Foxby equivalence over associative rings

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dc.creatorHolm, Henrik
dc.creatorWhite, Diana
dc.date2006-11-27
dc.date.accessioned2026-07-07T07:33:24Z
dc.date.available2026-07-07T07:33:24Z
dc.descriptionWe extend the definition of a semidualizing module to associative rings. This enables us to define and study Auslander and Bass classes with respect to a semidualizing bimodule C. We then study the classes of C-flats, C-projectives, and C-injectives, and use them to provide a characterization of the modules in the Auslander and Bass classes. We extend Foxby equivalence to this new setting. This paper contains a few results which are new in the commutative, noetherian setting.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0611838
dc.identifierhttp://arxiv.org/abs/math/0611838
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119444
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject13D02, 13D07, 13D25, 16E05, 16E30
dc.titleFoxby equivalence over associative rings
dc.typetext

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