BACKGROUND Graded activity and graded exposure are increasingly being used in the management of persistent low back pain; however, their effectiveness remains poorly understood. PURPOSE The aim of this study was to systematically review randomized controlled trials that evaluated the effectiveness of graded activity or graded exposure for persistent (>6 weeks in duration or recurrent) low bac...

Hochster established the existence of a commutative noetherian ring R and a universal resolution U of the form 0 ! R ! R ! R ! 0 such that for any commutative noetherian ring S and any resolution V equal to 0! S ! S ! S g ! 0, there exists a unique ring homomorphism R ! S with V = U R S. In the present paper we assume that f = e + g and we nd a resolution of R by free P-modules, where P is a po...

The automorphism group of a curve is studied from the viewpoint canonical embedding and Petri’s theorem. A criterion for identifying as an algebraic subgroup general linear given. Furthermore, action extended to on generators minimal free resolution ring X.

For a finitely generated submonoid Λ of N, we consider the minimal free resolution of a field k as a module over the monoid algebra k[Λ]. Interpreting the ranks of the free modules in the resolution as the homology of certain simplicial complexes associated to posets, we show how non-commutative Gröbner bases and the non-pure shellings of Björner and Wachs can be used to obtain information abou...

LOCALLY GRADED GROUPS WITH CERTAIN MINIMAL CONDITIONS FOR SUBGROUPS, II JAVIER OTAL AND JUAN MANUEL PEÑA This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions . If P is a theoretical property of groups and subgroups, we show that a locally graded group G satisfies the minimal condition...