Let Λ be an Auslander’s 1-Gorenstein Artinian algebra with global dimension two. If Λ admits a trivial maximal 1-orthogonal subcategory of modΛ, then for any indecomposable module M ∈ modΛ, we have that the projective dimension of M is equal to one if and only if so is its injective dimension and that M is injective if the projective dimension of M is equal to two. In this case, we further get ...

The purpose of this note is to understand the two out of three property of the model category in terms of the weak factorization systems. We will show that if a category with classes of trivial cofibrations, cofibrations, trivial fibrations, and fibrations is given a simplicial structure similar to that of the simplicial model category, then the full subcategory of cofibrant and fibrant objects...

BACKGROUND Economic immigrants generally, and economic class principal applicants (ECPAs) specifically, tend to have better health than other immigrants. However, health outcomes vary among subcategories within this group, especially by sex. DATA AND METHODS This study examines hospitalization rates among ECPAs aged 25 to 74 who arrived in Canada between 1980 and 2006 as skilled workers, busi...

OBJECTIVE To examine the descriptive epidemiology of weapon injuries not directly attributable to combat during armed conflict. DESIGN Prospective cohort study. SETTING Nangarhar region of Afghanistan, which experienced effective peace, intense fighting, and then peace over six months in 1996. SUBJECTS 608 people admitted to Jalalabad hospital because of weapon injuries. MAIN OUTCOME ME...

We prove that in the category of achimedean lattice-ordered groups with weak unit there is no homomorphism-closed monoreflection strictly between the strongest essential monoreflection (the so-called “closure under countable composition”) and the strongest monoreflection (the epicompletion). It follows that in the category of regular σframes, the only non-trivial monoreflective subcategory that...

In [1], we proposed a model for quantized discrete general relativity with a Euclidean signature. The model was constructed by combining the structure of a certain tensor category and of a full subcategory of it with the combinatorics of a triangulated 4-manifold. The category was the representations of Uqso(4), for q a 4n-th root of unity and the subcategory the representations which are calle...

We construct the full linearisation functor which takes a graded bundle of degree k (a particular kind of graded manifold) and produces a k-fold vector bundle. We fully characterise the image of the full linearisation functor and show that we obtain a subcategory of k-fold vector bundles consisting of symmetric k-fold vector bundles equipped with a family of morphisms indexed by the symmetric g...

Pharmacological management of the pediatric dental patient is considered a subcategory of a broader collection of professional mediated activities known as behavior management techniques. Pharmacological techniques are generally divided into either: (1) various levels of sedation; or (2) general anesthesia. Pharmacological techniques are not universally offered by practicing dentists for a host...

We define a subcategory of the category of diffeological spaces, which contains smooth manifolds, the diffeomorphism subgroups and its coadjoint orbits. In these spaces we construct a tangent bundle, vector fields and a de Rham cohomology.

We present a Cartesian closed category ELoc of equilocales, which contains the category Loc of locales as a reflective full subcategory. The embedding of Loc into ELoc preserves products and all exponentials of exponentiable locales.