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- Length_of_a_module abstract "In abstract algebra, the length of a module is a measure of the module's "size". It is defined to be the length of the longest chain of submodules and is a generalization of the concept of dimension for vector spaces. Modules with finite length share many important properties with finite-dimensional vector spaces.Other concepts used to 'count' in ring and module theory are depth and height; these are both somewhat more subtle to define. There are also various ideas of dimension that are useful. Finite length commutative rings play an essential role in functorial treatments of formal algebraic geometry.".
- Length_of_a_module wikiPageID "816070".
- Length_of_a_module wikiPageRevisionID "565414733".
- Length_of_a_module hasPhotoCollection Length_of_a_module.
- Length_of_a_module subject Category:Module_theory.
- Length_of_a_module comment "In abstract algebra, the length of a module is a measure of the module's "size". It is defined to be the length of the longest chain of submodules and is a generalization of the concept of dimension for vector spaces. Modules with finite length share many important properties with finite-dimensional vector spaces.Other concepts used to 'count' in ring and module theory are depth and height; these are both somewhat more subtle to define. There are also various ideas of dimension that are useful.".
- Length_of_a_module label "Length of a module".
- Length_of_a_module label "Longueur d'un module".
- Length_of_a_module label "Lunghezza di un modulo".
- Length_of_a_module label "Länge (Algebra)".
- Length_of_a_module label "Длина модуля".
- Length_of_a_module label "長度 (模論)".
- Length_of_a_module sameAs Länge_(Algebra).
- Length_of_a_module sameAs Longueur_d'un_module.
- Length_of_a_module sameAs Lunghezza_di_un_modulo.
- Length_of_a_module sameAs m.03dv3n.
- Length_of_a_module sameAs Q1761084.
- Length_of_a_module sameAs Q1761084.
- Length_of_a_module wasDerivedFrom Length_of_a_module?oldid=565414733.
- Length_of_a_module isPrimaryTopicOf Length_of_a_module.