Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Gröbner bases in ring theory [[electronic resource] /] / Huishi Li
| Gröbner bases in ring theory [[electronic resource] /] / Huishi Li |
| Autore | Li Huishi |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (295 p.) |
| Disciplina | 512.4 |
| Soggetto topico |
Gröbner bases
Rings (Algebra) |
| ISBN | 981-4365-14-9 |
| Classificazione | SK 230 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 0. Introduction; 1. Preliminaries; 1.1 Presenting Algebras by Relations; 1.2 S-Graded Algebras and Modules; 1.3 -Filtered Algebras and Modules; 2. The -Leading Homogeneous Algebra A LH; 2.1 Recognizing A via G (A): Part 1; 2.2 Recognizing A via G (A): Part 2; 2.3 The -Graded Isomorphism A LH G (A); 2.4 Recognizing A via A LH; 3. Grobner Bases: Conception and Construction; 3.1 Monomial Ordering and Admissible System; 3.2 Division Algorithm and Grobner Basis; 3.3 Grobner Bases and Normal Elements; 3.4 Grobner Bases w.r.t. Skew Multiplicative K-Bases
3.5 Grobner Bases in KhX1, . . . ,Xni and KQ3.6 (De)homogenized Grobner Bases; 3.7 dh-Closed Homogeneous Grobner Bases; 4. Grobner Basis Theory Meets PBW Theory; 4.1 -Standard Basis and -PBW Isomorphism; 4.2 Realizing - PBW Isomorphism by Grobner Basis; 4.3 Classical PBW K-Bases vs Grobner Bases; 4.4 Solvable Polynomial Algebras Revisited; 5. Using AB LH in Terms of Grobner Bases; 5.1 The Working Strategy; 5.2 Ufnarovski Graph; 5.3 Determination of Gelfand-Kirillov Dimension; 5.4 Recognizing Noetherianity; 5.5 Recognizing (Semi-)Primeness and PI-Property 5.6 Anick's Resolution over Monomial Algebras5.7 Recognizing Finiteness of Global Dimension; 5.8 Determination of Hilbert Series; 6. Recognizing (Non-)Homogeneous p-Koszulity via ABLH; 6.1 (Non-)Homogeneous p-Koszul Algebras; 6.2 Anick's Resolution and Homogeneous p-Koszulity; 6.3 Working in Terms of Grobner Bases; 7. A Study of Rees Algebra by Grobner Bases; 7.1 Defining A by G*; 7.2 Defining A by G; 7.3 Recognizing Structural Properties of A via G; 7.4 An Application to Regular Central Extensions; 7.5 Algebras Defined by dh-Closed Homogeneous Grobner Bases; 8. Looking for More Grobner Bases 8.1 Lifting (Finite) Grobner Bases from On(λji)8.2 Lifting (Finite) Grobner Bases from a Class of Algebras; 8.3 New Examples of Grobner Basis Theory; 8.4 Skew 2-Nomial Algebras; 8.5 Almost Skew 2-Nomial Algebras; Bibliography; Index |
| Record Nr. | UNINA-9910823873603321 |
Li Huishi
|
||
| Singapore, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner Bases and the Computation of Group Cohomology [[electronic resource] /] / by David J. Green
| Gröbner Bases and the Computation of Group Cohomology [[electronic resource] /] / by David J. Green |
| Autore | Green David J |
| Edizione | [1st ed. 2003.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
| Descrizione fisica | 1 online resource (XII, 144 p.) |
| Disciplina | 510 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Group theory
Associative rings Rings (Algebra) Group Theory and Generalizations Associative Rings and Algebras |
| ISBN | 3-540-39680-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Part I Constructing minimal resolutions: Bases for finite-dimensional algebras and modules; The Buchberger Algorithm for modules; Constructing minimal resolutions -- Part II Cohomology ring structure: Gröbner bases for graded commutative algebras; The visible ring structure; The completeness of the presentation -- Part III Experimental results: Experimental results -- A. Sample cohomology calculations -- Epilogue -- References -- Index. |
| Record Nr. | UNISA-996466490603316 |
|
Green David J
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Gröbner Bases and the Computation of Group Cohomology / / by David J. Green
| Gröbner Bases and the Computation of Group Cohomology / / by David J. Green |
| Autore | Green David J |
| Edizione | [1st ed. 2003.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
| Descrizione fisica | 1 online resource (XII, 144 p.) |
| Disciplina | 510 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Group theory
Associative rings Rings (Algebra) Group Theory and Generalizations Associative Rings and Algebras |
| ISBN | 3-540-39680-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Part I Constructing minimal resolutions: Bases for finite-dimensional algebras and modules; The Buchberger Algorithm for modules; Constructing minimal resolutions -- Part II Cohomology ring structure: Gröbner bases for graded commutative algebras; The visible ring structure; The completeness of the presentation -- Part III Experimental results: Experimental results -- A. Sample cohomology calculations -- Epilogue -- References -- Index. |
