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:
“Theres no art
To find the minds construction in the face.”
—William Shakespeare (15641616)
“through the spaces of the dark
Midnight shakes the memory
As a madman shakes a dead geranium.”
—T.S. (Thomas Stearns)
“Instead of seeing society as a collection of clearly defined interest groups, society must be reconceptualized as a complex network of groups of interacting individuals whose membership and communication patterns are seldom confined to one such group alone.”
—Diana Crane (b. 1933)