Principal ideals of finitely generated commutative monoids
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 75-85
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations.
Classification :
20M05, 20M12, 20M14, 20M30
Keywords: monoid; ideal; cancellative; torsion free
Keywords: monoid; ideal; cancellative; torsion free
@article{CMJ_2002__52_1_a7,
author = {Rosales, J. C. and Garc{\'\i}a-Garc{\'\i}a, J. I.},
title = {Principal ideals of finitely generated commutative monoids},
journal = {Czechoslovak Mathematical Journal},
pages = {75--85},
publisher = {mathdoc},
volume = {52},
number = {1},
year = {2002},
mrnumber = {1885458},
zbl = {1003.20052},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2002__52_1_a7/}
}
TY - JOUR AU - Rosales, J. C. AU - García-García, J. I. TI - Principal ideals of finitely generated commutative monoids JO - Czechoslovak Mathematical Journal PY - 2002 SP - 75 EP - 85 VL - 52 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2002__52_1_a7/ LA - en ID - CMJ_2002__52_1_a7 ER -
Rosales, J. C.; García-García, J. I. Principal ideals of finitely generated commutative monoids. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 75-85. http://geodesic.mathdoc.fr/item/CMJ_2002__52_1_a7/