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On categories of structures and classes of algebras

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Jeżek J.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 1. Introduction and preliminaries.............................................................................. 5 2. Pre-scategories and scategories......................................................................... 6 3. Scategorization......................................................................................................... 8 4. Abstract scategories................................................................................................ 9 5. Substructures and products of structures........................................................... 9 6. Rich scategories...................................................................................................... 11 7. Locally small, bounded and regular scategories.............................................. 14 8. Free structures.......................................................................................................... 15 9. ϑ-ary acategories and scategories with (ϑ, ϰ)-ary morphisms....................... 17 10. Scategories closed in themselves..................................................................... 18 11. Additive scategories.............................................................................................. 19 12. Scategories with divisible morphisms.............................................................. 21 13. Quasi-algebras and algebras............................................................................. 21 14. A characterisation of some classes of quasi-algebras................................. 23 15. A characterization of S, P-closed classes of algebras................................... 27 References.................................................................................................................... 30

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1 Jeżek J.

1 1970

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On categories of structures and classes of algebras