Presentations for subsemigroups of finitely generated commutative semigroups

Authors
Rosales, JC Garcia-Sanchez, PA
Citation
Jc. Rosales et Pa. Garcia-sanchez, Presentations for subsemigroups of finitely generated commutative semigroups, ISR J MATH, 113, 1999, pp. 269-283
Citations number
12
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
113
Year of publication
1999
Pages
269 - 283
Database
ISI
SICI code
0021-2172(1999)113:<269:PFSOFG>2.0.ZU;2-M
Abstract
We introduce the concept of presentation for subsemigroups of finitely gene rated commutative semigroups, which extends the concept of presentation for finitely generated commutative semigroups. We show that for every subsemig roup of a finitely generated commutative semigroup there are special presen tations which solve the word problem in the given subsemigroup. Some proper ties like being cancellative, reduced and/or torsion free are studied under this new point of view.