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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

The Baer sum functor and algebraic $ K$-theory


Author: Irwin S. Pressman
Journal: Trans. Amer. Math. Soc. 162 (1971), 273-286
MSC: Primary 18.10
MathSciNet review: 0283048
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Abstract: The Baer sum operation can be described in such a way that it becomes a functorial product on categories of exact sequences of a fixed length. This product is proven to be coherently associative and commutative. The Grothendieck groups and Whitehead groups of some of these categories are computed.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1971-0283048-6
PII: S 0002-9947(1971)0283048-6
Keywords: Algebraic K-theory, Baer sum, category of fractions, coherent functor, counit, unit, Grothendieck group, Whitehead group, short exact sequence, selective abelian category, pullback, pushout
Article copyright: © Copyright 1971 American Mathematical Society