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024 7 $a10.1007/BFb0093556
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100   $a20121227d1997      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aProjective Modules and Complete Intersections /$fby Satya Mandal
205   $a1st ed. 1997.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1997.
215   $a1 online resource (VIII, 124 p.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1672
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-63564-5 
327   $aPreliminaires -- Patching modules and other preliminaries -- Extended modules over polynomial rings -- Modules over commutative rings -- The theory of matrices -- Complete intersections -- The techniques of lindel.
330   $aIn these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1672
606   $aCommutative algebra
606   $aCommutative rings
606   $aCommutative Rings and Algebras
615  0$aCommutative algebra.
615  0$aCommutative rings.
615 14$aCommutative Rings and Algebras.
676   $a512.42
686   $a13C10$2msc
700   $aMandal$b Satya$f1953-$061865
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910146293003321
996   $aProjective modules and complete intersections$978090
997   $aUNINA