| Record Nr. | UNINA-9910144620303321 |
|
Green David J
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases and the computation of group cohomology [e-book] / David J. Green
| Gröbner bases and the computation of group cohomology [e-book] / David J. Green |
| Autore | Green, David J. |
| Pubbl/distr/stampa | Berlin ; New York : Springer, c2003 |
| Descrizione fisica | 1 online resource (xi, 138 p.) |
| Disciplina | 512.46 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1828 |
| Soggetto topico |
Associative rings
Rings (Algebra) Representations of groups Homology theory |
| ISBN | 9783540203391 |
| Classificazione |
AMS 20J06
AMS 16S15 AMS 16E05 AMS 16Z05 AMS 20C05 AMS 20D15 LC QA3.L28 |
| Formato | Software  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Bases for finite-dimensional algebras and modules ; The Buchberger algorithm for modules ; Constructing minimal resolutions ; Gröbner bases for graded commutative algebras ; The visible ring structure ; The completeness of the presentation ; Experimental results |
| Record Nr. | UNISALENTO-991002847729707536 |
|
Green, David J.
|
||
| Berlin ; New York : Springer, c2003 | ||
| Software | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Gröbner bases and the computation of group cohomology / David J. Green
| Gröbner bases and the computation of group cohomology / David J. Green |
| Autore | Green, David J. |
| Pubbl/distr/stampa | Berlin : Springer, 2003 |
| Descrizione fisica | xi, 138 p. : ill. ; 24 cm |
| Disciplina | 512.46 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1828 |
| Soggetto topico |
Associative rings
Rings (Algebra) Representations of groups Homology theory |
| ISBN | 3540203397 |
| Classificazione |
AMS 20J06
AMS 16S15 AMS 16E05 AMS 16Z05 AMS 20C05 AMS 20D15 LC QA3.L28 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000230789707536 |
|
Green, David J.
|
||
| Berlin : Springer, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
A guide to groups, rings, and fields [[electronic resource] /] / Fernando Q. Gouvêa
| A guide to groups, rings, and fields [[electronic resource] /] / Fernando Q. Gouvêa |
| Autore | Gouvêa Fernando Q (Fernando Quadros) |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 2012 |
| Descrizione fisica | 1 online resource (328 p.) |
| Disciplina | 512 |
| Collana |
Dolciani mathematical expositions
MAA guides |
| Soggetto topico |
Algebra
Rings (Algebra) Algebraic fields |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61444-211-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""copyright page ""; ""title page ""; ""Contents""; ""Preface""; ""A Guide to this Guide""; ""Algebra: Classical, Modern, and Ultramodern""; ""The Beginnings of Modern Algebra""; ""Modern Algebra""; ""Ultramodern Algebra""; ""What Next?""; ""Categories""; ""Categories""; ""Functors""; ""Natural Transformations""; ""Products, Coproducts, and Generalizations""; ""Algebraic Structures""; ""Structures with One Operation""; ""Rings""; ""Actions""; ""Semirings""; ""Algebras""; ""Ordered Structures""; ""Groups and their Representations""; ""Definitions""; ""Groups and homomorphisms""; ""Subgroups""
""Finitely generated groups and the Burnside problem""""Other nice subgroups""; ""Conjugation and the class equation""; ""p-groups""; ""Sylow's Theorem and Sylow subgroups""; ""Sequences of Subgroups""; ""Composition series""; ""Central series, derived series, nilpotent, solvable""; ""New Groups from Old""; ""Direct products""; ""Semidirect products""; ""Isometries of R3""; ""Free products""; ""Direct sums of abelian groups""; ""Inverse limits and direct limits""; ""Generators and Relations""; ""Definition and examples""; ""Cayley graphs""; ""The word problem""; ""Abelian Groups"" ""Torsion""""The structure theorem""; ""Small Groups""; ""Order four, order p2""; ""Order six, order pq""; ""Order eight, order p3""; ""And so on""; ""Groups of Permutations""; ""Cycle notation and cycle structure""; ""Conjugation and cycle structure""; ""Transpositions as generators""; ""Signs and the alternating groups""; ""Transitive subgroups""; ""Automorphism group of S_n""; ""Some Linear Groups""; ""Definitions and examples""; ""Generators""; ""The regular representation""; ""Diagonal and upper triangular""; ""Normal