Associative rings and algebras Modules and ideals Concept
Socle of a module
Summary
The socle of a module is the sum of all its simple submodules. It is the largest semisimple submodule of the module. It measures the part of a module that is built directly from simple pieces. It is a basic tool in the study of Artinian rings and injective modules.
Further reading
About this page
| Tag | S2KXCAH5MM |
|---|---|
| URI | m2://S2KXCAH5MM |
| Kind | concept |
| Writing | W0 stub |
| MSC | 16D60, 16D70 |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.