Decidability for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup

Nabilah Abughazalah

Decidability for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup

2015

Nabilah Abughazalah

Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) has soluble word problem and soluble membership problem.

Keywords:

Combinatorics
Algebra
Mathematics
Cancellative semigroup
Semigroup
Word problem (mathematics education)
Disjoint sets
Bicyclic semigroup
Decidability
Disjoint union
Discrete mathematics
Natural number

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