Chinese Annals of Mathematics, Series B The Relative Transpose over Cohen-Macaulay
Finite Artin Algebras∗∗ Page 1 Chin. Ann. Math. 30B(3), 2009, 231–238 DOI: 10.1007/s11401-008-0227-2 …

Let R be a left and right Noetherian ring. In this paper, we prove that any Gorenstein
transpose of a finitely generated R-module is exactly an Auslander transpose. As …

Let A and B be Artin R-algebras of finite Cohen-Macaulay type. Then we prove that, if A and
B are standard derived equivalent, then their Cohen-Macaulay Auslander algebras are also …

Derived equivalences for Cohen–Macaulay Auslander algebras Page 1 Journal of
Pure and Applied Algebra 216 (2012) 355–363 Contents lists available at SciVerse …

An artin algebra A is said to be CM-finite if there are only finitely many, up to isomorphisms,
indecomposable finitely generated Gorenstein-projective A-modules. We prove that for a …

Let A be an artin algebra with representation dimension not more than 3. Assuming that AV
is an Auslander generator and M∈ addAV, we show that both findim (EndAM) and findim …

Full article: Generalized Auslander-Reiten Conjecture and Derived Equivalences Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

We prove that for a Frobenius extension, a module over the extension ring is Gorenstein
projective if and only if its underlying module over the base ring is Gorenstein projective. For …

Let A be an artin algebra, mod A the category of finitely generated right A-modules, rad (mod
A) the infinite radical of mod A, and I'A the Auslander-Reiten quiver of A. It is well-known …

MCR Butler has shown that if $\Lambda $ is an artin algebra of finite representation type,
then the almost split sequences generate the relations for the Grothendieck group of …