Numerical Semigroups and Applications (Record no. 426533)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03668nam a22005775i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319413303 |
| -- | 978-3-319-41330-3 |
| 024 7# - | |
| -- | 10.1007/978-3-319-41330-3 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA564-609 |
| 072 #7 - | |
| -- | PBMW |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT012010 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBMW |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.35 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Assi, Abdallah. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Numerical Semigroups and Applications |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Abdallah Assi, Pedro A. García-Sánchez. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2016. |
| 300 ## - | |
| -- | XIV, 106 p. 5 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | RSME Springer Series, |
| -- | 2509-8888 ; |
| -- | 1 |
| 505 0# - | |
| -- | 1 Numerical semigroups, the basics -- 2 Irreducible numerical semigroups -- 3 Semigroup of an irreducible meromorphic series -- 4 Minimal presentations -- 5 Factorizations and divisibility. |
| 520 ## - | |
| -- | This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students (especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research. |
| 650 #0 - | |
| -- | Geometry, algebraic. |
| 650 #0 - | |
| -- | Algebra. |
| 650 #0 - | |
| -- | Algorithms. |
| 650 #0 - | |
| -- | Combinatorics. |
| 650 #0 - | |
| -- | Computational complexity. |
| 650 14 - | |
| -- | Algebraic Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11019 |
| 650 24 - | |
| -- | Commutative Rings and Algebras. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11043 |
| 650 24 - | |
| -- | Algorithms. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M14018 |
| 650 24 - | |
| -- | Combinatorics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M29010 |
| 650 24 - | |
| -- | Discrete Mathematics in Computer Science. |
| -- | http://scigraph.springernature.com/things/product-market-codes/I17028 |
| 700 1# - | |
| -- | García-Sánchez, Pedro A. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319413297 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319413310 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319823256 |
| 830 #0 - | |
| -- | RSME Springer Series, |
| -- | 2509-8888 ; |
| -- | 1 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-41330-3 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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