Some External Characterizations of SV-Rings and Hereditary Rings

We introduce a new class of rings which we call AI-rings. By applying this property to endomorphism rings, we give characterizations of semi-Artinian V-rings and hereditary rings

On equivalences between module subcategories.

by Leung Chi Kwan.Thesis (M.Phil.)--Chinese University of Hong Kong, 1996.Includes bibliographical references (leaves 133-135).Preface --- p.iiChapter 1 --- Introduction to Module Equivalence --- p.1Chapter 1.1 --- Introduction and Preliminaries --- p.1Chapter 2 --- Some Classical Results --- p.12Chapter 2.1 --- Morita Theorem --- p.12Chapter 2.2 --- Puller Theorem --- p.13Chapter 2.3 --- The Equivalence Mod-A ~Im(TP) --- p.29Chapter 2.4 --- The Equivalence Im(HP)~Im(Tp) --- p.33Chapter 3 --- *-modules and Tilting Modules --- p.39Chapter 3.1 --- The Equivalence Cogen(KA)~Gen(PR) --- p.39Chapter 3.2 --- Torsion Theories and *-modules --- p.56Chapter 3.3 --- The Structure of *-modules --- p.60Chapter 3.4 --- Characterizations of Tilting Modules --- p.65Chapter 4 --- Equivalences and Dualities --- p.85Chapter 4.1 --- The Equivalence PA~IR --- p.85Chapter 4.2 --- The Equivalence FGP-A ~FCI-R --- p.93Chapter 5 --- Torsion Theories Induced by Tilting Modules --- p.100Chapter 5.1 --- The Tilting Theorem --- p.100Chapter 5.2 --- Tilting Torsion Theories --- p.113Chapter 5.3 --- Isomorphisms of Endomorphism Rings of Tilting Modules --- p.122References --- p.13

Article Review: The Approach to Celiac Disease in Children

A persistent, global, immunological illness called CD affects those who are genetically predisposed to it. Inside the average population, celiac disease is thought to affect 1% of people worldwide. Its incidence varies according to regional or racial differences. Due to improved medical understanding with awareness, as well as the widespread use of extremely sensitive or precise diagnostic tests for celiac disease, the incidence of celiac disease had considerably grown over the last thirty years. Even though there is more understanding or awareness regarding celiac disease, up to 95% of celiac sufferers still go untreated. The uneven nature of small intestinal mucosa alterations may result in false-negative small intestinal histopathology. Throughout Western Europe, one percent of people suffer with CD. The research of milder clinical traits or the use of serological testing has boosted the detection accuracy. Although the age of presentation varies, individuals often present during the fourth or sixth decades. Compared to juvenile instances, adult’s instances of CD are more prevalent, with individuals as old as 65 are now being identified or given diagnoses. It usually happens after adding gluten to the diet. There is a considerable change toward fewer patients presenting with mild dementia or as symptomatic adults identified during testing, however there is a tendency towards decreasing individuals who present with severe CD marked by diarrhoea

The radicals of semigroup algebras with chain conditions.

