TY - JOUR
T1 - Extending localization functors
AU - Casacuberta, Carles
AU - Frei, Armin
AU - Tan, G. C.
PY - 1995/9/15
Y1 - 1995/9/15
N2 - We prove that, under suitable restrictions, an idempotent monad t defined on a full subcategory A of a category C can be extended to an idempotent monad T on C in a universal (terminal) way. Our result applies in particular to the case when t is P-localization of nilpotent groups (where P denotes a set of primes) and C is the category of all groups. The corresponding monad T on C is, in a certain precise sense, the best idempotent approximation to the usual Zp-completion of groups; it turns out to be a strict epimorphic image of Bousfield's HZp-localization. © 1995.
AB - We prove that, under suitable restrictions, an idempotent monad t defined on a full subcategory A of a category C can be extended to an idempotent monad T on C in a universal (terminal) way. Our result applies in particular to the case when t is P-localization of nilpotent groups (where P denotes a set of primes) and C is the category of all groups. The corresponding monad T on C is, in a certain precise sense, the best idempotent approximation to the usual Zp-completion of groups; it turns out to be a strict epimorphic image of Bousfield's HZp-localization. © 1995.
U2 - 10.1016/0022-4049(94)00099-5
DO - 10.1016/0022-4049(94)00099-5
M3 - Article
SN - 0022-4049
VL - 103
SP - 149
EP - 165
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 2
ER -