Construction For Vector Spaces and Abelian Groups
We give the construction first in these two cases, under the assumption that we have only two objects. Then we generalise to an arbitrary family of arbitrary modules. The key elements of the general construction are more clearly identified by considering these two cases in depth.
Read more about this topic: Direct Sum Of Modules
Famous quotes containing the words construction, spaces and/or groups:
“No construction stiff working overtime takes more stress and straining than we did just to stay high.”
—Gus Van Sant, U.S. screenwriter and director, and Dan Yost. Bob Hughes (Matt Dillon)
“Every true man is a cause, a country, and an age; requires infinite spaces and numbers and time fully to accomplish his design;and posterity seem to follow his steps as a train of clients.”
—Ralph Waldo Emerson (18031882)
“Women over fifty already form one of the largest groups in the population structure of the western world. As long as they like themselves, they will not be an oppressed minority. In order to like themselves they must reject trivialization by others of who and what they are. A grown woman should not have to masquerade as a girl in order to remain in the land of the living.”
—Germaine Greer (b. 1939)