Reduced commutative monoids with two Archimedean components

J. C. Rosales; P.~A. García-Sánchez

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 2, page 471-484
  • ISSN: 0392-4041

How to cite

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Rosales, J. C., and García-Sánchez, P.~A.. "Reduced commutative monoids with two Archimedean components." Bollettino dell'Unione Matematica Italiana 3-B.2 (2000): 471-484. <http://eudml.org/doc/195527>.

@article{Rosales2000,
author = {Rosales, J. C., García-Sánchez, P.~A.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {finite presentations; commutative monoids; quasi-Archimedean monoids; finitely generated monoids; separative monoids},
language = {eng},
month = {6},
number = {2},
pages = {471-484},
publisher = {Unione Matematica Italiana},
title = {Reduced commutative monoids with two Archimedean components},
url = {http://eudml.org/doc/195527},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Rosales, J. C.
AU - García-Sánchez, P.~A.
TI - Reduced commutative monoids with two Archimedean components
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/6//
PB - Unione Matematica Italiana
VL - 3-B
IS - 2
SP - 471
EP - 484
LA - eng
KW - finite presentations; commutative monoids; quasi-Archimedean monoids; finitely generated monoids; separative monoids
UR - http://eudml.org/doc/195527
ER -

References

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  1. CLIFFORD, A. H.- PRESTON, G. B., The Algebraic Theory of Semigroups, Vol. I, Amer. Math. Soc., Providence, 1961. Zbl0111.03403MR132791
  2. GILMER, R., Commutative semigroup rings, University of Chicago Press, 1984. Zbl0566.20050MR741678
  3. GRILLET, P. A., The free envelope of a finitely generated commutative semigroup, Trans. Amer. Math. Soc., 149 (1970), 665-682. Zbl0211.33602MR292975
  4. HEWITT, E.- ZUCKERMAN, H. S., The l 1 -algebra of a commutative semigroup, Trans. Amer. Math. Soc., 83 (1956), 70-97. Zbl0072.12701MR81908
  5. RÉDEI, L., The theory of finitely generated commutative semigroups, Pergamon, Oxford-Edinburgh-New York, 1965. Zbl0133.27904MR188322
  6. ROSALES, J. C., Function minimum associated to a congruence on integral n -tuple space, Semigroup Forum, 51 (1995), 87-95. Zbl0831.20081MR1337000
  7. ROSALES, J. C.- GARCÍA-SÁNCHEZ, P. A., On normal affine semigroups, Linear Algebra Appl., 286 (1999), 175-186. Zbl0943.20062MR1661222
  8. ROSALES, J. C.- GARCÍA-SÁNCHEZ, P. A., Finitely generated commutative monoids, Nova Science Publ., 1999. Zbl0966.20028MR1694173
  9. ROSALES, J. C.- URBANO-BLANCO, J. M., A deterministic algorithm to decide if a finitely presented abelian monoid is cancellative, Comm. Algebra, 24 (13) (1996), 4217-4224. Zbl0940.20058MR1414579
  10. TAMURA, T., Nonpotent Archimedean semigroups with cancellative law, I. J. Gakugei Tokushima Univ., 8 (1957), 5-11. Zbl0079.25103MR96741

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