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The Resource Polytopes, Rings, and KTheory, by Winfried Bruns, Joseph Gubeladze, (electronic resource)
Polytopes, Rings, and KTheory, by Winfried Bruns, Joseph Gubeladze, (electronic resource)
Resource Information
The item Polytopes, Rings, and KTheory, by Winfried Bruns, Joseph Gubeladze, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Polytopes, Rings, and KTheory, by Winfried Bruns, Joseph Gubeladze, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book treats the interaction between discrete convex geometry, commutative ring theory, algebraic Ktheory, and algebraic geometry. The basic mathematical objects are lattice polytopes, rational cones, affine monoids, the algebras derived from them, and toric varieties. The book discusses several properties and invariants of these objects, such as efficient generation, unimodular triangulations and covers, basic theory of monoid rings, isomorphism problems and automorphism groups, homological properties and enumerative combinatorics. The last part is an extensive treatment of the Ktheory of monoid rings, with extensions to toric varieties and their intersection theory. This monograph has been written with a view towards graduate students and researchers who want to study the crossconnections of algebra and discrete convex geometry. While the text has been written from an algebraist's view point, also specialists in lattice polytopes and related objects will find an uptodate discussion of affine monoids and their combinatorial structure. Though the authors do not explicitly formulate algorithms, the book takes a constructive approach wherever possible. Winfried Bruns is Professor of Mathematics at Universität Osnabrück. Joseph Gubeladze is Professor of Mathematics at San Francisco State University
 Language

 eng
 eng
 Edition
 1.
 Extent
 1 online resource (460 p.)
 Note
 Description based upon print version of record
 Contents

 I Cones, monoids, and triangulations
 Polytopes, cones, and complexes
 Affine monoids and their Hilbert bases
 Multiples of lattice polytopes
 II Affine monoid algebras
 Monoid algebras
 Isomorphisms and automorphisms
 Homological properties and Hilbert functions
 Gr#x00F6;bner bases, triangulations, and Koszul algebras
 III Ktheory
 Projective modules over monoid rings
 Bass#x2013;Whitehead groups of monoid rings
 Varieties
 Isbn
 9781282292147
 Label
 Polytopes, Rings, and KTheory
 Title
 Polytopes, Rings, and KTheory
 Statement of responsibility
 by Winfried Bruns, Joseph Gubeladze
 Language

 eng
 eng
 Summary
 This book treats the interaction between discrete convex geometry, commutative ring theory, algebraic Ktheory, and algebraic geometry. The basic mathematical objects are lattice polytopes, rational cones, affine monoids, the algebras derived from them, and toric varieties. The book discusses several properties and invariants of these objects, such as efficient generation, unimodular triangulations and covers, basic theory of monoid rings, isomorphism problems and automorphism groups, homological properties and enumerative combinatorics. The last part is an extensive treatment of the Ktheory of monoid rings, with extensions to toric varieties and their intersection theory. This monograph has been written with a view towards graduate students and researchers who want to study the crossconnections of algebra and discrete convex geometry. While the text has been written from an algebraist's view point, also specialists in lattice polytopes and related objects will find an uptodate discussion of affine monoids and their combinatorial structure. Though the authors do not explicitly formulate algorithms, the book takes a constructive approach wherever possible. Winfried Bruns is Professor of Mathematics at Universität Osnabrück. Joseph Gubeladze is Professor of Mathematics at San Francisco State University
 http://library.link/vocab/creatorName
 Bruns, Winfried
 Dewey number

 512.1
 512.6
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 0vgn0NT6wtQ
 SaU2Tz7bBhU
 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Gubeladze, Joseph.
 Series statement
 Springer Monographs in Mathematics,
 http://library.link/vocab/subjectName

 Algebra
 Ktheory
 Discrete groups
 Algebra
 Commutative Rings and Algebras
 KTheory
 Convex and Discrete Geometry
 Label
 Polytopes, Rings, and KTheory, by Winfried Bruns, Joseph Gubeladze, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 429443) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 I Cones, monoids, and triangulations  Polytopes, cones, and complexes  Affine monoids and their Hilbert bases  Multiples of lattice polytopes  II Affine monoid algebras  Monoid algebras  Isomorphisms and automorphisms  Homological properties and Hilbert functions  Gr#x00F6;bner bases, triangulations, and Koszul algebras  III Ktheory  Projective modules over monoid rings  Bass#x2013;Whitehead groups of monoid rings  Varieties
 Dimensions
 unknown
 Edition
 1.
 Extent
 1 online resource (460 p.)
 Form of item
 online
 Isbn
 9781282292147
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/b105283
 Specific material designation
 remote
 System control number

 (CKB)1000000000761499
 (EBL)450646
 (OCoLC)432702924
 (SSID)ssj0000773001
 (PQKBManifestationID)12279230
 (PQKBTitleCode)TC0000773001
 (PQKBWorkID)10825551
 (PQKB)10165271
 (SSID)ssj0000224364
 (PQKBManifestationID)11187356
 (PQKBTitleCode)TC0000224364
 (PQKBWorkID)10225585
 (PQKB)10598021
 (DEHe213)9780387763569
 (MiAaPQ)EBC450646
 (EXLCZ)991000000000761499
 Label
 Polytopes, Rings, and KTheory, by Winfried Bruns, Joseph Gubeladze, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 429443) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 I Cones, monoids, and triangulations  Polytopes, cones, and complexes  Affine monoids and their Hilbert bases  Multiples of lattice polytopes  II Affine monoid algebras  Monoid algebras  Isomorphisms and automorphisms  Homological properties and Hilbert functions  Gr#x00F6;bner bases, triangulations, and Koszul algebras  III Ktheory  Projective modules over monoid rings  Bass#x2013;Whitehead groups of monoid rings  Varieties
 Dimensions
 unknown
 Edition
 1.
 Extent
 1 online resource (460 p.)
 Form of item
 online
 Isbn
 9781282292147
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/b105283
 Specific material designation
 remote
 System control number

 (CKB)1000000000761499
 (EBL)450646
 (OCoLC)432702924
 (SSID)ssj0000773001
 (PQKBManifestationID)12279230
 (PQKBTitleCode)TC0000773001
 (PQKBWorkID)10825551
 (PQKB)10165271
 (SSID)ssj0000224364
 (PQKBManifestationID)11187356
 (PQKBTitleCode)TC0000224364
 (PQKBWorkID)10225585
 (PQKB)10598021
 (DEHe213)9780387763569
 (MiAaPQ)EBC450646
 (EXLCZ)991000000000761499
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Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/PolytopesRingsandKTheorybyWinfried/WHoux_2mp9U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/PolytopesRingsandKTheorybyWinfried/WHoux_2mp9U/">Polytopes, Rings, and KTheory, by Winfried Bruns, Joseph Gubeladze, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>