scientific article; zbMATH DE number 7828989

arXiv2110.14280MaRDI QIDQ6125950

Dominique Bourn

Publication date: 9 April 2024

Full work available at URL: https://arxiv.org/abs/2110.14280

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

normalizersequivalence classequivalence relationMal'tsev and protomodular categoriescomprehensive factorizationnormal subobjectinternal categories and groupoidsnon-pointed additive categories

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Special categories (18B99) Categories of algebras (08C05) Algebraic structures (08A99) Definitions and generalizations in theory of categories (18A05) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

Cites Work

• Schreier split epimorphisms between monoids.
• Diagram chasing in Mal'cev categories
• Normalizers and split extensions
• Affine categories and naturally Mal'cev categories
• Normalizers, centralizers and action representability in semi-abelian categories
• Obstruction theory in algebraic categories. I
• On the Naturalness of Mal’tsev Categories
• The comprehensive factorization of a functor
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