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Springer 1969. : [1] Kategorien von Algebren über algebraische Theorien. Diplomarbeit Universität Freiburg/Br. 1967. — [2] Über die Existenz von freien Algebren. Math. Z. 106, 312 - 320, 1968. Anschrift des Verfassers: Prof. Dr. Bodo Pareigis, Mathematisches Institut der Universität, 8 München 13, Schellingstraße 2 - 8 .

Proc. Nat. 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.

Universelle Einhüllende einer Jordan-Algebra: von der Kategorie der k-Jordan-Algebren in die Kategorie der assozia­ tiven, unitären k-Algebren. Monoid-Ring: von der Kategorie der Monoide in die Kate­ gorie der assoziativen, unitären Ringe. Grundringerweiterung: von der Kategorie der fc-Moduln bzw. fe-Algebren in die Kategorie der k '-Moduln bzw. k '-Al­ gebren. Kommutative Polynomalgebra: von der Kategorie der Mengen in die Kategorie, der assoziativen, kommutativen, unitären fe-Algebren. Wir rechnen hier nicht nach, daß die genannten Funktoren wirklich linksadjungiert zu den entsprechenden algebraischen Funktoren sind.

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Algebraische Kategorien by Bodo Pareigis


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