Radicals Coinciding with the Von Neumann Regular Radical on Artinian Rings.
Representation-finite biserial algebras.
Right pure semisimple -hereditary -rings
Ring elements as sums of units
In an Artinian ring R every element of R can be expressed as the sum of two units if and only if R/J(R) does not contain a summand isomorphic to the field with two elements. This result is used to describe those finite rings R for which Γ(R) contains a Hamiltonian cycle where Γ(R) is the (simple) graph defined on the elements of R with an edge between vertices r and s if and only if r - s is invertible. It is also shown that for an Artinian ring R the number of connected components of the graph...
Ringe mit verallgemeinerter Kupischreihe. II.
Rings with indecomposable modules local.