Algebras whose Euler form is non-negative
Almost split sequences and module categories: A complementary view to Auslander-Reiten Theory
We take a complementary view to the Auslander-Reiten trend of thought: Instead of specializing a module category to the level where the existence of an almost split sequence is inferred, we explore the structural consequences that result if we assume the existence of a single almost split sequence under the most general conditions. We characterize the structure of the bimodule with an underlying ring solely assuming that there exists an almost split sequence of left -modules . and are...
An alternate criterion of colocalized-localized modules.
The aim of this note is to express a module which is localized as well as colocalized in terms of an object of an intersecting subcategory related to static modules.
An example of two von Neumann regular rings with nonisomorphic Monta equivalent multiplicative semigroups.
An explicit construction for the Happel functor
An easy explicit construction is given for a full and faithful functor from the bounded derived category of modules over an associative algebra A to the stable category of the repetitive algebra of A. This construction simplifies the one given by Happel.
Auslander-Reiten components for concealed-canonical algebras
Auslander-Reiten triangles in derived categories.