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math.AC2011★ 8 cited
Finitistic Extension Degree
Kosmas Diveris
We introduce the finitistic extension degree of a ring and investigate rings for which it is finite. The Auslander-Reiten Conjecture is proved for rings of finite finitistic extens…
math.RT2011★ 8 cited
A Generalization of the Auslander-Reiten Conjecture for the Bounded Derived Category
Kosmas Diveris, Marju Purin
We study the bounded derived category $\D^b(\Rmod)$ of a left Noetherian ring . We give a version of the Generalized Auslander-Reiten Conjecture for $\D^b(\Rmod)$ that is equiva…