Definition:Maximal Condition on Submodules
Jump to navigation Jump to search
Let $A$ be a commutative ring with unity.
Let $M$ be an $A$-module.
Then the hypothesis:
is called the maximal condition on submodules.
- Definition:Ascending Chain Condition
- Definition:Noetherian Module
- Increasing Sequence in Ordered Set Terminates iff Maximal Element
|There are no source works cited for this page.|
Source citations are highly desirable, and mandatory for all definition pages.
Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted.
To discuss this page in more detail, feel free to use the talk page.