# A characterization of modular lattices

Colloquium Mathematicae (1993)

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

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top## How to cite

topDudek, 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

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

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