The depth of a subalgebra B in an algebra A is a number computed by considering tensor powers of mod

We consider rings over which the injective hulls of simple modules are locally Artinian. We will giv

It is easy to check that the sum of any family of two-sided nil ideals of an associative ring is a n

Given a group G grading a k-linear category \mathcal{C}, a Galois covering of \mathcal{C} has been a

A hypermaps is, in its topological form, a cellular embedding of a connected hypergraph on a compact

Let R be a ring with identity. By a central ideal of R we mean an ideal of R which can be generated

We consider rings whose injective hulls of simple modules are locally Artinian. After a brief discus

Proper classes were introduced by Buchsbaum to axiomatize conditions under which a class of short ex

We introduce a new notion of exact sequences in arbitrary pointed (non-exact) categories. We apply t

The ring of Hurwitz integers, being both a left and a right PID, could be thought of as being arithm