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Testing Categories and Strong Universality

Published online by Cambridge University Press:  20 November 2018

J. Sichler
J. Sichler*
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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A category A is binding (or universal) if any full category of algebras is isomorphic to a full subcategory of A. There are many binding categories: the category of all commutative rings with unit and all unit-preserving homomorphisms [1], the category of bounded lattices [2], the category of semigroups [3], the category A(1, 1) of all algebras with two unary fundamental operations and the category of directed graphs [4], the category of all commutative groupoids [11] and many others.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 2 , April 1973 , pp. 370 - 385
Copyright
Copyright © Canadian Mathematical Society 1973

References

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