A multiplication of e-varieties of regular E -solid semigroups by inverse semigroup varieties

Martin Kuřil

Archivum Mathematicum (1997)

  • Volume: 033, Issue: 4, page 279-299
  • ISSN: 0044-8753

Abstract

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A multiplication of e-varieties of regular E -solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved.

How to cite

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Kuřil, Martin. "A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties." Archivum Mathematicum 033.4 (1997): 279-299. <http://eudml.org/doc/248042>.

@article{Kuřil1997,
abstract = {A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved.},
author = {Kuřil, Martin},
journal = {Archivum Mathematicum},
keywords = {regular semigroup; inverse semigroup; e-variety; biinvariant congruence; bifree object; regular semigroups; inverse semigroups; lattices of e-varieties; biinvariant congruences; bifree objects; semidirect products},
language = {eng},
number = {4},
pages = {279-299},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties},
url = {http://eudml.org/doc/248042},
volume = {033},
year = {1997},
}

TY - JOUR
AU - Kuřil, Martin
TI - A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 4
SP - 279
EP - 299
AB - A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved.
LA - eng
KW - regular semigroup; inverse semigroup; e-variety; biinvariant congruence; bifree object; regular semigroups; inverse semigroups; lattices of e-varieties; biinvariant congruences; bifree objects; semidirect products
UR - http://eudml.org/doc/248042
ER -

References

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  1. Billhardt B., On a wreath product embedding and idempotent pure congruences on inverse semigroups, Semigroup Forum 45 (1992), 45–54. (1992) Zbl0769.20027MR1161418
  2. Hall T. E., Congruences and Green’s relations on regular semigroups, Glasgow Math. J. 13 (1972), 167–175. (1972) MR0318356
  3. Hall T. E., Identities for existence varieties of regular semigroups, Bull. Austral. Math. Soc. 40 (1989), 59–77. (1989) Zbl0666.20028MR1020841
  4. Howie J. M., An Introduction to Semigroup Theory, Academic Press, London, 1976. (1976) Zbl0355.20056MR0466355
  5. Kaďourek J., Szendrei M. B., A new approach in the theory of orthodox semigroups, Semigroup Forum 40 (1990), 257–296. (1990) Zbl0705.20052MR1038007
  6. Kaďourek J., Szendrei M. B., On existence varieties of E -solid semigroups, preprint. Zbl0931.20049MR1847661
  7. Kuřil M., A multiplication of e-varieties of orthodox semigroups, Arch. Math. (Brno) 31 (1995), 43–54. (1995) Zbl0836.20084MR1342374

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