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By Bodo Pareigis

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Die Verknüpfung ist dieselbe, wie in (£. Es gibt einen Vergiß-FunktorX von der Kategorie & der §-Algebren in die Kategorie (Σ, der jeder $-Algebra (A, a) das Objekt A und jedem $-Algebren-Homomorphismus f den Morphismus f in (£ zuordnet. Außerdem gibt es einen Funktor „freie Algebra S von (£ in die Kategorie & der ^-Algebren, der jedem Objekt A i n d die Algebra (ξ>(Α), μ (Α)) zuordnet und der jedem Morphismus f:A^B in £ den Morphismus %(f) : ξ>(Α) -* ξ)(Β) von §-Algebren zuordnet. 44 Satz 12: Der Funktor „freie Algebra" S: d ( £ isf /m/esadjungiert zu dem Vergiß-Funktor %.

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. Math. Ζ. 93, 265 - 275, 1966. - [2] Kategorien und Funk­ toren. Mathematische Leitfäden.

145. Springer 1970. EILENBERG, S. : Adjoint functors and triples. Illinois J. Math. 9, 381 - 398, 1965. : [1] Adjungierte Funktoren und primitive Klas­ sen. Sitzungsber. d. Heidelberger Akad. d. -nat. K l . 1965, No. 4. — [2] Kennzeichnung von primitiven und quasi­ primitiven Kategorien von Algebren. Archiv Math. 19, 390 397,1968. - [3] Birkhoffsche und kategorische Algebra. Math. Ann. 180, 1 -25,1969. FREI, A. : [1] Coalgebres dans les catego­ ries d'algebres et structures induites par un triple.

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