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Category equivalences involving graded modules over path algebras of quivers
Category equivalences path algebras of quivers Rings and Algebras
2011/9/14
Abstract: Let kQ be the path algebra of a quiver Q with its standard grading. We show that the category of graded kQ-modules modulo those that are the sum of their finite dimensional submodules, QGr(k...
Augmented Noetherian Graded Modules
Graded Noetherian modules graded rings Augmented graded modules
2010/3/3
Let G be a multiplicative group with identity e, and let R be an associative G-graded ring with unity 1. In this paper we study the augmented graded Noetherian modules and try to give some relationshi...