{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":23,"n_cols":5,"rows_kept":23,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[4,2,4,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[9,2,9,3],[12,2,12,3],[13,2,13,3],[17,2,17,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910480528503321"]
[null,null,"Autore",null,"Krause Henning <1962->"]
[null,null,"Titolo",null,"The spectrum of a module category / / Henning Krause"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2001"]
[null,null,"ISBN",null,"1-4704-0298-X"]
[null,null,"Descrizione fisica",null,"1 online resource (143 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 707"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"512/.74"]
[null,null,"Soggetti",null,"Injective modules (Algebra)"]
[{"$nulls":4},"Categories (Mathematics)"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"January 2001, Volume 149, Number 707 (second of 4 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 0. Introduction\"\"; \"\"Chapter 1. The functor category\"\"; \"\"1.1. Preliminaries\"\"; \"\"1.2. Purity\"\"; \"\"Chapter 2. Definable subcategories\"\"; \"\"2.1. Definable subcategories\"\"; \"\"2.2. Saturation\"\"; \"\"2.3. The Ziegler topology\"\"; \"\"2.4. Definable quotient categories\"\"; \"\"2.5. Examples\"\"; \"\"Chapter 3. Left approximations\"\"; \"\"3.1. Left almost split maps\"\"; \"\"3.2. Left approximations\"\"; \"\"3.3. Minimal left approximations\"\"; \"\"Chapter 4. Duality\"\"; \"\"4.1. Purely equivalent and purely opposed modules\"\"; \"\"4.2. The dual of a definable subcategory\"\"; \"\"4.3. Pure-reflexive modules\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"8.2. Transfinite powers of the Jacobson radical\"\"\"\"Chapter 9. Functors between module categories\"\"; \"\"9.1. Coherent functors\"\"; \"\"Chapter 10. Tame algebras\"\"; \"\"10.1. Endofinitely tame algebras\"\"; \"\"10.2. Functors preserving tameness\"\"; \"\"10.3. Representation embeddings\"\"; \"\"10.4. One-parameter families and generic modules\"\"; \"\"Chapter 11. Rings of "]
[{"$nulls":4},"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\"\""]
[{"$nulls":4},"\"\"12.1. Reflective definable subcategories\"\"\"\"12.2. Î?-continuous modules\"\"; \"\"12.3. Definable and universal localizations\"\"; \"\"Chapter 13. Sheaves\"\"; \"\"13.1. Sheaves on the Gabriel spectrum\"\"; \"\"13.2. The Zariski topology\"\"; \"\"13.3. Structure sheaves\"\"; \"\"13.4. Associated sheaves of modules\"\"; \"\"Chapter 14. Tame hereditary algebras\"\"; \"\"14.1. Preliminaries\"\"; \"\"14.2. A parametrizing curve\"\"; \"\"Chapter 15. Coherent rings\"\"; \"\"15.1. Preliminaries\"\"; \"\"15.2. Prime spectrum versus Gabriel spectrum\"\"; \"\"15.3. The global section functor\"\"; \"\"Appendix A. Locally coherent Grothendieck categories\"\""]
[{"$nulls":4},"\"\"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\"\""]