$M_ n$ as a $0,1$-sublattice of $\textrm {Con} A$ does not force the term condition
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- by Ross Willard PDF
- Proc. Amer. Math. Soc. 104 (1988), 349-356 Request permission
Abstract:
For every $n \geq 3$ there exists a finite nonabelian algebra whose congruence lattice has ${M_n}$ as a $0, 1$-sublattice. This answers a question of R. McKenzie and D. Hobby.References
- David Hobby and Ralph McKenzie, The structure of finite algebras, Contemporary Mathematics, vol. 76, American Mathematical Society, Providence, RI, 1988. MR 958685, DOI 10.1090/conm/076
- Ralph N. McKenzie, George F. McNulty, and Walter F. Taylor, Algebras, lattices, varieties. Vol. I, The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole Advanced Books & Software, Monterey, CA, 1987. MR 883644
- Pavel Pudlák and Jiří T ma, Every finite lattice can be embedded in a finite partition lattice, Algebra Universalis 10 (1980), no. 1, 74–95. MR 552159, DOI 10.1007/BF02482893
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 349-356
- MSC: Primary 08A30; Secondary 06B10, 08A40
- DOI: https://doi.org/10.1090/S0002-9939-1988-0962797-6
- MathSciNet review: 962797