Presentations for subsemigroups of finitely generated commutative semigroups |
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Authors: | J C Rosales P A García-Sánchez |
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Institution: | (1) Departamento de álgebra, Universidad de Granada, 18071 Granada, Spain |
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Abstract: | We introduce the concept of presentation for subsemigroups of finitely generated commutative semigroups, which extends the
concept of presentation for finitely generated commutative semigroups. We show that for every subsemigroup of a finitely generated
commutative semigroup there are special presentations which solve the word problem in the given subsemigroup. Some properties
like being cancellative, reduced and/or torsion free are studied under this new point of view.
This paper was supported by the project DGES PB96-1424. |
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