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Numerical Semigroups (Developments in Mathematics Book 20)

J.C. Rosales

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Description: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 ?nite. If n, ..., n are positive integers with gcd{n, ..., n } = 1, then the set hn, ..., 1 e 1 e 1 n i = {? n +... + ? n - ?, ..., ? ? N} is a numerical semigroup. Every numer e 1 1 e e 1 e ical semigroup is of this form. The simplicity of this concept makes it possible to state problems that are easy to understand but whose resolution is far from being trivial. This fact attracted several mathematicians like Frobenius and Sylvester at the end of the 19th century. This is how for instance the Frobenius problem arose, concerned with ?nding a formula depending on n, ..., n for the largest integer not belonging to hn, ..., n i (see [52] 1 e 1 e for a nice state of the art on this problem)We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Numerical Semigroups (Developments in Mathematics Book 20). To get started finding Numerical Semigroups (Developments in Mathematics Book 20), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1441901604

Description: 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 ?nite. If n, ..., n are positive integers with gcd{n, ..., n } = 1, then the set hn, ..., 1 e 1 e 1 n i = {? n +... + ? n - ?, ..., ? ? N} is a numerical semigroup. Every numer e 1 1 e e 1 e ical semigroup is of this form. The simplicity of this concept makes it possible to state problems that are easy to understand but whose resolution is far from being trivial. This fact attracted several mathematicians like Frobenius and Sylvester at the end of the 19th century. This is how for instance the Frobenius problem arose, concerned with ?nding a formula depending on n, ..., n for the largest integer not belonging to hn, ..., n i (see [52] 1 e 1 e for a nice state of the art on this problem)We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Numerical Semigroups (Developments in Mathematics Book 20). To get started finding Numerical Semigroups (Developments in Mathematics Book 20), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Numerical Semigroups (Developments in Mathematics Book 20)

Numerical Semigroups (Developments in Mathematics Book 20)

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