The maximal quotient rings of regular group rings (III).
We give a new proof of the main result of [1] which does not use the classification of the finite simple groups.
On semifir monoid rings.
We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Furthermore, we construct a monoid that satisfies all the currently known necessary conditions for F[] to be a semifir and that the group of units of is trivial, but is not a directed union of free monoids.
Maximal quotient rings and essential right ideals in group rings of locally finite groups.
Let k be a commutative field. Let G be a locally finite group without elements of order p in case char k = p > 0. In this paper it is proved that the type I part of the maximal right quotient ring of the group algebra kG is zero.
Page 1