Numerical semigroups and applications
Assi, Abdallah
Numerical semigroups and applications [Documento eletrónico] / Abdallah Assi, Marco D'Anna, Pedro A. García-Sánchez. - 2nd ed. . - Cham : Springer International Publishing , 2020 . - XIV, 138 p. : il.. - (RSME Springer Series) ; vol. 3 This book is an extended and revised version of "Numerical Semigroups with Applications," published by Springer as part of the RSME series. Like the first edition, it presents applications of numerical semigroups in Algebraic Geometry, Number Theory and Coding Theory. It starts by discussing the basic notions related to numerical semigroups and those needed to understand semigroups associated with irreducible meromorphic series. It then derives a series of applications in curves and factorization invariants. A new chapter is included, which offers a detailed review of ideals for numerical semigroups. Based on this new chapter, descriptions of the module of Kähler differentials for an algebroid curve and for a polynomial curve are provided. Moreover, the concept of tame degree has been included, and is viewed in relation to other factorization invariants appearing in the first edition. This content highlights new applications of numerical semigroups and their ideals, following in the spirit of the first edition.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-030-54943-5
Algebraic geometry
Commutative algebra
Commutative rings
Algorithms
Discrete mathematics
Computer science
LCC QA564-609
Numerical semigroups and applications [Documento eletrónico] / Abdallah Assi, Marco D'Anna, Pedro A. García-Sánchez. - 2nd ed. . - Cham : Springer International Publishing , 2020 . - XIV, 138 p. : il.. - (RSME Springer Series) ; vol. 3 This book is an extended and revised version of "Numerical Semigroups with Applications," published by Springer as part of the RSME series. Like the first edition, it presents applications of numerical semigroups in Algebraic Geometry, Number Theory and Coding Theory. It starts by discussing the basic notions related to numerical semigroups and those needed to understand semigroups associated with irreducible meromorphic series. It then derives a series of applications in curves and factorization invariants. A new chapter is included, which offers a detailed review of ideals for numerical semigroups. Based on this new chapter, descriptions of the module of Kähler differentials for an algebroid curve and for a polynomial curve are provided. Moreover, the concept of tame degree has been included, and is viewed in relation to other factorization invariants appearing in the first edition. This content highlights new applications of numerical semigroups and their ideals, following in the spirit of the first edition.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-030-54943-5
Algebraic geometry
Commutative algebra
Commutative rings
Algorithms
Discrete mathematics
Computer science
LCC QA564-609
