Regular graded algebras and obstructed categories with duality

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dc.creatorDuplij, Steven
dc.creatorMarcinek, Wladyslaw
dc.date2001-07-03
dc.date.accessioned2026-07-07T04:42:27Z
dc.date.available2026-07-07T04:42:27Z
dc.descriptionRegular and higher regular graded algebras (in simplest case satisfying Von Neumann regularity $Θ_{1}Θ_{2}Θ_{1}=Θ_{1}$ 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.
dc.description13 pages, AmSLaTeX (for other formats see http://gluon.physik.uni-kl.de/~duplij)
dc.identifierhttps://arxiv.org/abs/math/0107022
dc.identifierhttp://arxiv.org/abs/math/0107022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61790
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectGeneral Topology
dc.subjectK-Theory and Homology
dc.subjectRings and Algebras
dc.titleRegular graded algebras and obstructed categories with duality
dc.typetext

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