Numerical Semigroups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Semigroups write by J.C. Rosales. This book was released on 2009-12-24. Numerical Semigroups available in PDF, EPUB and Kindle. "Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.
Numerical Semigroups and Applications
Numerical Semigroups and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Semigroups and Applications write by Abdallah Assi. This book was released on 2016-08-25. Numerical Semigroups and Applications available in PDF, EPUB and Kindle. 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.
Numerical Semigroups
Numerical Semigroups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Semigroups write by Valentina Barucci. This book was released on 2020-05-13. Numerical Semigroups available in PDF, EPUB and Kindle. This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of the 2018 INdAM “International Meeting on Numerical Semigroups”, held in Cortona, Italy. Talks at the meeting centered not only on traditional types of numerical semigroups, such as Arf or symmetric, and their usual properties, but also on related types of semigroups, such as affine, Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book reflect the variety of the talks and derive from research areas including Semigroup Theory, Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory, and Number Theory. The book is intended for researchers and students who want to learn about recent developments in the theory of numerical semigroups and its connections with other research fields.
Numerical Semigroups and Applications
Numerical Semigroups and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Semigroups and Applications write by Abdallah Assi. This book was released on 2020-10-01. Numerical Semigroups and Applications available in PDF, EPUB and Kindle. 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.
Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains
Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains write by Valentina Barucci. This book was released on 1997. Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains available in PDF, EPUB and Kindle. In Chapter I, various (numerical) semigroup-theoretic concepts and constructions are introduced and characterized. Applications in Chapter II are made to the study of Noetherian local one-dimensional analytically irreducible integral domains, especially for the Gorenstein, maximal embedding dimension, and Arf cases, as well as to the so-called Kunz case, a pervasive kind of domain of Cohen-Macaulay type 2.
