On permutability in semigroup varieties
Mathematica Bohemica, Tome 116 (1991) no. 4, pp. 396-400

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The paper contains characterizations of semigroup varieties whose semigroups with one generator (two generators) are permutable. Here all varieties of regular $*$-semigroups are described in which each semigroup with two generators is permutable.
The paper contains characterizations of semigroup varieties whose semigroups with one generator (two generators) are permutable. Here all varieties of regular $*$-semigroups are described in which each semigroup with two generators is permutable.
DOI : 10.21136/MB.1991.126027
Classification : 08A30, 08B10, 20M07, 20M17
Keywords: congruence permutable semigroups; varieties of semigroups; varieties of regular $*$-semigroups; generators
Pondělíček, Bedřich. On permutability in semigroup varieties. Mathematica Bohemica, Tome 116 (1991) no. 4, pp. 396-400. doi: 10.21136/MB.1991.126027
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[1] Chajda I.: A Note on permutability in vaгieties. Časopis pěst. matem. 115 (1990), 85-91. | MR

[2] Pondělíček B.: Tolerance modular varieties of semigгoups. Czech. Math. J. 40 (115) (1990), 441-452. | MR

[3] Hamilton H.: Permutability of congruences on commutative semigгoups. Semigгoup Foгum 10 (1975), 55-66. | MR

[4] Nordahl T. E., Scheiblich H. E.: Regular *-semigroups. Semigгoup Forum 16 (1978), 369-377. | DOI | MR

[5] Pondělíček B.: On vaгieties of regular *-semigгoups. Czech. Math. J. 41 (116) (1991), 110-119. | MR

[б] Chajda I.: Toleгance trivial algebгas and varieties. Acta Sci. Math. (Szeged) 46 (1983), 35-40. | MR

[7] Jónsson B.: On the representation of lattices. Math. Scand. 1 (1953), 193-206. | DOI | MR

[8] Jónsson B.: Modular lattices and Desargues' theorem. Math. Scand 2 (1954), 295-314. | MR | Zbl

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