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Lampe, W. A.; Taylor, W.

Simple algebras in varieties. (English) Zbl 0486.08008

Algebra Univers. 14, 36-43 (1982).
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Cited in 4 Documents

MSC:

08A60 Unary algebras
08B10 Congruence modularity, congruence distributivity

Keywords:

congruence-permutable varieties; finite unary algebra; simple algebras
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References:

[1] P. D. Bacsich,Cofinal simplicity and algebraic closedness, Algebra Universalis2 (1972), 354–360. · Zbl 0259.08005 · doi:10.1007/BF02945046
[2] S. Comer andJ. Johnson,Report on unary algebras, ms., Berkeley, 1967.
[3] G. Grätzer andJ. Sichler,Agassiz sum of algebras, Colloq. Math.30 (1974), 57–59. · Zbl 0296.08011
[4] D. Higgs,Remarks on residually small varieties, Algebra Universalis1 (1971), 383–385. · Zbl 0243.08004 · doi:10.1007/BF02944997
[5] R. Magari,Una dimostrazione del fatto che ogni varietà ammette algebre semplici, Ann. Univ. Ferrara (7)14 (1969), 1–4. · Zbl 0247.08016
[6] R. McKenzie andS. Shelah,The cardinals of simple models for universal theories, 53–74 in: Proc. Tarski Symposium (1971)-vol. 25 of Symposia in Pure Math., A.M.S., Providence, 1974.
[7] B. Mortimer,Permutation groups containing affine groups of the same degree, J. London Math. Soc. (2)15 (1977), 445–455. · Zbl 0364.20005 · doi:10.1112/jlms/s2-15.3.445
[8] H. Neumann,Varieties of Groups, Springer-Verlag, Berlin, 1967. · Zbl 0149.26704
[9] P. E. Schupp,Varieties and algebraically closed algebras, Algebra Universalis (to appear).
[10] C. Shallon,Non-finitely based binary algebras derived from lattices, Ph.D. Thesis, UCLA, 1979.
[11] W. Taylor,Residually small varieties, Algebra Universalis2 (1972), 33–53. · Zbl 0263.08005 · doi:10.1007/BF02945005
[12] W. Taylor,Subdirectly irreducible algebras in regular, permutable varieties, Proc. A.M.S.75 (1979), 196–200. · Zbl 0419.08008
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