A characterization of modular lattices

J. Dudek

Colloquium Mathematicae (1993)

  • Volume: 64, Issue: 2, page 193-201
  • ISSN: 0010-1354

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Dudek, J.. "A characterization of modular lattices." Colloquium Mathematicae 64.2 (1993): 193-201. <http://eudml.org/doc/210184>.

@article{Dudek1993,
author = {Dudek, J.},
journal = {Colloquium Mathematicae},
keywords = {idempotent algebra; essentially polynomials; binary algebra; modular lattice},
language = {eng},
number = {2},
pages = {193-201},
title = {A characterization of modular lattices},
url = {http://eudml.org/doc/210184},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Dudek, J.
TI - A characterization of modular lattices
JO - Colloquium Mathematicae
PY - 1993
VL - 64
IS - 2
SP - 193
EP - 201
LA - eng
KW - idempotent algebra; essentially polynomials; binary algebra; modular lattice
UR - http://eudml.org/doc/210184
ER -

References

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  1. [1] J. Dudek, On binary polynomials in idempotent commutative groupoids, Fund. Math. 120 (1984), 187-191. Zbl0555.20035
  2. [2] J. Dudek, Varieties of idempotent commutative groupoids, ibid., 193-204. Zbl0546.20049
  3. [3] J. Dudek, A polynomial characterization of some idempotent algebras, Acta Sci. Math. (Szeged) 50 (1985), 39-49. Zbl0616.08011
  4. [4] J. Dudek, On the minimal extension of sequences, Algebra Universalis 23 (1986), 308-312. Zbl0627.08001
  5. [5] J. Dudek, A polynomial characterization of nondistributive modular lattices, Colloq. Math. 55 (1988), 195-212. Zbl0665.08005
  6. [6] J. Dudek, Characterizations of distributive lattices, to appear. Zbl1193.06008
  7. [7] J. Dudek and A. Kisielewicz, On finite models of regular identities, Notre Dame J. Formal Logic 30 (2) (1989), 624-628. Zbl0694.03025
  8. [8] G. Grätzer, Compositions of functions, in: Proc. Conference on Universal Algebra (Kingston, 1969), Queen's Univ., Kingston, Ont., 1970, 1-106. 
  9. [9] G. Grätzer, Universal Algebra, 2nd ed., Springer, New York 1979. 
  10. [10] G. Grätzer and J. Płonka, On the number of polynomials of an idempotent algebra I, Pacific J. Math. 32 (1970), 697-709. Zbl0215.06301
  11. [11] J. Luo, Characterizations of distributive bisemilattices and modular lattices, Acta Sci. Natur. Univ. Intramongolicae 18 (4) (1987), 623-633. Zbl1332.06006
  12. [12] J. Płonka, On equational classes of abstract algebras defined by regular equations, Fund. Math. 64 (1969), 241-247. Zbl0187.28702
  13. [13] W. Taylor, Equational logic, Houston J. Math. 5 (1979), Survey, 1-83. Zbl0421.08004

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