Induced good gradings of structural matrix rings

Differential Polynomial Rings of Triangular Matrix Rings

On Twin--Good Rings

In this paper, we investigate various kinds of extensions of twin-good rings. Moreover, we prove that every element of an abelian neat ring R is twin-good if and only if R has no factor ring isomorphic to‌ Z2  or Z3. The main result of [24] states some conditions that any right self-injective ring R is twin-good. We extend this result to any regular Baer ring R by proving that every elemen...

Classification of Good Gradings of Simple Lie Algebras

We study and give a complete classification of good Zgradings of all simple finite-dimensional Lie algebras. This problem arose in the quantum Hamiltonian reduction for affine Lie algebras.

On good Z-gradings of basic Lie superalgebras

We discuss the classification of good Z-gradings of basic Lie superalgebras. This problem arose in connection to W -algebras, where good Z-gradings play a role in their construction.

differential polynomial rings of triangular matrix rings