On the countability of Noetherian dimension of modules

OAS Karamzadeh, N Shirali - Communications in Algebra, 2004 - Taylor & Francis
It is shown that a module M has countable Noetherian dimension if and only if the lengths of
ascending chains of submodules of M has a countable upper bound. This shows in …

[PDF][PDF] On the Countability of Noetherian Dimension of Modules

OAS Karamzadeh, N Shirali - COMMUNICATIONS IN ALGEBRA, 2004 - researchgate.net
It is shown that a module M has countable Noetherian dimension if and only if the lengths of
ascending chains of submodules of M has a countable upper bound. This shows in …