Direct Sum of Rings
Given a finite family of rings R1, ..., Rn, the direct product of the Ri is sometimes called the direct sum.
Note that in the category of commutative rings, the direct sum is not the coproduct. Instead, the coproduct is the tensor product of rings.
Read more about this topic: Direct Sum
Famous quotes containing the words direct, sum and/or rings:
“In Europe life is histrionic and dramatized, and ... in America, except when it is trying to be European, it is direct and sincere.”
—William Dean Howells (18371920)
“They are but beggars that can count their worth,
But my true love is grown to such excess
I cannot sum up sum of half my wealth.”
—William Shakespeare (15641616)
“She has got rings on every finger,
Round one of them she have got three.
She have gold enough around her middle
To buy Northumberland that belongs to thee.”
—Unknown. Young Beichan (l. 6164)