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Numerical Semigroups and Applications

2020-10-01 Mathematics
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Release : 2020-10-01
Genre : Mathematics
Kind : eBook
Book Rating : 437/5 ( reviews)

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Book Synopsis Numerical Semigroups and Applications by : Abdallah Assi

Download or read book Numerical Semigroups and Applications written by Abdallah Assi. This book was released on 2020-10-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Semigroups

2009-12-24 Mathematics
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Release : 2009-12-24
Genre : Mathematics
Kind : eBook
Book Rating : 604/5 ( reviews)

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Book Synopsis Numerical Semigroups by : J.C. Rosales

Download or read book Numerical Semigroups written by J.C. Rosales. This book was released on 2009-12-24. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains

1997 Mathematics
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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 444/5 ( reviews)

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Book Synopsis Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains by : Valentina Barucci

Download or read book Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains written by Valentina Barucci. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Semigroups

2020-05-13 Mathematics
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Release : 2020-05-13
Genre : Mathematics
Kind : eBook
Book Rating : 221/5 ( reviews)

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Book Synopsis Numerical Semigroups by : Valentina Barucci

Download or read book Numerical Semigroups written by Valentina Barucci. This book was released on 2020-05-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Maximality Properties in Numerical Semigroups and Applications to One-dimensional Analytically Irreducible Local Domains

1997 Ideals
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Release : 1997
Genre : Ideals
Kind : eBook
Book Rating : 832/5 ( reviews)

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Book Synopsis Maximality Properties in Numerical Semigroups and Applications to One-dimensional Analytically Irreducible Local Domains by : Valentina Barucci

Download or read book Maximality Properties in Numerical Semigroups and Applications to One-dimensional Analytically Irreducible Local Domains written by Valentina Barucci. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt:

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