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Article

Ježek, J. ; Kepka, T. ; Němec, P.
Commutative zeropotent semigroups with few prime ideals. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 4, pp. 501-505
MSC: 20M14 | MR 2863994 | Zbl 1249.20061
Keywords:
semigroup; zeropotent; prime ideal
Summary:
We construct an infinite commutative zeropotent semigroup with only two prime ideals.
References:
[1] El Bashir R., Kepka T.: Commutative zeropotent semigroups with few invariant congruences. Czechoslovak Math. J. 58 (2008), 865–885. DOI 10.1007/s10587-008-0056-1 | MR 2471153 | Zbl 1165.20322
[2] Flaška V., Jančařík A., Kala V., Kepka T.: Trees in commutative nil-semigroups of index two. Acta Univ. Carolinae 48 (2007), 81–101. MR 2517611 | Zbl 1169.20310
[3] Flaška V., Kepka T.: Commutative zeropotent semigroups. Acta Univ. Carolinae 47 (2006), 3–14. MR 2509893 | Zbl 1145.20321
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