Noetherian module


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Noetherian module

[‚nō·ə¦thir·ē·ən ′mäj·əl]
(mathematics)
A module in which every ascending sequence of submodules has only a finite number of distinct members.
References in periodicals archive ?
Then M is a Noetherian module if and only if every nearly prime submodule of M is finitely generated.
Sanh, "A characterization of Noetherian modules by the class of one-sided strongly prime submodules," Southeast Asian Bulletin of Mathematics, vol.