On the regularity of group algebras
On the relation between maximal rigid objects and τ-tilting modules
This note compares τ-tilting modules and maximal rigid objects in the context of 2-Calabi-Yau triangulated categories. Let be a 2-Calabi-Yau triangulated category with suspension functor S. Let R be a maximal rigid object in and let Γ be the endomorphism algebra of R. Let F be the functor . We prove that any τ-tilting module over Γ lifts uniquely to a maximal rigid object in via F, and in turn, that projection from to mod Γ sends the maximal rigid objects which have no direct summands from add...
On the Represantation Theory of Artinian Rings and Artins Problems on Division Ring Extensions
On the representation type of one point extensions of tame concealed algebras.
On the representation type of tensor product algebras
The representation type of tensor product algebras of finite-dimensional algebras is considered. The characterization of algebras A, B such that A ⊗ B is of tame representation type is given in terms of the Gabriel quivers of the algebras A, B.
On the representation type of triangular matrix algebras over special algebras
On the ring of the variety of algebras over a ring
On the rings on torsion-free groups
On the roots of polynomials over division algebras.
On the semiprimitivity of inverse semigroup algebras and on theorems by Domanov and Munn.
On the singular ideals of inverse semigroup algebras.
On the Splitting by Subalgebras of Algebras with Involution Traces.
On the Steenrod operations in cyclic cohomology.
On the structure of Calabi-Yau categories with a cluster tilting subcategory.
On the Structure of Certain PP-Rings.
On the structure of finite rings
On the structure of indecomposable modules over Artin algebras
On the structure of Jordan *-derivations
On the structure of locally finite pure semisimple Grothendieck categories
On the structure of sequentially Cohen-Macaulay bigraded modules
Let be a field and be the standard bigraded polynomial ring over . In this paper, we explicitly describe the structure of finitely generated bigraded “sequentially Cohen-Macaulay” -modules with respect to . Next, we give a characterization of sequentially Cohen-Macaulay modules with respect to in terms of local cohomology modules. Cohen-Macaulay modules that are sequentially Cohen-Macaulay with respect to are considered.