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#4 Noetherian module: Definition from Answers.com
Noetherian module ( ′nōə¦thirēən ′mäjəl ) ( mathematics ) A module in which every ascending sequence of submodules has only a finite number of
www.answers.com/topic/noetherian-module

#5 Monoids and Categories of Noetherian Modules
of Noetherian Modules. A Dissertation submitted in partial satisfaction ... Direct Sum Cancellation of Noetherian Modules, accepted by the Journal of Algebra, ...
www.calstatela.edu/faculty/gbrookf/pubs/thesis.pdf

#6 PlanetMath: Noetherian module
criterion for a module to be noetherian (Theorem) by mps. Log in to rate ... This is version 19 of Noetherian module, born on 2001-10-15, modified 2007-11-30. ...
planetmath.org/encyclopedia/Noetherian4.html

#7 Quotient Modules are Noetherian/Artinian
Math reference, the image of a noetherian module is noetherian. ... ( If R is not commutative, assume it is left noetherian, and work with left modules. ...
www.mathreference.com/mod-acc,quot.html

#8 Noetherian Rings and Modules
Noetherian Rings and Modules. Let be a commutative ring with unit element. ... Properties of noetherian rings and modules will be crucial in the rest of this course. ...
modular.math.washington.edu/books/ant/ant/node11.html

#9 DIRECT SUM CANCELLATION OF NOETHERIAN MODULES
Let A, B and C be modules over a unital ring R such that C is. Noetherian and AC ... (1) Kdim(A) exists for any Noetherian module A. ...
www.calstatela.edu/faculty/gbrookf/pubs/paper.pdf

#10 Artinian module - Wikipedia, the free encyclopedia
Like Noetherian modules, Artinian modules enjoy the following heredity property: ... is also Noetherian, but over noncommutative rings cyclic Artinian modules can ...
en.wikipedia.org/wiki/Artinian_module

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