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math.QA2001
Regular graded algebras and obstructed categories with duality
Steven Duplij, Wladyslaw Marcinek
Regular and higher regular graded algebras (in simplest case satisfying Von Neumann regularity instead of anticommutativity) are introduced and their proper…
math.CT2001
n-Categories Admissible by n-graph
Zbigniew Oziewicz, Wladyslaw Marcinek
The concept of n-categories and related subject is considered. An n-category is described as an n-graph with a composition. A new definition of operad is presented. Some illustrati…