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Record Nr. |
UNINA9910828118303321 |
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Autore |
Pierce Richard S. |
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Titolo |
Modules over commutative regular rings / / by R.S. Pierce |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 1967 |
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ISBN |
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Descrizione fisica |
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1 online resource (116 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 70 |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Bibliography: pages 111-112. |
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Nota di contenuto |
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""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"" |
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