Quasiequational theories of flat algebras

Jaroslav Ježek; M. Maróti; R. McKenzie

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 3, page 665-675
  • ISSN: 0011-4642

Abstract

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We prove that finite flat digraph algebras and, more generally, finite compatible flat algebras satisfying a certain condition are finitely q -based (possess a finite basis for their quasiequations). We also exhibit an example of a twelve-element compatible flat algebra that is not finitely q -based.

How to cite

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Ježek, Jaroslav, Maróti, M., and McKenzie, R.. "Quasiequational theories of flat algebras." Czechoslovak Mathematical Journal 55.3 (2005): 665-675. <http://eudml.org/doc/30976>.

@article{Ježek2005,
abstract = {We prove that finite flat digraph algebras and, more generally, finite compatible flat algebras satisfying a certain condition are finitely $q$-based (possess a finite basis for their quasiequations). We also exhibit an example of a twelve-element compatible flat algebra that is not finitely $q$-based.},
author = {Ježek, Jaroslav, Maróti, M., McKenzie, R.},
journal = {Czechoslovak Mathematical Journal},
keywords = {quasiequation; flat algebra; quasiequation; flat algebra},
language = {eng},
number = {3},
pages = {665-675},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Quasiequational theories of flat algebras},
url = {http://eudml.org/doc/30976},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Ježek, Jaroslav
AU - Maróti, M.
AU - McKenzie, R.
TI - Quasiequational theories of flat algebras
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 3
SP - 665
EP - 675
AB - We prove that finite flat digraph algebras and, more generally, finite compatible flat algebras satisfying a certain condition are finitely $q$-based (possess a finite basis for their quasiequations). We also exhibit an example of a twelve-element compatible flat algebra that is not finitely $q$-based.
LA - eng
KW - quasiequation; flat algebra; quasiequation; flat algebra
UR - http://eudml.org/doc/30976
ER -

References

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  2. 10.1142/S0218196796000027, Internat. J. Alg. Comput. 6 (1996), 1–28. (1996) Zbl0844.08009MR1371732DOI10.1142/S0218196796000027
  3. 10.1142/S0218196796000039, Internat. J. Alg. Comput. 6 (1996), 29–48. (1996) Zbl0844.08010MR1371733DOI10.1142/S0218196796000039
  4. 10.1142/S0218196796000040, Internat. J. Alg. Comput. 6 (1996), 49–104. (1996) Zbl0844.08011MR1371734DOI10.1142/S0218196796000040
  5. Algebras, Lattices, Varieties, Vol.  I, Wadsworth & Brooks/Cole, Monterey, 1987. (1987) MR0883644
  6. 10.1090/S0002-9947-1988-0946222-1, Transactions of the  AMS 310 (1988), 499–533. (1988) Zbl0706.08009MR0946222DOI10.1090/S0002-9947-1988-0946222-1

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