The non-trivial hereditary monocoreflective subcategories of the Abelian groups are the following ones: {G ∈ ObAb | G is a torsion group, and ∀g ∈ G the exponent of any prime p in the prime factorization of o(g) is at most E(p)}, where E(·) is an arbitrary function from the prime numbers to {0, 1, 2, ...,∞}. (o(·) means the order of an element, and n ≤ ∞ means n < ∞.) This result is dualized to...

This article presents information about the development and evaluation of the SF-36 Health Survey, a 36-item generic measure of health status. It summarizes studies of reliability and validity and provides administrative and interpretation guidelines for the SF-36. A brief history of the International Quality of Life Assessment (IQOLA) Project is also included.

This paper reports on the findings of a study to derive a preference-based measure of health from the SF-36 for use in economic evaluation. The SF-36 was revised into a six-dimensional health state classification called the SF-6D. A sample of 249 states defined by the SF-6D have been valued by a representative sample of 611 members of the UK general population, using standard gamble. Models are...

We classify all the localizing subcategories of the derived category D(R) of modules over a noetherian ring R, after developing the theory of unbounded complexes over R. Then, we use this classification to classify thick subcategories of the derived category D(R)proj of bounded complexes of projective modules over R, and prove Balmer’s reconstruction theorem in the affine case.

ii Acknowledgements I would like to acknowledge and thank my major professor Dr. Gerald LaHoste for his help in this project. I would also like to extend thanks to Dr. Laura Harrison and Dr. David Ruskin for all of their advice and help in the completion of this project. I would also like to say thank-you to everyone at UNO for making my years here very enjoyable and I wish everyone the best in...

Following Krause [Kra99], we prove Krull-Schmidt theorems for thick subcategories of various triangulated categories: derived categories of rings, noetherian stable homotopy categories, stable module categories over Hopf algebras, and the stable homotopy category of spectra. In all these categories, it is shown that the thick ideals of small objects decompose uniquely into indecomposable thick ...

Object recognition is one of the fundamental challenges in computer vision, where the goal is to identify and localize the extent of object instances within an image. The current de facto standard for building high-performance object category detectors is the sliding window approach. This approach involves scanning an image with a fixed-size rectangular window and applying a classifier to the f...

Let R be an associative ring with non-zero identity. For a Serre subcategory C of the category R-mod of left R-modules, we consider the class AC of all modules that do not belong to C, but all of their proper submodules belong to C. Alongside of basic properties of such associated classes of modules, we will prove that every uniform module of AC has a local endomorphism ring. Moreover, if R is ...

An interaction has been found between the true source language model, training language model, and the testing language model. This interaction has implications for vocabulary independent modeling, testing methodologies, discriminative training, and the adequacy of our current databases for continuous speech recognition (CSR) development. The current DARPA databases suffer from the described di...

Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes Dper(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of (iso-classes for) indecomposable injective modules are essentially used.