by Au Yun-Nam.Thesis (M.Phil.)--Chinese University of Hong Kong, 1996.Includes bibliographical references (leaves 133-137).Introduction --- p.ivChapter 1 --- Preliminaries --- p.1Chapter 1.1 --- Some Semigroup Properties --- p.1Chapter 1.2 --- General Properties of Semigroup Algebras --- p.5Chapter 1.3 --- Group Algebras --- p.7Chapter 1.3.1 --- Some Basic Properties of Groups --- p.7Chapter 1.3.2 --- General Properties of Group Algebras --- p.8Chapter 1.3.3 --- Δ-Method for Group Algebras --- p.10Chapter 1.4 --- Graded Algebras --- p.12Chapter 1.5 --- Crossed Products and Smash Products --- p.14Chapter 2 --- Radicals of Graded Rings --- p.17Chapter 2.1 --- Jacobson Radical of Crossed Products --- p.17Chapter 2.2 --- Graded Radicals and Reflected Radicals --- p.18Chapter 2.3 --- Radicals of Group-graded Rings --- p.24Chapter 2.4 --- Algebras Graded by Semilattices --- p.26Chapter 2.5 --- Algebras Graded by Bands --- p.27Chapter 2.5.1 --- Hereditary Radicals of Band-graded Rings --- p.27Chapter 2.5.2 --- Special Band-graded Rings --- p.30Chapter 3 --- Radicals of Semigroup Algebras --- p.34Chapter 3.1 --- Radicals of Polynomial Rings --- p.34Chapter 3.2 --- Radicals of Commutative Semigroup Algebras --- p.36Chapter 3.2.1 --- Commutative Cancellative Semigroups --- p.37Chapter 3.2.2 --- General Commutative Semigroups --- p.39Chapter 3.2.3 --- The Nilness and Semiprimitivity of Commutative Semigroup Algebras --- p.45Chapter 3.3 --- Radicals of Cancellative Semigroup Algebras --- p.48Chapter 3.3.1 --- Group of Fractions of Cancellative Semigroups --- p.48Chapter 3.3.2 --- Jacobson Radical of Cancellative Semigroup Algebras --- p.54Chapter 3.3.3 --- Subsemigroups of Polycyclic-by-Finite Groups --- p.57Chapter 3.3.4 --- Nilpotent Semigroups --- p.59Chapter 3.4 --- Radicals of Algebras of Matrix type --- p.62Chapter 3.4.1 --- Properties of Rees Algebras --- p.62Chapter 3.4.2 --- Algebras Graded by Elementary Rees Matrix Semigroups --- p.65Chapter 3.5 --- Radicals of Inverse Semigroup Algebras --- p.68Chapter 3.5.1 --- Properties of Inverse Semigroup Algebras --- p.69Chapter 3.5.2 --- Radical of Algebras of Clifford Semigroups --- p.72Chapter 3.5.3 --- Semiprimitivity Problems of Inverse Semigroup Algebras --- p.73Chapter 3.6 --- Other Semigroup Algebras --- p.76Chapter 3.6.1 --- Completely Regular Semigroup Algebras --- p.76Chapter 3.6.2 --- Separative Semigroup Algebras --- p.77Chapter 3.7 --- Radicals of Pi-semigroup Algebras --- p.80Chapter 3.7.1 --- PI-Algebras --- p.80Chapter 3.7.2 --- Permutational Property and Algebras of Permutative Semigroups --- p.80Chapter 3.7.3 --- Radicals of PI-algebras --- p.82Chapter 4 --- Finiteness Conditions on Semigroup Algebras --- p.85Chapter 4.1 --- Introduction --- p.85Chapter 4.1.1 --- Preliminaries --- p.85Chapter 4.1.2 --- Semilattice Graded Rings --- p.86Chapter 4.1.3 --- Group Graded Rings --- p.88Chapter 4.1.4 --- Groupoid Graded Rings --- p.89Chapter 4.1.5 --- Semigroup Graded PI-Algebras --- p.91Chapter 4.1.6 --- Application to Semigroup Algebras --- p.92Chapter 4.2 --- Semiprime and Goldie Rings --- p.92Chapter 4.3 --- Noetherian Semigroup Algebras --- p.99Chapter 4.4 --- Descending Chain Conditions --- p.107Chapter 4.4.1 --- Artinian Semigroup Graded Rings --- p.107Chapter 4.4.2 --- Semilocal Semigroup Algebras --- p.109Chapter 5 --- Dimensions and Second Layer Condition on Semigroup Algebras --- p.119Chapter 5.1 --- Dimensions --- p.119Chapter 5.1.1 --- Gelfand-Kirillov Dimension --- p.119Chapter 5.1.2 --- Classical Krull and Krull Dimensions --- p.121Chapter 5.2 --- The Growth and the Rank of Semigroups --- p.123Chapter 5.3 --- Dimensions on Semigroup Algebras --- p.124Chapter 5.4 --- Second Layer Condition --- p.128Notations and Abbreviations --- p.132Bibliography --- p.13

Growth and Characterization of struvite and related crystals

Not availabl

Wood Science for Conservation of Cultural Heritage – Braga 2008

COST Action IE0601 "Wood Science for Conservation of Cultural Heritage" (www.woodculther.org) aims to improve the conservation of European wooden cultural heritage objects, by fostering research and interaction between researchers in various fields of wood science, conservators of wooden artworks, scientists from related fields. These proceedings contain the papers presented in the 2nd International Conference held in Braga (Portugal) 5-7/11/2008, dealing with themes such as material properties, biological degradation, characterization and measurement techniques, conservation, structures. This conference was patronized by the European Society for Wood Mechanics (ESWM), an informal body promoting wood mechanics in Europe by regular organisation of meetings through running COST Actions