Register to reply

Coproduct in the category of algebras

by Ulmo
Tags: algebras, category, coproduct
Share this thread:
Nov1-11, 06:04 AM
P: 1

I've tried searching the web for information on how to construct the coproduct in the category of (noncommutative) algebras over a ring. I know that in the commutative case it is the tensor product, but I've been told that there exists a general construction as well, akin to the free product of groups (at least in some cases).

Can anyone help me with this?
Phys.Org News Partner Science news on
FIXD tells car drivers via smartphone what is wrong
Team pioneers strategy for creating new materials
Team defines new biodiversity metric

Register to reply

Related Discussions
Coproduct , direct sum Linear & Abstract Algebra 1
Coproduct , direct sum Set Theory, Logic, Probability, Statistics 0
Category theory : product and coproduct Set Theory, Logic, Probability, Statistics 1
Algebras generated as commutative algebras. Calculus & Beyond Homework 2
Prove there are exactly 4 non-isomorphic algebras among algebras Af Calculus & Beyond Homework 0