In abstract algebra, a module is called a uniform module if the intersection of any two nonzero submodules is nonzero. This is equivalent to saying that...
9 KB (1,349 words) - 00:19, 7 May 2024
simple module is indecomposable, but there are indecomposable modules that are not simple (e.g. uniform modules). Faithful A faithful module M is one...
21 KB (2,941 words) - 15:57, 20 February 2024
abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z-module Q of all rational numbers...
28 KB (3,919 words) - 11:05, 18 May 2024
URL (redirect from Uniform Resourse Locator)
A uniform resource locator (URL), colloquially known as an address on the Web, is a reference to a resource that specifies its location on a computer...
17 KB (2,358 words) - 19:53, 20 June 2024
generated module is a module that has a finite generating set. A finitely generated module over a ring R may also be called a finite R-module, finite over...
19 KB (2,837 words) - 22:51, 25 November 2023
Associated prime (redirect from Coprimary module)
every nonzero module has at least one associated prime. Any uniform module has either zero or one associated primes, making uniform modules an example of...
6 KB (979 words) - 18:00, 6 February 2024
A Uniform Resource Identifier (URI), formerly Universal Resource Identifier, is a unique sequence of characters that identifies an abstract or physical...
37 KB (4,514 words) - 03:27, 22 July 2024
a uniform space is a set with additional structure that is used to define uniform properties, such as completeness, uniform continuity and uniform convergence...
26 KB (4,338 words) - 04:35, 18 July 2024
Endomorphism ring (category Module theory)
ring. The endomorphism ring of an Artinian uniform module is a local ring. The endomorphism ring of a module with finite composition length is a semiprimary...
9 KB (1,208 words) - 00:28, 6 March 2024
topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces that respects uniform properties. Uniform spaces with...
2 KB (245 words) - 19:13, 12 July 2022