Numerical Semigroups and Applications

Nonfiction, Science & Nature, Mathematics, Geometry, Algebra
Cover of the book Numerical Semigroups and Applications by Abdallah Assi, Pedro A. García-Sánchez, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Abdallah Assi, Pedro A. García-Sánchez ISBN: 9783319413303
Publisher: Springer International Publishing Publication: August 25, 2016
Imprint: Springer Language: English
Author: Abdallah Assi, Pedro A. García-Sánchez
ISBN: 9783319413303
Publisher: Springer International Publishing
Publication: August 25, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Deep-Sea Mining by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Jane Addams: Progressive Pioneer of Peace, Philosophy, Sociology, Social Work and Public Administration by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Serious Games by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Trends in Mathematics and Computational Intelligence by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Coring Methods and Systems by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book B Corp Entrepreneurs by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Rock and Romanticism by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Density-Functional Methods for Excited States by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Food in the Internet Age by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Acute Muscle Injuries by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Strengthening Teaching and Learning in Research Universities by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Biomedical Engineering Systems and Technologies by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Teaching Atlas of Hepatobiliary and Pancreatic Imaging by Abdallah Assi, Pedro A. García-Sánchez
Cover of the book Past, Present, and Future Possibilities for Philosophy and History of Education by Abdallah Assi, Pedro A. García-Sánchez
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy