On Bernstein-Gelfand-Gelfand equivalence and tilting theory
On equivalence of graded rings.
On graded algebra bundles.
On induced modules over strongly group-graded algebras.
On regular semigroup rings.
On semigroup graded PI-algebras.
On the category of commutative connected graded Hopf algebras over a perfect field
On the Jacobson radical of graded rings.
On the Jacobson radical of graded rings
All commutative semigroups are described such that the Jacobson radical is homogeneous in each ring graded by .
On the Jacobson radical of strongly group graded rings
For any non-torsion group with identity , we construct a strongly -graded ring such that the Jacobson radical is locally nilpotent, but is not locally nilpotent. This answers a question posed by Puczyłowski.
On the object-wise tensor product of functors to modules.
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.