1.

Record Nr.

UNINA9910480528503321

Autore

Krause Henning <1962->

Titolo

The spectrum of a module category / / Henning Krause

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2001

ISBN

1-4704-0298-X

Descrizione fisica

1 online resource (143 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 707

Disciplina

510 s

512/.74

Soggetti

Injective modules (Algebra)

Categories (Mathematics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 2001, Volume 149, Number 707 (second of 4 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Chapter 0. Introduction""; ""Chapter 1. The functor category""; ""1.1. Preliminaries""; ""1.2. Purity""; ""Chapter 2. Definable subcategories""; ""2.1. Definable subcategories""; ""2.2. Saturation""; ""2.3. The Ziegler topology""; ""2.4. Definable quotient categories""; ""2.5. Examples""; ""Chapter 3. Left approximations""; ""3.1. Left almost split maps""; ""3.2. Left approximations""; ""3.3. Minimal left approximations""; ""Chapter 4. Duality""; ""4.1. Purely equivalent and purely opposed modules""; ""4.2. The dual of a definable subcategory""; ""4.3. Pure-reflexive modules""

""Chapter 5. Ideals in the category of finitely presented modules""""5.1. Fp-idempotent ideals""; ""5.2. Ideals generated by idempotents""; ""Chapter 6. Endofinite modules""; ""6.1. The endocategory of a module""; ""6.2. â??-pure-injective modules""; ""6.3. Product-complete modules""; ""6.4. Endofinite modules""; ""6.5. Generic modules""; ""6.6. Ideals of finite length""; ""Chapter 7. Krull-Gabriel dimension""; ""7.1. The Krull-Gabriel dimension of a ring""; ""7.2. The Krull-Gabriel dimension of a module""; ""Chapter 8. The infinite radical""; ""8.1. The preinjective dimension of a module""

""8.2. Transfinite powers of the Jacobson radical""""Chapter 9. Functors between module categories""; ""9.1. Coherent functors""; ""Chapter 10. Tame algebras""; ""10.1. Endofinitely tame algebras""; ""10.2. Functors



preserving tameness""; ""10.3. Representation embeddings""; ""10.4. One-parameter families and generic modules""; ""Chapter 11. Rings of definable scalars""; ""11.1. Rings of definable scalars""; ""11.2. Calculus of fractions""; ""11.3. Biendomorphism rings""; ""11.4. Basic properties""; ""11.5. Epimorphisms of rings""; ""Chapter 12. Reflective definable subcategories""

""12.1. Reflective definable subcategories""""12.2. Î?-continuous modules""; ""12.3. Definable and universal localizations""; ""Chapter 13. Sheaves""; ""13.1. Sheaves on the Gabriel spectrum""; ""13.2. The Zariski topology""; ""13.3. Structure sheaves""; ""13.4. Associated sheaves of modules""; ""Chapter 14. Tame hereditary algebras""; ""14.1. Preliminaries""; ""14.2. A parametrizing curve""; ""Chapter 15. Coherent rings""; ""15.1. Preliminaries""; ""15.2. Prime spectrum versus Gabriel spectrum""; ""15.3. The global section functor""; ""Appendix A. Locally coherent Grothendieck categories""

""A.1. Localization in abelian categories""""A.2. Locally coherent Grothendieck categories""; ""A.3. Localization in locally coherent Grothendieck categories""; ""A.4. Locally noetherian categories""; ""Appendix B. Dimensions""; ""B.1. The dimension of an abelian category""; ""B.2. The dimension of a modular lattice""; ""Appendix C. Finitely presented functors and ideals""; ""C.1. The category of finitely presented functors""; ""C.2. Ideals in additive categories""; ""Bibliography""



2.

Record Nr.

UNINA9910783704403321

Titolo

Morphogenesis of endothelium / / edited by Werner Risau and Gabor M. Rubanyi

Pubbl/distr/stampa

Amsterdam, The Netherlands : , : Harwood Academic, , 2000

ISBN

0-429-17944-8

1-4822-8411-1

1-280-07336-5

0-203-30435-7

9786610073368

Descrizione fisica

1 online resource (312 p.)

Collana

Endothelial cell research series ; ; v. 8

Altri autori (Persone)

RisauWerner <1953-1998.>

RubanyiGabor M. <1947->

Disciplina

573.18

611.0187

Soggetti

Vascular endothelium

Morphogenesis

Blood-vessels - Growth

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Book Cover; Title; Contents; Tribute; Contributors; Structural, Biochemical and Functional Differentiation of the Vascular Endothelium; Endothelial Fenestrae and Fenestral Diaphragms; Adhesion Molecules in Endothelial Cells and their Role in Vascular Morphogenesis; Development of the Vascular Endothelium in Avian Embryos; Development of the Heart, Large Vessels and Coronary Vasculature; The Development of the Retinal Vasculature; Development of the Blood-Brain Barrier; Development and Growth of the Pulmonary Microvasculature; Development of the Kidney Vascular System

Development of the Liver Vascular SystemDevelopment of the Limb Bud Vascular System; Development of the Vascular System in Skeletal Muscle; Development of the Vascular System in the Corpus Luteum; Development of the Vascular System in the Placenta; The Development of the Lymph Node Vasculature; Index



Sommario/riassunto

The cardiovascular system is the first functional organ system to develop in the vertebrate embryo. Embryonic growth and differentiation essentially depend on transport of nutrients and waste through the early vasculature, and certain events in morphogenesis are thought to be influenced by the hemodynamic forces of the beating heart. The vasculature not only serves as a 'nutrient and waste pipeline' but is also a major communication system between distant organs and tissues. The vascular endothelial cell mediates vascular growth, permeability, integrity and interactions with blood cells. In mo