Coproduct in the category of algebras


by Ulmo
Tags: algebras, category, coproduct
Ulmo
Ulmo is offline
#1
Nov1-11, 06:04 AM
P: 1
Hi

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 Phys.org
SensaBubble: It's a bubble, but not as we know it (w/ video)
The hemihelix: Scientists discover a new shape using rubber bands (w/ video)
Microbes provide insights into evolution of human language

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