On permutability in semigroup varieties

Bedřich Pondělíček

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 4, page 396-400
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Pondělíček, Bedřich. "On permutability in semigroup varieties." Mathematica Bohemica 116.4 (1991): 396-400. <http://eudml.org/doc/29181>.

@article{Pondělíček1991,
abstract = {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.},
author = {Pondělíček, Bedřich},
journal = {Mathematica Bohemica},
keywords = {congruence permutable semigroups; varieties of semigroups; varieties of regular $*$-semigroups; generators; congruence permutable semigroups; varieties of semigroups; varieties of regular *-semigroups; generators},
language = {eng},
number = {4},
pages = {396-400},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On permutability in semigroup varieties},
url = {http://eudml.org/doc/29181},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Pondělíček, Bedřich
TI - On permutability in semigroup varieties
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 4
SP - 396
EP - 400
AB - 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.
LA - eng
KW - congruence permutable semigroups; varieties of semigroups; varieties of regular $*$-semigroups; generators; congruence permutable semigroups; varieties of semigroups; varieties of regular *-semigroups; generators
UR - http://eudml.org/doc/29181
ER -

References

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  1. Chajda I., A Note on permutability in vaгieties, Časopis pěst. matem. 115 (1990), 85-91. (1990) MR1044018
  2. Pondělíček B., Tolerance modular varieties of semigгoups, Czech. Math. J. 40 (115) (1990), 441-452. (1990) MR1065023
  3. Hamilton H., Permutability of congruences on commutative semigгoups, Semigгoup Foгum 10 (1975), 55-66. (1975) MR0387455
  4. Nordahl T. E., Scheiblich H. E., 10.1007/BF02194636, Semigгoup Forum 16 (1978), 369-377. (1978) MR0507171DOI10.1007/BF02194636
  5. Pondělíček B., On vaгieties of regular *-semigгoups, Czech. Math. J. 41 (116) (1991), 110-119. (1991) MR1087630
  6. Chajda I., Toleгance trivial algebгas and varieties, Acta Sci. Math. (Szeged) 46 (1983), 35-40. (1983) MR0739020
  7. Jónsson B., 10.7146/math.scand.a-10377, Math. Scand. 1 (1953), 193-206. (1953) MR0058567DOI10.7146/math.scand.a-10377
  8. Jónsson B., Modular lattices and Desargues' theorem, Math. Scand 2 (1954), 295-314. (1954) Zbl0056.38403MR0067859

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