Regular graded algebras and obstructed categories with duality

Details Regular graded algebras and obstructed categories with duality Regular graded algebras and obstructed categories with duality

2001-07-03

arxiv.org/abs/math/0107022v1

Mathematics

Quantum Algebra

13 pages, AmSLaTeX (for other formats see http://gluon.physik.uni-kl.de/~duplij)

Scientific paper

Regular and higher regular graded algebras (in simplest case satisfying Von Neumann regularity $\Theta_{1}\Theta_{2}\Theta_{1}=\Theta_{1}$ instead of anticommutativity) are introduced and their properties are studied. They are described in terms of obstructed categories with nonclosed invertible and noninvertible morphisms for which generalized (obstructed) functors and natural transformations are given. Regular algebras and bialgebras are considered with examples. Corresponding regularizations of the cross product and Wick algebras are made.

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