19 citations · 35 across the 4 of their papers we have counts for
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math-ph2000
Noninvertibility, semisupermanifolds and categories regularization
Steven Duplij, Wladyslaw Marcinek
The categories with noninvertible morphisms are studied analogously to the semisupermanifolds with noninvertible transition functions. The concepts of regular n-cycles, obstruction…
math-ph2000
Higher regularity properties of mappings and morphisms
Steven Duplij, Wladyslaw Marcinek
We propose to extend ``invertibility'' to ``regularity'' for categories in general abstract algebraic manner. Higher regularity conditions and ``semicommutative'' diagrams are intr…
math-ph1999
Semigroup Methods In Supersymmetric Theories Of Elementary Particles
Steven Duplij
The thesis is devoted to abstract, geometric and symmetric aspects of modern elementary particle theories. A new direction in constructing supersymmetric and superstring models bas…