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Article

Ježek, Jaroslav ; Kepka, Tomáš ; Němec, Petr
Commutative semigroups that are nil of index 2 and have no irreducible elements. (English). Mathematica Bohemica, vol. 133 (2008), issue 1, pp. 1-7
MSC: 20M14 | MR 2400146 | Zbl 1170.20312 | DOI: 10.21136/MB.2008.133941
Keywords:
nil-semigroup; commutative nil-semigroup
Summary:
Every commutative nil-semigroup of index 2 can be imbedded into such a semigroup without irreducible elements.
References:
[1] R. El Bashir, T. Kepka, M. Kechlibar: Commutative semigroups with few fully invariant congruences I. Acta Univ. Carolinae Math. Phys. 46/1 (2005), 49–64. MR 2195569
[2] V. Flaška, T. Kepka: Commutative zeropotent semigroups. Acta Univ. Carolinae Math. Phys. 47/1 (2006), 3–14. MR 2509893
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