Maximality Properties in Numerical Semigroups and Applications to One-dimensional Analytically Irreducible Local Domains PDF Download
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Author: Valentina Barucci
Publisher:
ISBN: 9781470401832
Category : Ideals
Languages : en
Pages : 78
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Book Description
Author: Valentina Barucci
Publisher:
ISBN: 9781470401832
Category : Ideals
Languages : en
Pages : 78
Get Book
Book Description
Author: Valentina Barucci
Publisher: American Mathematical Soc.
ISBN: 0821805444
Category : Mathematics
Languages : en
Pages : 95
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Book Description
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: Ayman Badawi
Publisher: Nova Publishers
ISBN: 9781600210655
Category : Mathematics
Languages : en
Pages : 220
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Book Description
Focus on Commutative Rings Research
Author: Abdallah Assi
Publisher: Springer Nature
ISBN: 3030549437
Category : Mathematics
Languages : en
Pages : 138
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Book Description
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: Paul-Jean Cahen
Publisher: CRC Press
ISBN: 1000946762
Category : Mathematics
Languages : en
Pages : 489
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Book Description
Presents the proceedings of the Second International Conference on Commutative Ring Theory in Fes, Morocco. The text details developments in commutative algebra, highlighting the theory of rings and ideals. It explores commutative algebra's connections with and applications to topological algebra and algebraic geometry.
Author: Sergio R. López-Permouth
Publisher: Springer Science & Business Media
ISBN: 3034602863
Category : Mathematics
Languages : en
Pages : 345
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Book Description
This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.
Author: Cahen
Publisher: CRC Press
ISBN: 9780824791704
Category : Mathematics
Languages : en
Pages : 278
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Book Description
" Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"
Author: Valentina Barucci
Publisher: Springer Nature
ISBN: 3030408221
Category : Mathematics
Languages : en
Pages : 373
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Book Description
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: Marco Fontana
Publisher: Walter de Gruyter
ISBN: 311020746X
Category : Mathematics
Languages : en
Pages : 395
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Book Description
This volume contains selected refereed papers based on lectures presented at the 'Fifth International Fez Conference on Commutative Algebra and Applications' that was held in Fez, Morocco in June 2008. The volume represents new trends and areas of classical research within the field, with contributions from many different countries. In addition, the volume has as a special focus the research and influence of Alain Bouvier on commutative algebra over the past thirty years.
Author: Dane Laurence Flannery
Publisher: American Mathematical Soc.
ISBN: 0821806254
Category : Mathematics
Languages : en
Pages : 93
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Book Description
This memoir contains a complete classification of the finite irreducible 2-subgroups of GL(4, C). Specifically, the author provides a parametrized list of representatives for the conjugacy classes of such groups, where each representative is defined by generating a set of monomial matrices. The problem is treated by a variety of techniques, including: elementary character theory; a method for describing Hasse diagrams of submodule lattices; and calculation of 2-cohomology by means of the Lyndon-Hochschild-Serre spectral sequence. Related questions concerning isomorphism between the listed groups and Schur indices of their defining characters are also considered
