LEADER 02393nam 2200505 450 001 9910828118303321 005 20170816143333.0 010 $a1-4704-0018-9 035 $a(CKB)3360000000464310 035 $a(EBL)3113633 035 $a(SSID)ssj0000973354 035 $a(PQKBManifestationID)11582522 035 $a(PQKBTitleCode)TC0000973354 035 $a(PQKBWorkID)10959867 035 $a(PQKB)11766535 035 $a(MiAaPQ)EBC3113633 035 $a(RPAM)0000000702 035 $a(PPN)19540954X 035 $a(EXLCZ)993360000000464310 100 $a20750530d1967 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aModules over commutative regular rings /$fby R.S. Pierce 210 1$aProvidence :$cAmerican Mathematical Society,$d1967. 215 $a1 online resource (116 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 70 300 $aCover title. 311 $a0-8218-1270-X 320 $aBibliography: pages 111-112. 327 $a""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"" 327 $a""16. The Grothendieck group""""17. Direct sums of cyclic sheaves""; ""18. The refinement theorem""; ""19. Torsion and torsion-free modules""; ""20. Decomposition of torsion free modules""; ""21. The decomposition problem""; ""22. The torsion subsheaf""; ""23. Injective modules""; ""24. Self-infective rings""; ""25. Questions and conjectures"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 70. 606 $aCommutative rings 615 0$aCommutative rings. 700 $aPierce$b Richard S.$049830 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828118303321 996 $aModules over commutative regular rings$9925659 997 $aUNINA