THEORY AND RELATED TOPICS SEMINAR
Roberto Martínez Villa
ABSTRACT: This is joint work with G. Montaño-Bermúdez.
It is well-known that Koszul algebras are quadratic and that
monomial quadratic algebras and quadratic algebras of global dimension
2 are Koszul, however there is no general characterization of Koszul
algebras, hence it is of interest to construct new algebras from given
ones. In this talk we will give sufficient conditions on algebras
R and T and on a T-R bimodule M to have a Koszul algebra of triangular
form: (Aij) with A11=R, A12=0, A21=M, and A22=T.
For further information visit http://www.math.neu.edu/~martsinkovsky/p/rtrt.html or contact Alex Martsinkovsky alexmart >at< neu >dot< edu