Homogeneous algebras

Details Homogeneous algebras Homogeneous algebras

2002-03-05

arxiv.org/abs/math/0203035v1

Mathematics

Quantum Algebra

24 pages

Scientific paper

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.

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