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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10285304%21RIV15-MSM-11320___
rdf:type
n10:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.1016/j.jalgebra.2014.03.015
dcterms: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.
dcterms:title
Colocalization and cotilting for commutative noetherian rings Colocalization and cotilting for commutative noetherian rings
skos:prefLabel
Colocalization and cotilting for commutative noetherian rings Colocalization and cotilting for commutative noetherian rings
skos:notation
RIV/00216208:11320/14:10285304!RIV15-MSM-11320___
n3:aktivita
n12:P n12:I
n3:aktivity
I, P(GA201/09/0816)
n3:cisloPeriodika
2014
n3:dodaniDat
n8:2015
n3:domaciTvurceVysledku
n4:6265219
n3:druhVysledku
n14:J
n3:duvernostUdaju
n6:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
7751
n3:idVysledku
RIV/00216208:11320/14:10285304
n3:jazykVysledku
n13:eng
n3:klicovaSlova
Colocalization; Characteristic sequence; Cotilting module; Commutative noetherian ring
n3:klicoveSlovo
n5:Cotilting%20module n5:Colocalization n5:Characteristic%20sequence n5:Commutative%20noetherian%20ring
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[06CB610D4FD6]
n3:nazevZdroje
Journal of Algebra
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n11:GA201%2F09%2F0816
n3:rokUplatneniVysledku
n8:2014
n3:svazekPeriodika
408
n3:tvurceVysledku
Sahinkaya, Serap Trlifaj, Jan
n3:wos
000335934500002
s:issn
0021-8693
s:numberOfPages
14
n7:doi
10.1016/j.jalgebra.2014.03.015
n20:organizacniJednotka
11320