Noninvertibility, semisupermanifolds and categories regularization
Duplij, Steven ; Marcinek, Wladyslaw
arXiv, 0012039 / Harvested from arXiv
Text on arXiv
The categories with noninvertible morphisms are studied analogously to the semisupermanifolds with noninvertible transition functions. The concepts of regular n-cycles, obstruction and the regularization procedure are introduced and investigated. It is shown that the regularization of a category with nonivertible morphisms and obstruction form a 2-category. The generalization of functors, Yang-Baxter equation, (co-) algebras, (co-) modules and some related structures to the regular case is given.
Publié le : 2000-12-21
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{0012039,
     author = {Duplij, Steven and Marcinek, Wladyslaw},
     title = {Noninvertibility, semisupermanifolds and categories regularization},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0012039}
}

Duplij, Steven; Marcinek, Wladyslaw. Noninvertibility, semisupermanifolds and categories regularization. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012039/