scientific article; zbMATH DE number 1247811

zbMath0915.18002MaRDI QIDQ4227975

Alex Patchkoria

Publication date: 27 April 1999

Full work available at URL: https://eudml.org/doc/48161

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zbMATH Keywords

monoidcrossed semimoduleSchreier conditionSchreier internal category

Mathematics Subject Classification ID

Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

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Split extensions and actions of bialgebras and Hopf algebras ⋮ Baer sums of special Schreier extensions of monoids ⋮ Cancellative conjugation semigroups and monoids ⋮ Intrinsic Schreier split extensions ⋮ Intrinsic Schreier special objects ⋮ Some notes on crossed semimodules ⋮ Weakly Schreier extensions for general algebras ⋮ A characterization of weakly Schreier extensions of monoids ⋮ Crossed modules of monoids. II: Relative crossed modules ⋮ Semidirect products and crossed modules in monoids with operations ⋮ The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations ⋮ On the ``Smith is Huq condition in \(S\)-protomodular categories ⋮ On the categorical behaviour of preordered groups ⋮ Crossed modules of monoids. I: Relative categories ⋮ Schreier split extensions of preordered monoids ⋮ Crossed modules of monoids III. Simplicial monoids of Moore length 1 ⋮ Schreier split epimorphisms between monoids. ⋮ Crossed semimodules of categories and Schreier 2-categories ⋮ Split extensions and semidirect products of unitary magmas ⋮ Cat¹-Hopf Algebras and Crossed Modules ⋮ Actor of a crossed module of dialgebras via tetramultipliers ⋮ Derived crossed modules

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