7,556 research outputs found
Koszul Calculus
We present a new calculus which is well-adapted to quadratic algebras. This
calculus consists in Koszul (co)homology, together with Koszul cup and cap
products. Some applications are given. Koszul duality for Koszul (co)homology
is proved for any quadratic algebra.Comment: 40 pages; minor changes; to be published in Glasgow Mathematical
Journa
Homogeneous algebras
Various concepts associated with quadratic algebras admit natural
generalizations when the quadratic algebras are replaced by graded algebras
which are finitely generated in degree 1 with homogeneous relations of degree
N. Such algebras are referred to as {\sl homogeneous algebras of degree N}. In
particular it is shown that the Koszul complexes of quadratic algebras
generalize as N-complexes for homogeneous algebras of degree N.Comment: 24 page
Study on oil refining in the European Community. Executive summary and main report. 5 December 1997
- …