Commutative zeropotent semigroups with few invariant congruences

Robert El Bashir; Tomáš Kepka

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 4, page 865-885
  • ISSN: 0011-4642

Abstract

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Commutative semigroups satisfying the equation 2 x + y = 2 x and having only two G -invariant congruences for an automorphism group G are considered. Some classes of these semigroups are characterized and some other examples are constructed.

How to cite

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Bashir, Robert El, and Kepka, Tomáš. "Commutative zeropotent semigroups with few invariant congruences." Czechoslovak Mathematical Journal 58.4 (2008): 865-885. <http://eudml.org/doc/37873>.

@article{Bashir2008,
abstract = {Commutative semigroups satisfying the equation $2x+y=2x$ and having only two $G$-invariant congruences for an automorphism group $G$ are considered. Some classes of these semigroups are characterized and some other examples are constructed.},
author = {Bashir, Robert El, Kepka, Tomáš},
journal = {Czechoslovak Mathematical Journal},
keywords = {commutative; zeropotent; semigroup; commutative semigroups; zeropotent semigroups},
language = {eng},
number = {4},
pages = {865-885},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Commutative zeropotent semigroups with few invariant congruences},
url = {http://eudml.org/doc/37873},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Bashir, Robert El
AU - Kepka, Tomáš
TI - Commutative zeropotent semigroups with few invariant congruences
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 865
EP - 885
AB - Commutative semigroups satisfying the equation $2x+y=2x$ and having only two $G$-invariant congruences for an automorphism group $G$ are considered. Some classes of these semigroups are characterized and some other examples are constructed.
LA - eng
KW - commutative; zeropotent; semigroup; commutative semigroups; zeropotent semigroups
UR - http://eudml.org/doc/37873
ER -

References

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  1. Bashir, R. El, Kepka, T., 10.1007/s002330010114, Semigroup Forum 64 (2002), 453-471. (2002) Zbl0996.20042MR1896381DOI10.1007/s002330010114
  2. Flaška, V., Kepka, T., Commutative zeropotent semigroups, Acta Univ. Carolinae 47/1 (2006), 3-14. (2006) MR2509893
  3. Ježek, J., 10.1007/BF02483720, Algebra Univ. 15 (1982), 162-175. (1982) MR0686800DOI10.1007/BF02483720
  4. Ježek, J., Kepka, T., Medial groupoids, Rozpravy ČSAV, vol. 93 (1983), 93. (1983) MR0734873
  5. Maróti, M., 10.1007/s000120050054, Algebra Univ. 38 (1997), 238-265. (1997) MR1619766DOI10.1007/s000120050054
  6. McCleary, S. H., 10.2140/pjm.1972.40.349, Pacific J. Math. 40 (1972), 349-372. (1972) MR0313155DOI10.2140/pjm.1972.40.349
  7. McCleary, S. H., 10.2140/pjm.1973.49.431, Pacific J. Math. 49 (1973), 431-445. (1973) Zbl0253.06017MR0349526DOI10.2140/pjm.1973.49.431

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