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The equivalence, for varieties of semigroups, of two properties concerning congruence relations. (English) Zbl 0115.25101

Keywords:
group theory
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[1] Garrett Birkhoff, Lattice Theory, American Mathematical Society Colloquium Publications, vol. 25, revised edition, American Mathematical Society, New York, N. Y., 1948. · Zbl 0033.10103
[2] A. H. Clifford, Semigroups admitting relative inverses, Ann. of Math. (2) 42 (1941), 1037 – 1049. · Zbl 0063.00920
[3] A. I. Mal\(^{\prime}\)cev, On the general theory of algebraic systems, Mat. Sb. N.S. 35(77) (1954), 3 – 20 (Russian).
[4] D. Rees, On semi-groups, Proc. Cambridge Philos. Soc. 36 (1940), 387 – 400. · JFM 66.1207.01
[5] Marianne Teissier, Sur les équivalences regulières dans les demi-groupes, C. R. Acad. Sci. Paris 232 (1951), 1987 – 1989 (French). · Zbl 0042.25401
[6] H. A. Thurston, Derived operations and congruences, Proc. London Math. Soc. (3) 8 (1958), 127 – 134. · Zbl 0078.01901
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