Frattini subobjects and extensions in semi-abelian categories

DOI10.1007/S41980-018-0020-2zbMath1409.18001OpenAlexW2787079206WikidataQ130179760 ScholiaQ130179760MaRDI QIDQ1734034

George Janelidze

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0020-2

zbMATH Keywords

semi-abelian categoryHoehnke radicalFrattini extension

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Torsion theories, radicals (18E40) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (1)

Non-generators in complete lattices and semilattices

Cites Work

• Maximal Frattini extensions
• Mal'cev varieties
• Galois theory and a general notion of central extension
• Central extensions in semi-abelian categories
• A categorical approach to commutator theory
• On the second cohomology group in semi-abelian categories
• Sous-catégories réflexives et la théorie générale des radicaux
• Algebra
• Radikale in allgemeinen Algebren
• COMMUTATOR, NILPOTENCY, AND SOLVABILITY IN CATEGORIES
• The Frattini Subalgebra of a Lie Algebra
• On the Frattini Subalgebra of a Lie Algebra
• Submodules, Subalgebras and Ideals in Finite Modules or Nilpotent Algebras Over Dedekind Domains
• A Frattini Theory for Algebras
• \(3\times 3\) lemma and protomodularity
• Semi-abelian categories
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