We introduce a new function from the bounded derived category of a finite dimensional
algebra over a field to the set of all natural numbers, which is a generalized version of the …

The representation dimension of a selfinjective algebra of euclidean type - ScienceDirect
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Let Λ be an artin algebra and let M1 and M2 be generator–cogenerators for modΛ, such that
the global dimension of their endomorphism ring is finite. We characterize tilting modules of …

The calculus of structures is a proof theoretical formalism which generalizes sequent
calculus with the feature of deep inference: in contrast to sequent calculus, the calculus of …

Let R be a ring and 𝒬 be a finite quiver. We give an explicit formula for the injective
envelopes and projective precovers in the category Rep (𝒬 I, R) of bound representations of …

Let A be a finite dimensional k-algebra and P a 2-term silting complex in K b (proj A). In this
article, we investigate the representation dimension of End D b (A)(P) by the silting theory …

arXiv:1202.0379v1 [math.RT] 2 Feb 2012 Page 1 arXiv:1202.0379v1 [math.RT] 2 Feb 2012 ON
THE DIMENSIONS OF PATH ALGEBRAS JAVAD ASADOLLAHI AND RASOOL HAFEZI …

We prove that for a left and right Noetherian ring $ R $, $ _RR $ satisfies the Auslander
condition if and only if so does every flat left $ R $-module, if and only if the injective …

Stable equivalences are studied between any finite dimensional algebra A with a simple
projective module and a simple injective module and an algebra B obtained from A by …

Auslander has shown that an algebra is of finite representation type, that is, it admits only
finitely many indecomposable modules up to isomorphism, if and only if its representation …