Kinds of Algebras and Examples
Algebras over fields come in many different types. These types are specified by insisting on some further axioms, such as commutativity or associativity of the multiplication operation, which are not required in the broad definition of an algebra. The theories corresponding to the different types of algebras are often very different.
Read more about this topic: Algebra Over A Field
Famous quotes containing the words kinds of, kinds and/or examples:
“There are three kinds of lies: lies, damned lies and statistics.”
—Benjamin Disraeli (18041881)
“Two kinds of blindness are easily combined so that those who do not see really appear to see what is not.”
—Tertullian (c. 150230)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold peoples attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)