CONTENTSIntroduction..........................................................................................................................................................................5§1. Categories with involution, ordered categories and ordered categories with involution.................................................8§2. Types of morphisms regularity in an OI-category. Functional and difunctional morphisms...........................................17§3. Equivalences and coequivalences. Congruences and cocongruences........................................................................25§4. Modular categories and correspondence categories...................................................................................................31§5. A construction of correspondence categories. Admissible and exact functors.............................................................40§6. Correspondences over sites........................................................................................................................................52§7. Modular categories with images...................................................................................................................................58§8. Correspondence categories over categories of classes R₁-R₃....................................................................................62§9. Correspondence categories over exact categories......................................................................................................69§10. OI-categories with a quasinull object..........................................................................................................................75§11. Correspondence categories over exact categories with a null object, over additive and abelian categories..............83§12. Quaternar categories.................................................................................................................................................88§13. Construction of quaternar categories.........................................................................................................................93§14. Supplementary notes and questions........................................................................................................................105References.......................................................................................................................................................................110
@book{bwmeta1.element.zamlynska-e0af96c4-aca3-4890-a28f-605f9b788bad,
author = {M. S. Calenko and V. B. Gisin and D. A. Raikov},
title = {Ordered categories with involution},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1984},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-e0af96c4-aca3-4890-a28f-605f9b788bad}
}
M. S. Calenko; V. B. Gisin; D. A. Raikov. Ordered categories with involution. GDML_Books (1984), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-e0af96c4-aca3-4890-a28f-605f9b788bad/