subgroups""; ""PGL""; ""Linear groups over finite fields"" ""Representations of Finite Groups""""Definitions""; ""Examples""; ""Constructions""; ""Decomposing into irreducibles""; ""Direct products""; ""Characters""; ""Character tables""; ""Going through quotients""; ""Going up and down""; ""Representations of S_4""; ""Rings and Modules""; ""Definitions""; ""Rings""; ""Modules""; ""Torsion""; ""Bimodules""; ""Ideals""; ""Restriction of scalars""; ""Rings with few ideals""; ""More Examples, More Definitions""; ""The integers""; ""Fields and skew fields""; ""Polynomials""; ""R-algebras""; ""Matrix rings""; ""Group algebras""; ""Monsters"" ""Some examples of modules"" |
| Record Nr. | UNINA-9910463203303321 |
|
Gouvêa Fernando Q (Fernando Quadros)
|
||
| Washington, D.C., : Mathematical Association of America, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A guide to groups, rings, and fields / / Fernando Q. Gouvêa [[electronic resource]]
| A guide to groups, rings, and fields / / Fernando Q. Gouvêa [[electronic resource]] |
| Autore | Gouvêa Fernando Q (Fernando Quadros) |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2012 |
| Descrizione fisica | 1 online resource (xvii, 309 pages) : digital, PDF file(s) |
| Disciplina | 512 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions MAA guides |
| Soggetto topico |
Algebra
Rings (Algebra) Algebraic fields |
| ISBN | 1-61444-211-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Algebra : classical, modern, and ultramodern -- Categories -- Algebraic structures -- Groups and their representations -- Rings and modules -- Fields and skew fields. |
| Altri titoli varianti | A Guide to Groups, Rings, & Fields |
| Record Nr. | UNINA-9910786153303321 |
|
Gouvêa Fernando Q (Fernando Quadros)
|
||
| Washington : , : Mathematical Association of America, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A guide to groups, rings, and fields / / Fernando Q. Gouvêa [[electronic resource]]
| A guide to groups, rings, and fields / / Fernando Q. Gouvêa [[electronic resource]] |
| Autore | Gouvêa Fernando Q (Fernando Quadros) |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2012 |
| Descrizione fisica | 1 online resource (xvii, 309 pages) : digital, PDF file(s) |
| Disciplina | 512 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions MAA guides |
| Soggetto topico |
Algebra
Rings (Algebra) Algebraic fields |
| ISBN | 1-61444-211-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Algebra : classical, modern, and ultramodern -- Categories -- Algebraic structures -- Groups and their representations -- Rings and modules -- Fields and skew fields. |
| Altri titoli varianti | A Guide to Groups, Rings, & Fields |
| Record Nr. | UNINA-9910823286503321 |
|
Gouvêa Fernando Q (Fernando Quadros)
|
||
| Washington : , : Mathematical Association of America, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hopf Algebras and Their Generalizations from a Category Theoretical Point of View [[electronic resource] /] / by Gabriella Böhm
| Hopf Algebras and Their Generalizations from a Category Theoretical Point of View [[electronic resource] /] / by Gabriella Böhm |
| Autore | Böhm Gabriella |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XI, 165 p. 239 illus.) |
| Disciplina | 512.55 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Category theory (Mathematics)
Homological algebra Associative rings Rings (Algebra) Category Theory, Homological Algebra Associative Rings and Algebras |
| ISBN | 3-319-98137-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466628503316 |
|
Böhm Gabriella
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Hopf Algebras and Their Generalizations from a Category Theoretical Point of View / / by Gabriella Böhm
| Hopf Algebras and Their Generalizations from a Category Theoretical Point of View / / by Gabriella Böhm |
| Autore | Böhm Gabriella |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XI, 165 p. 239 illus.) |
| Disciplina | 512.55 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Category theory (Mathematics)
Homological algebra Associative rings Rings (Algebra) Category Theory, Homological Algebra Associative Rings and Algebras |
| ISBN | 3-319-98137-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910300116903321 |
|
Böhm Gabriella
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Rings (Algebra)
(263)
- Associative rings (100)
- Associative Rings and Algebras (90)
- Group theory (48)
- Algebra (46)