2001/07/03 by Steven Duplij, Duplij, Steven, Wladyslaw Marcinek +2
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #General Topology (math.GN) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #hep-th #math-ph #math.GN #math.KT #math.MP #math.QA #math.RA
paper · pdf · doi:10.48550/arxiv.math/0107022
13 pages, AmSLaTeX (for other formats see http://gluon.physik.uni-kl.de/~duplij)
arxiv created 2001/07/03 · openalex publication_date 2001/07/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Regular and higher regular graded algebras (in simplest case satisfying Von Neumann regularity Θ1Θ2Θ1=Θ1 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.