References
W.Feit.An Interval in the Subgroup Lattice of a Finite Group which is Isomorphic to M7. Algebra Universalis (to appear).
G. Grätzer. Universal Algebra. 2nd edition, Springer, New York-Heidelberg-Berlin, 1979.
B. Huppert. Endliche Gruppen I. Springer, Berlin-Heidelberg-New York, 1967.
Th. Ihringer.On Groupoids Having a Linear Congruence Class Geometry. Math. Z.180 (1982), 395–411.
Th. Ihringer.On Certain Linear Congruence Class Geometries. Annals of Discrete Mathematics18 (1983), 481–492.
Th. Ihringer.On Finite Algebras Having a Linear Congruence Class Geometry. Algebra Universalis (to appear).
R. McKenzie.Finite Forbidden Lattices. Universal Algebra and Lattice Theory. Proceedings, Puebla 1982. Edited by R. S. Froese and O. C. Garcia. Lecture Notes in Mathematics1004, Springer, Berlin-Heidelberg-New York-Tokyo, 1983.
P. P.Pálfy.Unary Polynomials in Algebras, I. Algebra Universalis (to appear).
P. P. Pálfy, P. Pudlák.Congruence Lattices of Finite Algebras and Intervals in Subgroup Lattices of Finite Groups. Algebra Universalis11 (1980), 22–27.
A. Pasini.On the Finite Transitive Incidence Algebras. Bolletino U.M.I. (5)17-B (1980), 373–389.
P. Pudlák, J. Tuma.Every Finite Lattice Can Be Embedded in a Finite Partition Lattice. Algebra Universalis10 (1980), 74–95.
N. Sauer, M. G. Stone, R. H. Weedmark.Every Finite Algebra with Congruence Lattice M 7 Has Principal Congruences. Universal Algebra and Lattice Theory. Proceedings Puebla 1982. Edited by R. S. Froese and O. C. Garcia. Lecture Notes in Mathematics1004, Springer, Berlin-Heidelberg-New York-Tokyo, 1983.
M. G. Stone, R. H. Weedmark,On Representing M n 's by Congruence Lattices of Finite Algebras. Discrete Mathematics44 (1983), 299–308.
R. Wille.Kongruenzklassengeometrien. Lecture Notes in Mathematics113, Springer, Berlin-Heidelberg-New York, 1970.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ihringer, T. A property of finite algebras havingM n 's as congruence lattices. Algebra Universalis 19, 269–271 (1984). https://doi.org/10.1007/BF01190437
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01190437