Modules over commutative regular rings / / by R.S. Pierce

• Autore: Pierce Richard S.
• Pubblicazione: Providence : , : American Mathematical Society, , 1967
• Descrizione fisica: 1 online resource (116 p.)
• Soggetto topico: Commutative rings
• Note generali: Cover title.
• Nota di bibliografia: Bibliography: pages 111-112.
• Nota di contenuto: ""Contents""; ""Part I. The Representation Theory""; ""1. Subdirect representations of modules""; ""2. The decomposition space of a ring""; ""3. Sheaves""; ""4. Reduced ringed spaces""; ""5. The isomorphism theorem""; ""6. Functorial properties of ringed spaces""; ""7. Functorial properties of sheaves of modules""; ""8. The adjoint functor theorem""; ""9. Change of ring""; ""10. Regular ringed spaces""; ""11. Biregular rings""; ""12. m-Rings""; ""Part II. Modules Over Commutative Regular Rings""; ""13. The dimension function""; ""14. Cyclic modules""; ""15. Projective modules"" ; ""16. The Grothendieck group""""17. Direct sums of cyclic sheaves""; ""18. The refinement theorem""; ""19. Torsion and torsion-free modules""; ""20. Decomposition of torsion free modules""; ""21. The decomposition problem""; ""22. The torsion subsheaf""; ""23. Injective modules""; ""24. Self-infective rings""; ""25. Questions and conjectures""
• Titolo autorizzato: Modules over commutative regular rings
• ISBN: 1-4704-0018-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910828118303321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 70.