Open Advanced Search

Log in
Enterprise Plans
Free Trial

Log in
Free Trial
Enterprise Plans
Browse
Features
Pricing

DeepDyve

Advanced Search

show/hide query preview

With all of the words or DOIs:

DeepDyve's default query mode: search by keyword or DOI.

With the exact phrase:

Require these words, in this exact order. Do not surround your terms in double-quotes ("") in this field.

With at least one of the words:

Find any of these words, separated by spaces

Without the words:

Exclude each of these words, separated by spaces

With words in the article title:

Search for these terms only in the title of an article

Published between the years:

With the following authors:

Most effective as: LastName, First Name or Lastname, FN

With words in the journal name:

Search for articles published in journals where these words are in the journal name

Reset filters

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

Numerical Semigroups

Part of the Developments in Mathematics Book Series (volume 20)

DOI: 10.1007/978-1-4419-0160-6

ISBN: 978-1-4419-0159-0

Publisher: Springer New York - Springer Journals

Aug 21, 2009

1 - 10 of 11 Chapters

LitStream

Chapter 1Introduction

Rosales, J.C.; García-Sánchez, P.A.

Pages: 1 –3

[Let ℕ be the set of nonnegative integers. A numerical semigroup is a nonempty subset S of ℕ that is closed under addition, contains the zero element, and whose complement in ℕ is finite.]
LitStream

Chapter 2Notable elements

Rosales, J.C.; García-Sánchez, P.A.

Pages: 5 –18

[The study of numerical semigroups is equivalent to that of nonnegative integer solutions to a linear nonhomogeneous equation with positive integer coefficients. Thus it is a classic problem that has been widely treated in the literature (see [12, 13, 22, 28, 42, 101, 102]). Following this...
LitStream

Chapter 3Numerical semigroups with maximal embedding dimension

Rosales, J.C.; García-Sánchez, P.A.

Pages: 19 –32

[Even though the study and relevance of maximal embedding dimension numerical semigroups arises in a natural way among the other numerical semigroups, they have become specially renowned due to the existing applications to commutative algebra via their associated semigroup ring (see for instance...
LitStream

Chapter 4Irreducible numerical semigroups

Rosales, J.C.; García-Sánchez, P.A.

Pages: 33 –55

[Symmetric numerical semigroups are probably the numerical semigroups that have been most studied in the literature. The motivation and introduction of these semigroups is due mainly to Kunz, who in his manuscript [44] proves that a onedimensional analytically irreducible Noetherian local ring is...
LitStream

Chapter 5Proportionally modular numerical semigroups

Rosales, J.C.; García-Sánchez, P.A.

Pages: 57 –76

[In [94] the authors introduce the concept of a modular Diophantine inequality. The set of integer solutions of such an inequality is a numerical semigroup. In that manuscript it is shown that the genus of these semigroups can be obtained from the coefficients of the inequality. However, to date...
LitStream

Chapter 6The quotient of a numerical semigroup by a positive integer

Rosales, J.C.; García-Sánchez, P.A.

Pages: 77 –90

[A generalization of the linear Diophantine Frobenius problem can be stated as follows. Let n1,…,np and d be positive integers with {n1,…,np}=1. Find a formula for the largest multiple of d not belonging to 〈n1,…,np〉.]
LitStream

Chapter 7Families of numerical semigroups closed under finite intersections and adjoin of the Frobenius number

Rosales, J.C.; García-Sánchez, P.A.

Pages: 91 –104

[The concept of Frobenius variety was introduced in [67] in order to unify most of the results appearing in [88, 89, 24, 11].]
LitStream

Chapter 8Presentations of a numerical semigroup

Rosales, J.C.; García-Sánchez, P.A.

Pages: 105 –122

[Rédei in [53] shows that every congruence on ℕn is finitely generated. This result has since been known as Rédei’s theorem, and it is equivalent to the fact that every finitely generated (commutative) monoid is finitely presented. Rédei’s proof is long and elaborated. Many other authors have...
LitStream

Chapter 9The gluing of numerical semigroups

Rosales, J.C.; García-Sánchez, P.A.

Pages: 123 –136

[If K[V] is the ring of coordinates of a variety V, then V is said to be a complete intersection if its defining ideal is generated by the least possible number of polynomials. In the special case K[V] is taken to be a semigroup ring K[S], the generators of its defining ideal can be chosen to be...
LitStream

Chapter 10Numerical semigroups with embedding dimension three

Rosales, J.C.; García-Sánchez, P.A.

Pages: 137 –154

[Herzog in [14] proves that for embedding dimension three numerical semigroups, the concepts of symmetric and complete intersection coincide. Hence with the help of Proposition 1.17 and what we know about embedding dimension two numerical semigroups, a formula for the Frobenius number and the...

results per page

Browse All eBooks

Features

Search and discover articles on DeepDyve, PubMed, and Google Scholar
Read the full-text of open access and premium content
Organize articles with folders and bookmarks
Collaborate on and share articles and folders

Info

Pricing
Enterprise Plans
Browse Journals & Topics
About DeepDyve

Help

Help
Publishers
Contact Us

Sign up for your 14-Day Free Trial Now!

Read and print from thousands of top scholarly journals.

System error. Please try again!

Continue with Facebook

By signing up, you agree to DeepDyve’s Terms of Service and Privacy Policy.

Already have an account? Log in

Save Article to Bookmarks

Bookmark this article. You can see your Bookmarks on your DeepDyve Library.

To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.

Subscribe to Journal Email Alerts

To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Follow a Journal

To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Our policy towards the use of cookies

All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.

cookie policy