Cargando…

Model Theory of Modules, Algebras and Categories

This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28-August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in m...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Facchini, Alberto
Otros Autores: Gregory, Lorna, L'Innocente, Sonia
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1929.
Colección:Contemporary Mathematics Ser.
Temas:
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000Mu 4500
001 EBOOKCENTRAL_on1104725849
003 OCoLC
005 20240329122006.0
006 m o d
007 cr |n|---|||||
008 190720s1929 riu o 000 0 eng d
040 |a EBLCP  |b eng  |e pn  |c EBLCP  |d OCLCQ  |d LOA  |d OCLCO  |d OCLCF  |d K6U  |d OCLCO  |d OCLCQ  |d OCLCO 
020 |a 9781470452957 
020 |a 1470452952 
035 |a (OCoLC)1104725849 
050 4 |a QA247.3  |b .I584 2019 
082 0 4 |a 512.42  |2 23 
049 |a UAMI 
100 1 |a Facchini, Alberto. 
245 1 0 |a Model Theory of Modules, Algebras and Categories 
260 |a Providence :  |b American Mathematical Society,  |c 1929. 
300 |a 1 online resource (250 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Contemporary Mathematics Ser. ;  |v v. 730 
588 0 |a Print version record. 
505 0 |a Cover; Title page; Contents; Chapter 1. Preface; On isonoetherian and isoartinian modules; 1. Introduction; 2. Isosimple modules; 3. Isonoetherian and isoartinian modules and rings; 4. Isoradical of a ring and modules generated by isosimpe modules; 5. Modules of finite I-length; Acknowledgment; References; Derived categories for Grothendieck categories of enriched functors; 1. Introduction; 2. Enriched Category Theory; 3. The closed symmetric monoidal structure for chain complexes; 4. The enriched structure; 5. Identifying chain complexes with enriched functors 
505 8 |a 6. Compact generators for the derived categoryReferences; Left determined morphisms and free realisations; 1. Basic concepts; 2. The relationship between free realisations and determiners; 3. A proof of the existence of left determiners for morphisms; Acknowledgments; References; The universal abelian regular ring; 1. The group inverse; 2. Olivier's construction; 3. Definable scalars of -rings.; 4. The commutative case; 5. The lattice of pp definable subgroups; 6. The constructible Cohn spectrum; 7. The Ziegler spectrum; 8. The étale bundle of definable scalars; Acknowledgement; References 
505 8 |a A characterisation of -tilting finite algebrasIntroduction; 1. Silting modules and ring epimorphisms; 2. From torsion classes to abelian subcategories; 3. From abelian subcategories to torsion classes; 4.-tilting finite algebras; References; Describing models of Th($! in adelic terms; 1. Introduction; 2. Applying the long exact sequence; 3. Conclusions; References; Valued modules on skew polynomial rings and Bézout domains; 1. Introduction; 2. Preliminaries; 3. Valued modules; 4. Valued Ore modules; 5. Valued modules over a Bézout domain; References 
505 8 |a Multisorted modules and their model theory1. Introduction; 2. Multisorted modules, quiver representations and additive functors; 3. Setting up linear algebra in multisorted modules; 4. Modules in any abelian category; 5. Multisorted modules as structures; 6. Examples of multisorted modules; 7. Adding new sorts; 8. Three categories; 9. An example: ₃; 10. Adding more conditions: localisation and definable subcategories; 11. An example: ₃ again; 12. Further examples: triangulated categories; 13. Further examples: Nori motives; 14. Extending tensor product to sorts; an example; References 
505 8 |a Pure projective modules over non-singular serial rings1. Introduction; 2. Basics on uniserial modules; 3. Finitely presented modules over serial rings; 4. Dimension theory for pure projective modules over serial rings; 5. The main result; References; Mittag-Leffler modules and definable subcategories; 1. Introduction; 2. Preliminaries; 3. Mittag-Leffler modules; 4. Special cases; 5. Purity; 6. Pure separation; 7. Countably generated modules; Acknowledgments; References; Intrinsic valuation entropy; 1. Introduction; 2. Definitions and preliminary facts 
500 |a 3. Some tools for the computation of entropy 
520 |a This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28-August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Modules (Algebra)  |v Congresses. 
650 0 |a Algebra  |v Congresses. 
650 6 |a Modules (Algèbre)  |v Congrès. 
650 6 |a Algèbre  |v Congrès. 
650 7 |a Algebra  |2 fast 
650 7 |a Modules (Algebra)  |2 fast 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Gregory, Lorna. 
700 1 |a L'Innocente, Sonia. 
776 0 8 |i Print version:  |a Facchini, Alberto.  |t Model Theory of Modules, Algebras and Categories.  |d Providence : American Mathematical Society, ©1929  |z 9781470443672 
830 0 |a Contemporary Mathematics Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5788256  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL5788256 
994 |a 92  |b IZTAP