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Manis Valuations and Prüfer Extensions I [[electronic resource] ] : A New Chapter in Commutative Algebra / / by Manfred Knebusch, Digen Zhang
| Manis Valuations and Prüfer Extensions I [[electronic resource] ] : A New Chapter in Commutative Algebra / / by Manfred Knebusch, Digen Zhang |
| Autore | Knebusch Manfred |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
| Descrizione fisica | 1 online resource (CCLXXXIV, 274 p.) |
| Disciplina | 512.24 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Commutative algebra
Commutative rings Algebraic geometry Commutative Rings and Algebras Algebraic Geometry |
| ISBN | 3-540-45625-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Basics on Manis valuations and Prüfer extensions -- Multiplicative ideal theory -- PM-valuations and valuations of weaker type -- Appendix A: Flat epimorphisms -- Appendix B: Arithmetical rings -- Appendix C: A direct proof of the existence of Manis valuation hulls -- References -- Index. |
| Record Nr. | UNINA-9910144941303321 |
Knebusch Manfred
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Manis Valuations and Prüfer Extensions I [[electronic resource] ] : A New Chapter in Commutative Algebra / / by Manfred Knebusch, Digen Zhang
| Manis Valuations and Prüfer Extensions I [[electronic resource] ] : A New Chapter in Commutative Algebra / / by Manfred Knebusch, Digen Zhang |
| Autore | Knebusch Manfred |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
| Descrizione fisica | 1 online resource (CCLXXXIV, 274 p.) |
| Disciplina | 512.24 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Commutative algebra
Commutative rings Algebraic geometry Commutative Rings and Algebras Algebraic Geometry |
| ISBN | 3-540-45625-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Basics on Manis valuations and Prüfer extensions -- Multiplicative ideal theory -- PM-valuations and valuations of weaker type -- Appendix A: Flat epimorphisms -- Appendix B: Arithmetical rings -- Appendix C: A direct proof of the existence of Manis valuation hulls -- References -- Index. |
| Record Nr. | UNISA-996466608303316 |
|
Knebusch Manfred
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Manis Valuations and Prüfer Extensions II [[electronic resource] /] / by Manfred Knebusch, Tobias Kaiser
| Manis Valuations and Prüfer Extensions II [[electronic resource] /] / by Manfred Knebusch, Tobias Kaiser |
| Autore | Knebusch Manfred |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XII, 190 p.) |
| Disciplina | 512.44 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Commutative algebra
Commutative rings Commutative Rings and Algebras |
| ISBN | 3-319-03212-7 |
| Classificazione | 13A1813A1513F0513F3013B3011J61 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Overrings and PM-Spectra -- Approximation Theorems -- Kronecker extensions and star operations -- Basics on Manis valuations and Prufer extensions -- Multiplicative ideal theory -- PM-valuations and valuations of weaker type -- Overrings and PM-Spectra -- Approximation Theorems -- Kronecker extensions and star operations -- Appendix -- References -- Index. |
| Record Nr. | UNISA-996203276603316 |
|
Knebusch Manfred
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Manis Valuations and Prüfer Extensions II [[electronic resource] /] / by Manfred Knebusch, Tobias Kaiser
| Manis Valuations and Prüfer Extensions II [[electronic resource] /] / by Manfred Knebusch, Tobias Kaiser |
| Autore | Knebusch Manfred |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XII, 190 p.) |
| Disciplina | 512.44 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Commutative algebra
Commutative rings Commutative Rings and Algebras |
| ISBN | 3-319-03212-7 |
| Classificazione | 13A1813A1513F0513F3013B3011J61 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Overrings and PM-Spectra -- Approximation Theorems -- Kronecker extensions and star operations -- Basics on Manis valuations and Prufer extensions -- Multiplicative ideal theory -- PM-valuations and valuations of weaker type -- Overrings and PM-Spectra -- Approximation Theorems -- Kronecker extensions and star operations -- Appendix -- References -- Index. |
| Record Nr. | UNINA-9910300150403321 |
|
Knebusch Manfred
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Real algebra : a first course / / Manfred Knebusch, Claus Scheiderer
| Real algebra : a first course / / Manfred Knebusch, Claus Scheiderer |
| Autore | Knebusch Manfred |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (217 pages) |
| Disciplina | 512 |
| Collana | Universitext |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-09800-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Preface to Einführung in die reelle Algebra -- Contents -- 1 Ordered Fields and Their Real Closures -- 1.1 Orderings and Preorderings of Fields -- 1.2 Quadratic Forms, Witt Rings, Signatures -- 1.3 Extension of Orderings -- 1.4 The Prime Ideals of the Witt Ring -- 1.5 Real Closed Fields and Their Field Theoretic Characterization -- 1.6 Galois Theoretic Characterization of Real Closed Fields -- 1.7 Counting Real Zeroes of Polynomials (without Multiplicities) -- 1.8 Conceptual Interpretation of the Sylvester Form -- 1.9 Cauchy Index of a Rational Function, Bézoutian and Hankel Forms -- 1.10 An Upper Bound for the Number of Real Zeroes (with Multiplicities) -- 1.11 The Real Closure of an Ordered Field -- 1.12 Transfer of Quadratic Forms -- 2 Convex Valuation Rings and Real Places -- 2.1 Convex Subrings of Ordered Fields -- 2.2 Valuation Rings -- 2.3 Integral Elements -- 2.4 Valuations, Ideals of Valuation Rings -- 2.5 Residue Fields and Subfields of Convex Valuation Rings -- 2.6 The Topology of Ordered and Valued Fields -- 2.7 The Baer-Krull Theorem -- 2.8 Places -- 2.9 The Orderings of R(t), ps: [/EMC pdfmark [/Subtype /Span /ActualText (upper R left parenthesis left parenthesis t right parenthesis right parenthesis) /StPNE pdfmark [/StBMC pdfmarkR((t))ps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark and ps: [/EMC pdfmark [/Subtype /Span /ActualText (upper Q u o t double struck upper R left brace t right brace) /StPNE pdfmark [/StBMC pdfmark`3́9`42`"̇613A``45`47`"603AQuotR{t}ps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark -- 2.10 Composition and Decomposition of Places -- 2.11 Existence of Real Places of Function Fields -- 2.12 Artin's Solution of Hilbert's 17th Problem and the Sign Change Criterion -- 3 The Real Spectrum -- 3.1 The Zariski Spectrum. Affine Varieties -- 3.2 Reality for Commutative Rings.
