About: Colocalization and cotilting for commutative noetherian rings

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1016/j.jalgebra.2014.03.015
Description	For a commutative noetherian ring R, we investigate relations between tilting and cotilting modules in Mod R and Mod R,, where in runs over the maximal spectrum of R. For each n < omega, we construct a 1-1 correspondence between (equivalence classes of) n-cotilting R-modules C and (equivalence classes of) compatible families,F of n-cotilting R-m-modules (m is an element of mSpec(R)). It is induced by the assignment C -> (C-m vertical bar m is an element of mSpec(R)), where C-m = Hom(R)(R C) is the colocalization of C at m, and its inverse F -> T Pi(F is an element of F) . We construct a similar correspondence for n-tilting modules using compatible families of localizations; however, there is no explicit formula for the inverse. (C) 2014 Elsevier Inc. All rights reserved. For a commutative noetherian ring R, we investigate relations between tilting and cotilting modules in Mod R and Mod R,, where in runs over the maximal spectrum of R. For each n < omega, we construct a 1-1 correspondence between (equivalence classes of) n-cotilting R-modules C and (equivalence classes of) compatible families,F of n-cotilting R-m-modules (m is an element of mSpec(R)). It is induced by the assignment C -> (C-m vertical bar m is an element of mSpec(R)), where C-m = Hom(R)(R C) is the colocalization of C at m, and its inverse F -> T Pi(F is an element of F) . We construct a similar correspondence for n-tilting modules using compatible families of localizations; however, there is no explicit formula for the inverse. (C) 2014 Elsevier Inc. All rights reserved. (en)
Title	Colocalization and cotilting for commutative noetherian rings Colocalization and cotilting for commutative noetherian rings (en)
skos:prefLabel	Colocalization and cotilting for commutative noetherian rings Colocalization and cotilting for commutative noetherian rings (en)
skos:notation	RIV/00216208:11320/14:10285304!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA201/09/0816)
http://linked.open...iv/cisloPeriodika	2014
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Trlifaj, Jan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	7751
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/14:10285304
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Colocalization; Characteristic sequence; Cotilting module; Commutative noetherian ring (en)
http://linked.open.../riv/klicoveSlovo	Characteristic sequence Colocalization Commutative noetherian ring Cotilting module
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[06CB610D4FD6]
http://linked.open...i/riv/nazevZdroje	Journal of Algebra
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Algebraické metody teorie reprezentací (aproximace, realizace a omezení)
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	408
http://linked.open...iv/tvurceVysledku	Trlifaj, Jan Sahinkaya, Serap
http://linked.open...ain/vavai/riv/wos	000335934500002
issn	0021-8693
number of pages	14 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.jalgebra.2014.03.015
http://localhost/t...ganizacniJednotka	11320

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