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A Categorical setting for Determinants and Traces

Published online by Cambridge University Press:  22 January 2016

Helmut Röhrl
Helmut Röhrl*
Affiliation:
University of California, San Diego, and Princeton University
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The aim of this paper is to investigate some applications of a certain universal problem. The universal problem deals with categories C which for every object A have some ‘‘structure” on the set C(A, A) of endomorphisms of A and calls for a universal solution, relative to this structure, that is associated with C(A, A) and centralizes the set of automorphisms of A. The commutative version of this universal problem asks for a universal solution, relative to the said structure, that abelianizes the canonical monoid structure of C(A, A).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 34 , March 1969 , pp. 35 - 76
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1969

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