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By Bodo Pareigis

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Das bedeutet für den Spezialfall eines Vergiß-Funktors 93 von einer algebraischen Kategorie in die Kategorie der Mengen, der eine Mo­ nade ξ) definiert, daß die vorgegebene algebraische Kategorie iso­ morph zur Kategorie der §-Algebren ist. Man kann aber auch zeigen, daß bis auf eine gewisse Einschränkung ein Funktor g : (E -*9Jle von einer Kategorie (E in die Kategorie der Mengen, der monadisch ist, schon isomorph zu einem algebraischen Funktor ist. Insbesondere ist dann (E isomorph zu einer algebraischen Kategorie.

Acad. Sei. USA 50, 869 - 872, 1963. - [3] An elementary theory of the category of sets. Proc. Nat. Acad. Sei. USA 52, 1506 -1511, 1964. : Triples versus theories. Notices Am. Math. Soc. 13, 227, 1966. : A triple miscellany. Dissertation. Wesleyan University. , 1967. : On fundamental constructions and adjoint functors. Canad. Math. Bull. 9, 581 - 591, 1966. : An elementary characterization of the category of (free) relational systems. Math. Ζ. 113, 224 - 232,1970. : [1] Vergessende Funktoren und Ringhomomorphis­ men.

6 1 . Springer 1968. I I I . Lecture Notes Nr. 106. Springer 1969. - IV. Lecture Notes Nr. 137. Springer 1970. : Kategorien I und I I . Heidelberger Taschenbücher Nr. 65 und 66. Springer, Berlin - Heidelberg - New York 1970. : Kategorien von Algebren mit einer Fa­ milie von Grundobjekten. Diplomarbeit Universität Freiburg/Br. 1968. 144 Bodo Pareigis Seminar on Triples and Categorical Homology Theory. Lecture No­ tes Nr. 80. Springer 1969. : [1] Kategorien von Algebren über algebraische Theorien.

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Algebraische Kategorien by Bodo Pareigis

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