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- Numerical_semigroup abstract "In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number and the binary operation is the operation of addition of integers. Also, the integer 0 must be an element of the semigroup. For example, while the set {0, 2, 3, 4, 5, 6, ...} is a numerical semigroup, the set {0, 1, 3, 5, 6, ...} is not because 1 is in the set and 1 + 1 = 2 is not in the set. Numerical semigroups are commutative monoids and are also known as numerical monoids. The definition of numerical semigroup is intimately related to the problem of determining nonnegative integers that can be expressed in the form x1n1 + x2 n2 + ... + xr nr for a given set {n1, n2, ..., nr} of positive integers and for arbitrary nonnegative integers x1, x2, ..., xr. This problem had been considered by several mathematicians like Frobenius (1849 – 1917) and Sylvester (1814 – 1897) at the end of the 19th century. During the second half of the twentieth century, interest in the study of numerical semigroups resurfaced because of their applications in algebraic geometry.".
- Numerical_semigroup wikiPageID "31434142".
- Numerical_semigroup wikiPageRevisionID "583001261".
- Numerical_semigroup hasPhotoCollection Numerical_semigroup.
- Numerical_semigroup subject Category:Algebraic_structures.
- Numerical_semigroup subject Category:Number_theory.
- Numerical_semigroup subject Category:Semigroup_theory.
- Numerical_semigroup type AlgebraicStructures.
- Numerical_semigroup type Artifact100021939.
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- Numerical_semigroup type PhysicalEntity100001930.
- Numerical_semigroup type Structure104341686.
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- Numerical_semigroup comment "In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number and the binary operation is the operation of addition of integers. Also, the integer 0 must be an element of the semigroup. For example, while the set {0, 2, 3, 4, 5, 6, ...} is a numerical semigroup, the set {0, 1, 3, 5, 6, ...} is not because 1 is in the set and 1 + 1 = 2 is not in the set.".
- Numerical_semigroup label "Numerical semigroup".
- Numerical_semigroup sameAs m.0gkydnh.
- Numerical_semigroup sameAs Q7069664.
- Numerical_semigroup sameAs Q7069664.
- Numerical_semigroup sameAs Numerical_semigroup.
- Numerical_semigroup wasDerivedFrom Numerical_semigroup?oldid=583001261.
- Numerical_semigroup isPrimaryTopicOf Numerical_semigroup.