02394nam 2200505 450 991047998600332120170816143333.01-4704-0018-9(CKB)3360000000464310(EBL)3113633(SSID)ssj0000973354(PQKBManifestationID)11582522(PQKBTitleCode)TC0000973354(PQKBWorkID)10959867(PQKB)11766535(MiAaPQ)EBC3113633(PPN)19540954X(EXLCZ)99336000000046431020750530d1967 uy| 0engur|n|---|||||txtccrModules over commutative regular rings /by R.S. PierceProvidence :American Mathematical Society,1967.1 online resource (116 p.)Memoirs of the American Mathematical Society ;number 70Cover title.0-8218-1270-X Bibliography: pages 111-112.""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""Memoirs of the American Mathematical Society ;no. 70.Commutative ringsElectronic books.Commutative rings.Pierce Richard S.49830MiAaPQMiAaPQMiAaPQBOOK9910479986003321Modules over commutative regular rings925659UNINA