Compatibility of (co)actions and localizations

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dc.creatorŠkoda, Zoran
dc.date2009-02-09
dc.date.accessioned2026-07-07T12:39:26Z
dc.date.available2026-07-07T12:39:26Z
dc.descriptionEarlier, Lunts and Rosenberg studied a notion of compatibility of endofunctors with localization functors, with an application to the study of differential operators on noncommutative rings and schemes. Another compatibility -- of Ore localizations of an algebra with a comodule algebra structure over a given bialgebra -- introduced in my earlier work -- is here described also in categorical language, but the appropriate notion differs from that of Lunts and Rosenberg, and it involves a specific kind of distributive laws. Some basic facts about compatible localization follow from more general functoriality properties of associating comonads or even actions of monoidal categories to comodule algebras. We also introduce localization compatible pairs of entwining structures.
dc.descriptionpreliminary version, posted earlier because of using and referencing some of present results in another works of mine
dc.identifierhttps://arxiv.org/abs/0902.1398
dc.identifierhttp://arxiv.org/abs/0902.1398
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219111
dc.subjectQuantum Algebra
dc.subjectCategory Theory
dc.subject14A22, 16W30, 18D10
dc.titleCompatibility of (co)actions and localizations
dc.typetext

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