On a problem of G. Grätzer
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- by Tibor Katriňák PDF
- Proc. Amer. Math. Soc. 57 (1976), 19-24 Request permission
Abstract:
A characterization of the congruence lattice of a modular $p$-algebra in terms of congruence pairs is given.References
- George Grätzer, Lattice theory. First concepts and distributive lattices, W. H. Freeman and Co., San Francisco, Calif., 1971. MR 0321817
- György Grätzer and E. T. Schmidt, Ideals and congruence relations in lattices, Acta Math. Acad. Sci. Hungar. 9 (1958), 137–175. MR 100560, DOI 10.1007/BF02023870
- Tibor Katriňák, Über eine Konstruktion der distributiven pseudokomplementären Verbände, Math. Nachr. 53 (1972), 85–99 (German). MR 316334, DOI 10.1002/mana.19720530109
- T. Katriňák and P. Mederly, Construction of modular $p$-algebras, Algebra Universalis 4 (1974), 301–315. MR 354470, DOI 10.1007/BF02485742
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 19-24
- MSC: Primary 06A70
- DOI: https://doi.org/10.1090/S0002-9939-1976-0401593-7
- MathSciNet review: 0401593