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| Author | : Abdallah Assi |
| Publisher | : Springer Nature |
| Total Pages | : 138 |
| Release | : 2020-10-01 |
| Genre | : Mathematics |
| ISBN | : 3030549437 |
Download Numerical Semigroups and Applications Book 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.
| Author | : J.C. Rosales |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 186 |
| Release | : 2009-12-24 |
| Genre | : Mathematics |
| ISBN | : 1441901604 |
Download Numerical Semigroups Book 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.
| Author | : Valentina Barucci |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 95 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 0821805444 |
Download Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains Book 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.
| Author | : Valentina Barucci |
| Publisher | : Springer Nature |
| Total Pages | : 373 |
| Release | : 2020-05-13 |
| Genre | : Mathematics |
| ISBN | : 3030408221 |
Download Numerical Semigroups Book 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.
| Author | : Valentina Barucci |
| Publisher | : |
| Total Pages | : 78 |
| Release | : 1997 |
| Genre | : Ideals |
| ISBN | : 9781470401832 |
Download Maximality Properties in Numerical Semigroups and Applications to One-dimensional Analytically Irreducible Local Domains Book in PDF, ePub and Kindle
| Author | : Eli Leher |
| Publisher | : |
| Total Pages | : 80 |
| Release | : 2007 |
| Genre | : |
| ISBN | : |
Download Applications of the Minimal Transversal Method in Numerical Semigroups Book in PDF, ePub and Kindle
| Author | : Harold Justin Smith |
| Publisher | : |
| Total Pages | : 56 |
| Release | : 2010 |
| Genre | : |
| ISBN | : |
Download Fractions of Numerical Semigroups Book in PDF, ePub and Kindle
Let S and T be numerical semigroups and let k be a positive integer. We say that S is the quotient of T by k if an integer x belongs to S if and only if kx belongs to T. Given any integer k larger than 1 (resp., larger than 2), every numerical semigroup S is the quotient T/k of infinitely many symmetric (resp., pseudo-symmetric) numerical semigroups T by k. Related examples, probabilistic results, and applications to ring theory are shown. Given an arbitrary positive integer k, it is not true in general that every numerical semigroup S is the quotient of infinitely many numerical semigroups of maximal embedding dimension by k. In fact, a numerical semigroup S is the quotient of infinitely many numerical semigroups of maximal embedding dimension by each positive integer k larger than 1 if and only if S is itself of maximal embedding dimension. Nevertheless, for each numerical semigroup S, for all sufficiently large positive integers k, S is the quotient of a numerical semigroup of maximal embedding dimension by k. Related results and examples are also given.
| Author | : Eli Leher |
| Publisher | : |
| Total Pages | : 80 |
| Release | : 2007 |
| Genre | : |
| ISBN | : |
Download Applications of the Minimal Trasversal Method in Numerical Semigroups Book in PDF, ePub and Kindle
| Author | : John M Howie |
| Publisher | : World Scientific |
| Total Pages | : 290 |
| Release | : 1998-12-08 |
| Genre | : |
| ISBN | : 9814545430 |
Download Semigroups And Applications Book in PDF, ePub and Kindle
This volume contains contributions from leading experts in the rapidly developing field of semigroup theory. The subject, now some 60 years old, began by imitating group theory and ring theory, but quickly developed an impetus of its own, and the semigroup turned out to be the most useful algebraic object in theoretical computer science.
| Author | : Edgar Martinez-Moro |
| Publisher | : World Scientific |
| Total Pages | : 334 |
| Release | : 2013 |
| Genre | : Computers |
| ISBN | : 9814335754 |
Download Algebraic Geometry Modeling in Information Theory Book in PDF, ePub and Kindle
Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.
