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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 wikiPageLength "12525".
- Numerical_semigroup wikiPageOutDegree "22".
- Numerical_semigroup wikiPageRevisionID "695973040".
- Numerical_semigroup wikiPageWikiLink 0_(number).
- Numerical_semigroup wikiPageWikiLink Addition.
- Numerical_semigroup wikiPageWikiLink Algebraic_geometry.
- Numerical_semigroup wikiPageWikiLink Binary_operation.
- Numerical_semigroup wikiPageWikiLink Category:Algebraic_structures.
- Numerical_semigroup wikiPageWikiLink Category:Number_theory.
- Numerical_semigroup wikiPageWikiLink Category:Semigroup_theory.
- Numerical_semigroup wikiPageWikiLink Coin_problem.
- Numerical_semigroup wikiPageWikiLink Commutative_property.
- Numerical_semigroup wikiPageWikiLink Ferdinand_Georg_Frobenius.
- Numerical_semigroup wikiPageWikiLink Finite_set.
- Numerical_semigroup wikiPageWikiLink Greatest_common_divisor.
- Numerical_semigroup wikiPageWikiLink Integer.
- Numerical_semigroup wikiPageWikiLink James_Joseph_Sylvester.
- Numerical_semigroup wikiPageWikiLink Monoid.
- Numerical_semigroup wikiPageWikiLink Semigroup.
- Numerical_semigroup wikiPageWikiLink Set_(mathematics).
- Numerical_semigroup wikiPageWikiLink Special_classes_of_semigroups.
- Numerical_semigroup wikiPageWikiLinkText "Numerical semigroup".
- Numerical_semigroup wikiPageWikiLinkText "numerical semigroup".
- Numerical_semigroup wikiPageUsesTemplate Template:Cn.
- Numerical_semigroup wikiPageUsesTemplate Template:Reflist.
- Numerical_semigroup subject Category:Algebraic_structures.
- Numerical_semigroup subject Category:Number_theory.
- Numerical_semigroup subject Category:Semigroup_theory.
- Numerical_semigroup hypernym Kind.
- Numerical_semigroup type Field.
- 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 Q7069664.
- Numerical_semigroup sameAs m.0gkydnh.
- Numerical_semigroup sameAs Q7069664.
- Numerical_semigroup wasDerivedFrom Numerical_semigroup?oldid=695973040.
- Numerical_semigroup isPrimaryTopicOf Numerical_semigroup.