3.3 Definition of the Real Spectrum -- 3.4 Constructible Subsets and Spectral Spaces -- 3.5 The Geometric Setting: Semialgebraic Sets and Filter Theorems -- 3.6 The Space of Closed Points -- 3.7 Specializations and Convex Ideals -- 3.8 The Real Spectrum and the Reduced Witt Ring of a Field -- 3.9 Preorderings of Rings and Positivstellensätze -- 3.10 The Convex Radical Ideals Associated to a Preordering -- 3.11 Boundedness -- 3.12 Prüfer Rings and the Real Holomorphy Ring of a Field -- 4 Recent Developments -- 4.1 Counting Real Solutions -- 4.2 Quadratic Forms -- 4.3 Stellensätze -- 4.4 Noncommutative Stellensätze -- References -- Symbol Index -- Index. |
| Record Nr. | UNINA-9910620196703321 |
|
Knebusch Manfred
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Real algebra : a first course / / Manfred Knebusch, Claus Scheiderer
| Real algebra : a first course / / Manfred Knebusch, Claus Scheiderer |
| Autore | Knebusch Manfred |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (217 pages) |
| Disciplina | 512 |
| Collana | Universitext |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-09800-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Preface to Einführung in die reelle Algebra -- Contents -- 1 Ordered Fields and Their Real Closures -- 1.1 Orderings and Preorderings of Fields -- 1.2 Quadratic Forms, Witt Rings, Signatures -- 1.3 Extension of Orderings -- 1.4 The Prime Ideals of the Witt Ring -- 1.5 Real Closed Fields and Their Field Theoretic Characterization -- 1.6 Galois Theoretic Characterization of Real Closed Fields -- 1.7 Counting Real Zeroes of Polynomials (without Multiplicities) -- 1.8 Conceptual Interpretation of the Sylvester Form -- 1.9 Cauchy Index of a Rational Function, Bézoutian and Hankel Forms -- 1.10 An Upper Bound for the Number of Real Zeroes (with Multiplicities) -- 1.11 The Real Closure of an Ordered Field -- 1.12 Transfer of Quadratic Forms -- 2 Convex Valuation Rings and Real Places -- 2.1 Convex Subrings of Ordered Fields -- 2.2 Valuation Rings -- 2.3 Integral Elements -- 2.4 Valuations, Ideals of Valuation Rings -- 2.5 Residue Fields and Subfields of Convex Valuation Rings -- 2.6 The Topology of Ordered and Valued Fields -- 2.7 The Baer-Krull Theorem -- 2.8 Places -- 2.9 The Orderings of R(t), ps: [/EMC pdfmark [/Subtype /Span /ActualText (upper R left parenthesis left parenthesis t right parenthesis right parenthesis) /StPNE pdfmark [/StBMC pdfmarkR((t))ps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark and ps: [/EMC pdfmark [/Subtype /Span /ActualText (upper Q u o t double struck upper R left brace t right brace) /StPNE pdfmark [/StBMC pdfmark`3́9`42`"̇613A``45`47`"603AQuotR{t}ps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark -- 2.10 Composition and Decomposition of Places -- 2.11 Existence of Real Places of Function Fields -- 2.12 Artin's Solution of Hilbert's 17th Problem and the Sign Change Criterion -- 3 The Real Spectrum -- 3.1 The Zariski Spectrum. Affine Varieties -- 3.2 Reality for Commutative Rings.
3.3 Definition of the Real Spectrum -- 3.4 Constructible Subsets and Spectral Spaces -- 3.5 The Geometric Setting: Semialgebraic Sets and Filter Theorems -- 3.6 The Space of Closed Points -- 3.7 Specializations and Convex Ideals -- 3.8 The Real Spectrum and the Reduced Witt Ring of a Field -- 3.9 Preorderings of Rings and Positivstellensätze -- 3.10 The Convex Radical Ideals Associated to a Preordering -- 3.11 Boundedness -- 3.12 Prüfer Rings and the Real Holomorphy Ring of a Field -- 4 Recent Developments -- 4.1 Counting Real Solutions -- 4.2 Quadratic Forms -- 4.3 Stellensätze -- 4.4 Noncommutative Stellensätze -- References -- Symbol Index -- Index. |
| Record Nr. | UNISA-996495168503316 |
|
Knebusch Manfred
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Weakly semialgebraic spaces / / Manfred Knebusch
| Weakly semialgebraic spaces / / Manfred Knebusch |
| Autore | Knebusch Manfred |
| Edizione | [1st ed. 1989.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1989] |
| Descrizione fisica | 1 online resource (CD, 378 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Algebraic spaces
Homotopy theory |
| ISBN | 3-540-46089-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic theory of weakly semialgebraic spaces -- Patch complexes, and homotopies again -- Homology and cohomology -- Simplicial spaces. |
| Record Nr. | UNISA-996466647203316 |
|
Knebusch Manfred
|
||
| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1989] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||