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:
“Bryan is the least of a liar I know in public life. I have always found him direct and honest, and he never goes back on what he has said to me in privatea rare thing, if found, in public men. I found him purely frank.”
—William Howard Taft (18571930)
“Nor sequent centuries could hit
Orbit and sum of SHAKSPEAREs wit.
The men who lived with him became
Poets, for the air was fame.”
—Ralph Waldo Emerson (18031882)
“If a man do not erect in this age his own tomb ere he dies, he shall live no longer in monument than the bell rings and the widow weeps.”
—William Shakespeare (15641616)