Some remarks on free categories and free groupoids. (Einige Bemerkungen über freie Kategorien und freie Gruppoide.) (German) Zbl 0224.18001


18A10 Graphs, diagram schemes, precategories
18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories)
20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms)
05C20 Directed graphs (digraphs), tournaments
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[1] Birkhoff Garrett: On the Structure of Abstract Algebras. Proceedings of the Cambridge Philosophical Society 31, 1935, S. 433-454. · Zbl 0013.00105
[2] Brandt Heinrich: Über eine Verallgemeinerung des Gruppenbegriffes. Mathem. Annalen 96, 1926, S. 360-366. · JFM 52.0110.09
[3] Ehresmann Charles: Structures quotient. Faculté des Sciences de Paris, Séminaire Topologie et Geometrie Différentielle, 1963. · Zbl 0136.25801
[4] Hasse Maria: Einige Bemerkungen über Graphen. Kategorien und Gruppoide. Mathem. Nachrichten 22, 1960, S. 255-270. · Zbl 0104.01702
[5] Hasse Maria, Reichet Horst: Zur algebraischen Begründung der Graphentheorie III. Mathem. Nachrichten
[6] Higgins Philip J.: Algebras with a Scheme of Operators. Mathem. Nachrichten 27, 1963, S. 115-132. · Zbl 0117.25903
[7] Klaua Dieter: Allgemeine Mengenlehre. Akademie-Verlag, Berlin, 1964. · Zbl 0231.04002
[8] Kuroš A. G.: Vorlesungen über allgemeine Algebra. B. G. Teubner Verlagsgesellschaft, Leipzig, 1964.
[9] Rasiowa Helena, Sikorski Roman: The Mathematics of Metamathematics. Monografie Matematyczne, Warschau, 1963. · Zbl 0239.02002
[10] Rédei Ladislaus: Algebra I. Akademische Verlagsgesellschaft, Leipzig, 1959. · Zbl 0092.02901
[11] Stoll Robert R.: Set Theory and Logic. W. H. Freeman and Company, San Francisco and London, 1963. · Zbl 0112.24408
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