We prove that an artin algebra is of finite representation type if and only if almost all finitely
generated indecomposable-modules are cycle-finite. Moreover, we prove that every cycle …

EUDML | Cycle-finite algebras with almost all indecomposable modules of projective or
injective dimension at most one Skip to main content (access key 's'), Skip to navigation (access …

In this article we describe the structure of artin algebras A for which any cycle of
indecomposable finitely generated (right) A-modules is finite and almost all indecomposable …

We solve a long standing open problem concerning the structure of finite cycles in the
category mod A of finitely generated modules over an arbitrary artin algebra A, that is, the …

Cycle-finite algebras of semiregular typeAll logo sign_in Unia Europejska A+ CATEGORY
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We characterize the finiteness of the representation type of an artin algebra in terms of the
behavior of the projective covers and the injective envelopes of the simple modules with …

MODULES NOT BEING THE MIDDLE OF SHORT CHAINS Page 1 The Quarterly Journal of
Mathematics Advance Access published on December 23, 2012 Quart. J. Math. 64 (2013) …

Full article: Cycle-Finite Algebras with Finitely Many τ-Rigid Indecomposable Modules Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

We give an alternative proof to the fact that, if the square of the infinite radical of the module
category of an Artin algebra is equal to zero, then the algebra is of finite type by making use …

Let A be an artin algebra over a commutative artin ring R, mod A be the category of finitely
generated right A-modules, and rad∞(modA) be the infinite power of the Jacobson radical …