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Commutative zeropotent semigroups with few invariant congruences
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 865-885 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 08A30, 20M14, 20M30
Keywords: commutative; zeropotent; semigroup 
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     author = {Bashir, Robert El and Kepka, Tom\'a\v{s}},
     title = {Commutative zeropotent semigroups with few invariant congruences},
     journal = {Czechoslovak Mathematical Journal},
     pages = {865--885},
     year = {2008},
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     zbl = {1165.20322},
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}
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Bashir, Robert El; Kepka, Tomáš. Commutative zeropotent semigroups with few invariant congruences. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 865-885. http://geodesic.mathdoc.fr/item/CMJ_2008_58_4_a0/

[1] Bashir, R. El, Kepka, T.: Commutative semigroups with few invariant congruences. Semigroup Forum 64 (2002), 453-471. | DOI | MR | Zbl

[2] Flaška, V., Kepka, T.: Commutative zeropotent semigroups. Acta Univ. Carolinae 47/1 (2006), 3-14. | MR

[3] Ježek, J.: Simple semilattices with two commuting automorphisms. Algebra Univ. 15 (1982), 162-175. | DOI | MR

[4] Ježek, J., Kepka, T.: Medial groupoids. Rozpravy ČSAV, vol. 93 (1983), 93. | MR

[5] Maróti, M.: Semilattices with a group of automorphisms. Algebra Univ. 38 (1997), 238-265. | DOI | MR

[6] McCleary, S. H.: o-Primitive ordered permutation groups. Pacific J. Math. 40 (1972), 349-372. | DOI | MR

[7] McCleary, S. H.: o-Primitive ordered permutation groups (II). Pacific J. Math. 49 (1973), 431-445. | DOI | MR | Zbl