# Commutative zeropotent semigroups with few prime ideals

Jaroslav Ježek; Tomáš Kepka; P. Němec

Commentationes Mathematicae Universitatis Carolinae (2011)

- Volume: 52, Issue: 4, page 501-505
- ISSN: 0010-2628

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topJežek, Jaroslav, Kepka, Tomáš, and Němec, P.. "Commutative zeropotent semigroups with few prime ideals." Commentationes Mathematicae Universitatis Carolinae 52.4 (2011): 501-505. <http://eudml.org/doc/246701>.

@article{Ježek2011,

abstract = {We construct an infinite commutative zeropotent semigroup with only two prime ideals.},

author = {Ježek, Jaroslav, Kepka, Tomáš, Němec, P.},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {semigroup; zeropotent; prime ideal; infinite commutative semigroups; zeropotent semigroups; prime ideals; endomorphism monoids},

language = {eng},

number = {4},

pages = {501-505},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Commutative zeropotent semigroups with few prime ideals},

url = {http://eudml.org/doc/246701},

volume = {52},

year = {2011},

}

TY - JOUR

AU - Ježek, Jaroslav

AU - Kepka, Tomáš

AU - Němec, P.

TI - Commutative zeropotent semigroups with few prime ideals

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2011

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 52

IS - 4

SP - 501

EP - 505

AB - We construct an infinite commutative zeropotent semigroup with only two prime ideals.

LA - eng

KW - semigroup; zeropotent; prime ideal; infinite commutative semigroups; zeropotent semigroups; prime ideals; endomorphism monoids

UR - http://eudml.org/doc/246701

ER -

## References

top- El Bashir R., Kepka T., 10.1007/s10587-008-0056-1, Czechoslovak Math. J. 58 (2008), 865–885. Zbl1165.20322MR2471153DOI10.1007/s10587-008-0056-1
- Flaška V., Jančařík A., Kala V., Kepka T., Trees in commutative nil-semigroups of index two, Acta Univ. Carolinae 48 (2007), 81–101. Zbl1169.20310MR2517611
- Flaška V., Kepka T., Commutative zeropotent semigroups, Acta Univ. Carolinae 47 (2006), 3–14. Zbl1145.20321MR2509893

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