國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Numerical semigroups and applications

Assi, Abdallah.

Numerical semigroups and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Numerical semigroups and applicationsby Abdallah Assi, Pedro A. Garcia-Sanchez.
作者:	Assi, Abdallah.
其他作者:	Garcia-Sanchez, Pedro A.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xiv, 106 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Semigroups.
電子資源:	http://dx.doi.org/10.1007/978-3-319-41330-3
ISBN:	9783319413303$q(electronic bk.)

Numerical semigroups and applications
Assi, Abdallah.

Numerical semigroups and applications[electronic resource] /by Abdallah Assi, Pedro A. Garcia-Sanchez. - Cham :Springer International Publishing :2016. - xiv, 106 p. :ill., digital ;24 cm. - RSME Springer series,v.12509-8888 ;. - RSME Springer series ;v.1..

1 Numerical semigroups, the basics -- 2 Irreducible numerical semigroups -- 3 Semigroup of an irreducible meromorphic series -- 4 Minimal presentations -- 5 Factorizations and divisibility.

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.

ISBN: 9783319413303$q(electronic bk.)

Standard No.: 10.1007/978-3-319-41330-3doiSubjects--Topical Terms:

239334
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512

Numerical semigroups and applications
LDR:02303nmm a2200325 a 4500 001 496278
003 DE-He213
005 20170217162403.0
006 m d
007 cr nn 008maaau
008 170323s2016 gw s 0 eng d
020 $a 9783319413303$q(electronic bk.)
020 $a 9783319413297$q(paper)
024 7 $a 10.1007/978-3-319-41330-3 $2 doi
035 $a 978-3-319-41330-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA182
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
082 0 4 $a 512 $2 23
090 $a QA182 $b .A848 2016
100 1 $a Assi, Abdallah. $3 758704
245 1 0 $a Numerical semigroups and applications $h [electronic resource] / $c by Abdallah Assi, Pedro A. Garcia-Sanchez.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xiv, 106 p. : $b ill., digital ; $c 24 cm.
490 1 $a RSME Springer series, $x 2509-8888 ; $v v.1
505 0 $a 1 Numerical semigroups, the basics -- 2 Irreducible numerical semigroups -- 3 Semigroup of an irreducible meromorphic series -- 4 Minimal presentations -- 5 Factorizations and divisibility.
520 $a 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 $a Semigroups. $3 239334
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Algorithms. $3 184661
650 2 4 $a Combinatorics. $3 274788
650 2 4 $a Discrete Mathematics in Computer Science. $3 274791
700 1 $a Garcia-Sanchez, Pedro A. $3 758705
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a RSME Springer series ; $v v.1. $3 758706
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-41330-3
950 $a Mathematics and Statistics (Springer-11649)