LEADER 02285nas 2200661-a 450 001 9910143531703321 005 20240116213021.0 011 $a1638-6248 035 $a(OCoLC)55843121 035 $a(CKB)111087580658026 035 $a(CONSER)--2005249155 035 $a(DE-599)ZDB2170937-3 035 $a(EXLCZ)99111087580658026 100 $a20040705b20042005 s-- - 101 0 $afre 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aEMC$iNéphrologie 210 $a[Paris] $c[Éditions scientifique et médicales Elsevier SAS]$d2004-2005 300 $aTitle from journal homepage (ScienceDirect, viewed July 5, 2004). 330 $aThe journal (electronic only) covers all aspects of the anatomy, physiology, and pathology of the kidney. Topics include early and chronic kidney diseases, kidney failure, technical aspects of dialysis, renal transplantation indications and management. 517 1 $aEncyclopédie Médico-Chirurgicale. 517 3 $aNéphrologie 606 $aKidneys$xDiseases$vPeriodicals 606 $aNephrology$vPeriodicals 606 $aKidney Diseases 606 $aRenal Insufficiency 606 $aRenal Dialysis 606 $aKidney Transplantation 606 $aKidneys$xDiseases$2fast$3(OCoLC)fst00987389 606 $aNephrology$2fast$3(OCoLC)fst01035991 606 $aHémodialyse$2rasuqam 606 $aInsuffisance rénale$2rasuqam 606 $aMaladie rénale$2rasuqam 606 $aNéphrologie$2rasuqam 608 $aPeriodical. 608 $aPeriodicals.$2fast 608 $aPeriodicals.$2lcgft 608 $aPériodique électronique (Descripteur de forme)$2rasuqam 608 $aRessource Internet (Descripteur de forme)$2rasuqam 615 0$aKidneys$xDiseases 615 0$aNephrology 615 2$aKidney Diseases. 615 2$aRenal Insufficiency. 615 2$aRenal Dialysis. 615 2$aKidney Transplantation. 615 7$aKidneys$xDiseases. 615 7$aNephrology. 615 7$aHémodialyse. 615 7$aInsuffisance rénale. 615 7$aMaladie rénale. 615 17$aNéphrologie. 906 $aJOURNAL 912 $a9910143531703321 996 $aEMC$91890538 997 $aUNINA LEADER 04126nam 22006375 450 001 9910300140403321 005 20200630001108.0 010 $a3-319-95349-4 024 7 $a10.1007/978-3-319-95349-6 035 $a(CKB)4100000006999241 035 $a(DE-He213)978-3-319-95349-6 035 $a(MiAaPQ)EBC6311851 035 $a(PPN)230539289 035 $a(EXLCZ)994100000006999241 100 $a20180928d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBinomial Ideals /$fby Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XIX, 321 p. 55 illus., 4 illus. in color.) 225 1 $aGraduate Texts in Mathematics,$x0072-5285 ;$v279 311 $a3-319-95347-8 327 $aPart I: Basic Concepts -- Polynomial Rings and Gröbner Bases -- Review of Commutative Algebra -- Part II:Binomial Ideals and Convex Polytopes -- Introduction to Binomial Ideals -- Convex Polytopes and Unimodular Triangulations -- Part III. Applications in Combinatorics and Statistics- Edge Polytopes and Edge Rings -- Join-Meet Ideals of Finite Lattices -- Binomial Edge Ideals and Related Ideals -- Ideals Generated by 2-Minors -- Statistics -- References -- Index. 330 $aThis textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals. In addition to thorough coverage of the basic concepts and theory, it explores current trends, results, and applications of binomial ideals to other areas of mathematics. The book begins with a brief, self-contained overview of the modern theory of Gröbner bases and the necessary algebraic and homological concepts from commutative algebra. Binomials and binomial ideals are then considered in detail, along with a short introduction to convex polytopes. Chapters in the remainder of the text can be read independently and explore specific aspects of the theory of binomial ideals, including edge rings and edge polytopes, join-meet ideals of finite lattices, binomial edge ideals, ideals generated by 2-minors, and binomial ideals arising from statistics. Each chapter concludes with a set of exercises and a list of related topics and results that will complement and offer a better understanding of the material presented. Binomial Ideals is suitable for graduate students in courses on commutative algebra, algebraic combinatorics, and statistics. Additionally, researchers interested in any of these areas but familiar with only the basic facts of commutative algebra will find it to be a valuable resource. 410 0$aGraduate Texts in Mathematics,$x0072-5285 ;$v279 606 $aCommutative algebra 606 $aCommutative rings 606 $aConvex geometry 606 $aDiscrete geometry 606 $aCombinatorial analysis 606 $aCommutative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11043 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 615 0$aCommutative algebra. 615 0$aCommutative rings. 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 0$aCombinatorial analysis. 615 14$aCommutative Rings and Algebras. 615 24$aConvex and Discrete Geometry. 615 24$aCombinatorics. 676 $a512.9 700 $aHerzog$b Jürgen$4aut$4http://id.loc.gov/vocabulary/relators/aut$0732133 702 $aHibi$b Takayuki$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aOhsugi$b Hidefumi$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300140403321 996 $aBinomial Ideals$91991481 997 $aUNINA