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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 %.

Anschrift des Verfassers: Prof. Dr. Bodo Pareigis, Mathematisches Institut der Universität, 8 München 13, Schellingstraße 2 - 8 .

PUMPLÜN in den Überblicken Mathematik Band 1 gegebenen Literaturangaben hän­ gen mit den hier behandelten Fragen folgende Veröffentlichungen zusammen: 142 Bodo Pareigis APPELGATE, H. : Model induced adjount functors. Cahiers de topologie et geometrie differentielle X I , 1 - 2 1 , 1969. : [1] Shukla cohomology and triples. J. Algebra 5,222 231,1967. - [2] Harrison cohomology, Hochschild cohomology and triples. Algebra 8, 314-323,1968. : Triples, algebras, and cohomology. Thesis. Columbia University 1967.

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Algebraische Kategorien by Bodo Pareigis


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