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- catalog abstract "In 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.".
- catalog contributor b10564040.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "In 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.".
- catalog description "Includes bibliographical references (p. - ) and index.".
- catalog description "Preliminaries -- Patching Modules and Other Preliminaries -- Extended Modules over Polynomial Rings -- Modules over Commutative Rings -- The Theory of Matrices -- Complete Intersections -- The Techniques of Lindel -- Bibliography -- Index.".
- catalog extent "113 p. ;".
- catalog identifier "3540635645 (acid-free paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1672.".
- catalog isPartOf "Lecture notes in mathematics ; 1672".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "510 s 512/.4 21".
- catalog subject "Algebra.".
- catalog subject "Intersection theory.".
- catalog subject "Mathematics.".
- catalog subject "Projective modules (Algebra)".
- catalog subject "QA3 .L28 no. 1672 QA247.3".
- catalog tableOfContents "Preliminaries -- Patching Modules and Other Preliminaries -- Extended Modules over Polynomial Rings -- Modules over Commutative Rings -- The Theory of Matrices -- Complete Intersections -- The Techniques of Lindel -- Bibliography -- Index.".
- catalog title "Projective modules and complete intersections / Satya Mandal.".
- catalog type "text".