Chajda, Ivan Tolerance lattice of algebras with restricted similarity type. (English) Zbl 0854.08001 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 34, 59-62 (1995). The author shows that for any algebra \(A\) of a finite similarity type there exists an algebra \(B\) of type \((2,1,1)\) such that the lattices of tolerances on \(A\) and \(B\) are isomorphic. Reviewer: J.Duda (Brno) Cited in 1 Document MSC: 08A30 Subalgebras, congruence relations 08A62 Finitary algebras Keywords:tolerance lattice; finite similarity type × Cite Format Result Cite Review PDF Full Text: EuDML References: [1] Chajda I.: Algebraic Theory of Tolerance Relations. Monograph Series of Palacký University, Olomouc, 1991. · Zbl 0747.08001 [2] Chajda I., Czédli G.: A Note on Representation of Lattices by Tolerances. J. of Algebra 148 (1992), 274-275. · Zbl 0777.08002 · doi:10.1016/0021-8693(92)90248-K [3] Grätzer G., Schmidt E. T.: Characterization of congruence lattice of abstract algebras. Acta Sci. Math. (Szeged) 24 (1963), 34-59. · Zbl 0117.26101 [4] Iskander A. A.: The lattice of correspondences of universal algebras. Izv. Akad. Nauk SSSR, Ser. Mat. 29 (1965), 1357-1372 [5] Jónsson B.: Topics in Universal Algebra. Lectures Notes in Math. 250, Springer Verlag, Berlin-Heidelberg-New York, 1972. · Zbl 0225.08001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.