Constructions of cell algebras

Alfonz Haviar; Gabriela Monoszová

Mathematica Bohemica (2005)

  • Volume: 130, Issue: 1, page 89-100
  • ISSN: 0862-7959

Abstract

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A construction of cell algebras is introduced and some of their properties are investigated. A particular case of this construction for lattices of nets is considered.

How to cite

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Haviar, Alfonz, and Monoszová, Gabriela. "Constructions of cell algebras." Mathematica Bohemica 130.1 (2005): 89-100. <http://eudml.org/doc/249582>.

@article{Haviar2005,
abstract = {A construction of cell algebras is introduced and some of their properties are investigated. A particular case of this construction for lattices of nets is considered.},
author = {Haviar, Alfonz, Monoszová, Gabriela},
journal = {Mathematica Bohemica},
keywords = {Plonka sum; cell algebra; prelattice; Plonka sum; prelattice},
language = {eng},
number = {1},
pages = {89-100},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Constructions of cell algebras},
url = {http://eudml.org/doc/249582},
volume = {130},
year = {2005},
}

TY - JOUR
AU - Haviar, Alfonz
AU - Monoszová, Gabriela
TI - Constructions of cell algebras
JO - Mathematica Bohemica
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 130
IS - 1
SP - 89
EP - 100
AB - A construction of cell algebras is introduced and some of their properties are investigated. A particular case of this construction for lattices of nets is considered.
LA - eng
KW - Plonka sum; cell algebra; prelattice; Plonka sum; prelattice
UR - http://eudml.org/doc/249582
ER -

References

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  5. General Lattice Theory, Academic-Verlag, Berlin, 1978. (1978) MR0504338
  6. N-Schrägverbände und Quasiordungen, Matematický časopis 23 (1973), 240–248. (1973) MR0327592
  7. Constructions of non-commutative algebras, Lectures in Universal Algebra (eds. L. Szabó, A. Szendrei), North-Holland, Amsterdam (1986), 177–187. (1986) Zbl0597.08011MR0860264
  8. Recent developments in the theory of skew lattices, Semigroup Forum 53 (1996), 7–24. (1996) Zbl0844.06003MR1363525
  9. On a method of construction of abstract algebras, Fund. Math. 61 (1967), 183–189. (1967) Zbl0168.26701MR0225701
  10. 10.1007/BF01225467, Algebra Universalis 33 (1995), 441–457. (1995) MR1331910DOI10.1007/BF01225467
  11. On skew lattices I, Comment. Math. Univ. Carolin. 14 (1973), 73–85. (1973) MR0319829
  12. On skew lattices II, Comment. Math. Univ. Carolin. 14 (1973), 493–506. (1973) MR0344169
  13. 10.3792/pja/1195524790, Proc. Japan. Acad. 34 (1958), 110–112. (1958) MR0098141DOI10.3792/pja/1195524790

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