THE OSU-OU Ring Theory Seminar


Speaker: Lakhdar Hammoudi

          Ohio University-Chillicothe


Title:  Combinatorics of words and semigroup algebras which are
       sums of locally nilpotent subalgebras


Day, Date and Time:  Friday, November 7, 4:30 p.m.


Room:  MW 154 (OSU-Columbus campus)


Abstract:We construct new examples of non-nil algebras with any number of
generators, which are direct sums of two locally nilpotent subalgebras.
As all previously known examples, our examples are contracted
semigroup algebras and the underlying semigroups are unions
of locally nilpotent subsemigroups. In our constructions we make more
transparent than in the past the close relationship between the considered
problem and combinatorics of words (joint work with Vesselin Drensky)