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- Algebraically_compact_module abstract "In mathematics, especially in the area of abstract algebra known as module theory, algebraically compact modules, also called pure-injective modules, are modules that have a certain "nice" property which allows the solution of infinite systems of equations in the module by finitary means. The solutions to these systems allow the extension of certain kinds of module homomorphisms. These algebraically compact modules are analogous to injective modules, where one can extend all module homomorphisms. All injective modules are algebraically compact, and the analogy between the two is made quite precise by a category embedding.".
- Algebraically_compact_module wikiPageID "478346".
- Algebraically_compact_module wikiPageRevisionID "405117000".
- Algebraically_compact_module hasPhotoCollection Algebraically_compact_module.
- Algebraically_compact_module subject Category:Abstract_algebra.
- Algebraically_compact_module comment "In mathematics, especially in the area of abstract algebra known as module theory, algebraically compact modules, also called pure-injective modules, are modules that have a certain "nice" property which allows the solution of infinite systems of equations in the module by finitary means. The solutions to these systems allow the extension of certain kinds of module homomorphisms.".
- Algebraically_compact_module label "Algebraically compact module".
- Algebraically_compact_module sameAs m.02fc27.
- Algebraically_compact_module sameAs Q4724027.
- Algebraically_compact_module sameAs Q4724027.
- Algebraically_compact_module wasDerivedFrom Algebraically_compact_module?oldid=405117000.
- Algebraically_compact_module isPrimaryTopicOf Algebraically_compact_module.