simple modules over a ring R are the (left or right) modules over R that are non-zero and have no non-zero proper submodules. Equivalently, a module M...
9 KB (1,345 words) - 07:14, 10 May 2024
mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a ring. The concept of module also generalizes...
21 KB (2,941 words) - 13:38, 7 August 2024
Indecomposable is a weaker notion than simple module (which is also sometimes called irreducible module): simple means "no proper submodule" N < M, while...
5 KB (705 words) - 22:27, 28 October 2023
area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from...
10 KB (1,249 words) - 10:12, 18 February 2024
Semi-simplicity (redirect from Completely-reducible module)
trivial module 0 is semi-simple, but not simple). For an R-module M, M is semi-simple if and only if it is the direct sum of simple modules (the trivial...
13 KB (1,867 words) - 10:13, 18 February 2024
The Apollo command and service module (CSM) was one of two principal components of the United States Apollo spacecraft, used for the Apollo program, which...
74 KB (7,757 words) - 04:23, 20 August 2024
A/0 Modules/Async/A Modules/AsynchronousDefinition Modules/LoaderPlugin Modules/Resources Modules/SimpleAsynchronous Modules/Transport/B,C,D,E Modules/Wrappings...
10 KB (963 words) - 15:25, 11 June 2024
Composition series (category Module theory)
structure, such as a group or a module, into simple pieces. The need for considering composition series in the context of modules arises from the fact that...
9 KB (1,330 words) - 14:39, 15 May 2024
Solar panel (redirect from Solar module)
panels are also known as solar cell panels, solar electric panels, or PV modules. Solar panels are usually arranged in groups called arrays or systems....
74 KB (8,429 words) - 09:09, 7 September 2024
a graphics module for simple hardware acceleration of 2D computer graphics which includes text rendering using FreeType, an audio module that uses OpenAL...
22 KB (1,398 words) - 05:14, 29 July 2024