• On the ``Smith is Huq condition in \(S\)-protomodular categories
• The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
• Semidirect products and crossed modules in monoids with operations
• A push forward construction and the comprehensive factorization for internal crossed modules
• Obstruction theory in algebraic categories. I
• Extensions, crossed modules and internal categories in categories of groups with operations
• Semi-abelian categories
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