
numericalsgps
 Referenced in 132 articles
[sw00640]
 computer algebra system GAP and to numerical semigroups, this note provides a brief description ... package designed to work with numerical semigroups...

NumericalSemigroupsWithGenus
 Referenced in 59 articles
[sw06891]
 Constructing the set of all numerical semigroups containing a given numerical semigroup In order ... construct the set of numerical semigroups containing a fixed numerical semigroup S, one first constructs ... sets S∪{g} that are numerical semigroups with g a positive integer. This is achieved ... adding each of them to the numerical semigroup. Then we repeat the process for each...

nsgtree
 Referenced in 21 articles
[sw15641]
 Exploring the tree of numerical semigroups In this paper we describe an algorithm visiting ... numerical semigroups up to a given genus using a wellsuited representation. The interest ... optimizations: we obtain the number of numerical semigroups of genus $gleq 67$ and we confirm...

NumericMonoid
 Referenced in 21 articles
[sw34492]
 Hivert. 2016. Exploring the tree of numerical semigroups. Math. Comput...

RGDalgorithm
 Referenced in 2 articles
[sw34886]
 algorithm to compute the number of numerical semigroups of each given genus ... rightgenerators descendant of a numerical semigroup. For a numerical semigroup, we encode ... corresponding sets for its children in the semigroup tree. This allows us to present ... second nonzero element of a numerical semigroup and the particular pseudoordinary case in which...

NumericalSemigroupsWithFrobeniusNumber
 Referenced in 1 article
[sw06892]
 Constructing numerical semigroups from others 5.1 Adding and removing elements of a numerical semigroup ... show how to construct new numerical semigroups from a given numerical semigroup. Two dual operations ... removes a minimal generator from a numerical semigroup. The second adds a special...

ACL2
 Referenced in 291 articles
[sw00060]
 ACL2 is both a programming language in which...

cdd
 Referenced in 119 articles
[sw00114]
 The program cdd+ (cdd, respectively) is a C...

CoCoA
 Referenced in 659 articles
[sw00143]
 CoCoA is a system for Computations in Commutative...

CoCoALib
 Referenced in 61 articles
[sw00144]
 CoCoALib: A C++ library for computations in commutative...

FGb
 Referenced in 247 articles
[sw00286]
 FGb/Gb libraryGb is a program (191 420 lines...

GAP
 Referenced in 3221 articles
[sw00320]
 GAP is a system for computational discrete algebra...

Macaulay2
 Referenced in 1958 articles
[sw00537]
 Macaulay2 is a software system devoted to supporting...

Magma
 Referenced in 3363 articles
[sw00540]
 Computer algebra system (CAS). Magma is a large...

Maple
 Referenced in 5403 articles
[sw00545]
 The result of over 30 years of cutting...