"1"^^ . . "2014" . "Colocalization; Characteristic sequence; Cotilting module; Commutative noetherian ring"@en . . "2"^^ . . "10.1016/j.jalgebra.2014.03.015" . . "I, P(GA201/09/0816)" . "Colocalization and cotilting for commutative noetherian rings" . "Sahinkaya, Serap" . . "RIV/00216208:11320/14:10285304!RIV15-MSM-11320___" . . . . "Colocalization and cotilting for commutative noetherian rings"@en . "408" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . . . "http://dx.doi.org/10.1016/j.jalgebra.2014.03.015" . "000335934500002" . "Colocalization and cotilting for commutative noetherian rings" . . "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." . "Journal of Algebra" . . "7751" . "Colocalization and cotilting for commutative noetherian rings"@en . . "0021-8693" . "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 . "14"^^ . . "Trlifaj, Jan" . "[06CB610D4FD6]" . . . "RIV/00216208:11320/14:10285304" . "11320" .