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Pattern closure of groups of tree automorphisms
closed self-similar groups finitely constrained groups
2011/1/19
It is shown that a group defined by forbidding all patterns of size s + 1 that do not appear in a given self-simialr group of tree automorphisms is the topological closure of a self-similar, countable...
On the $p$-adic closure of a subgroup of rational points on an Abelian variety
$p$-adic closure subgroup of rational points Abelian variety
2011/2/24
In 2007, B. Poonen (unpublished) studied the p{adic closure of a subgroup of rational points on a commutative algebraic group. More recently, J. Bellache asked the same question for the special case...
Some remarks on big Cohen-Macaulay algebras via closure operations
Almost Cohen-Macaulay Big Cohen-Macaulay Closure operation Perfect al-gebra Value map
2010/12/1
In this note we present some remarks on big Cohen-Macaulay algebras.Our methods for doing this are inspired by the notion of dagger closure and by ideas of Northcott on dropping of the Noetherian assu...
Modules With Unique Closure Relative to a Torsion Theory II
Closed submodule UC-module hereditary torsion theory
2010/2/25
We study modules M over a general ring R such that every submodule has a unique closure with respect to a hereditary torsion theory t on Mod-R using the fact that the module M satisfies a certain tran...