See also
Biproduct,
Cartesian Product,
Coproduct,
Direct
Product,
Group Direct Product
This entry contributed by Margherita
Barile
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References
Joshi, K. D. "Products and Coproducts." Ch. 8 in Introduction
to General Topology. New Delhi, India: Wiley, pp. 189-216, 1983.Kasch,
F. "Construction of Products and Coproducts." §4.80 in Modules
and Rings. New York: Academic Press, pp. 80-84, 1982.Rowen,
L. "Products and Coproducts." In Ring
Theory, Vol. 1. San Diego, CA: Academic Press, pp. 73-76, 1988.Strooker,
J. R. "Products and Sums." §1.5 in Introduction
to Categories, Homological Algebra and Sheaf Cohomology Cambridge, England:
Cambridge University Press, pp. 14-21, 1978.Referenced on Wolfram|Alpha
Category Product
Cite this as:
Weisstein, Eric W., with contributions by Margherita Barile. "Category Product." From MathWorld--A
Wolfram Resource. https://mathworld.wolfram.com/CategoryProduct.html
Subject classifications
of objects of a category is an object 
, together with a family
of morphisms 
such that for every object 
and every family
of morphisms 
there is a unique morphism 
such that
.
The product is unique up to isomorphisms.
, and 
is the projection onto the 
th factor.
