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Ordered regular proper semigroups. (English) Zbl 0155.04302


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[1] Clifford, A. H., Totally ordered commutative semigroups, Bull. Am. Math. Soc., 64, 305-316 (1958) · Zbl 0085.01402
[2] Clifford, A. H.; Preston, G. B., The Algebraic Theory of Semigroups, I, Am. Math. Soc., Math. Surveys, No. 7 (1961) · Zbl 0111.03403
[3] Dubreil, P., Contribution à la théorie des demi-groupes, Mém. Acad. Sci. Inst. France, 63, 1-52 (1941) · JFM 67.0080.02
[4] Howie, J. M.; Lallement, G., Certain fundamental congruences on a regular semigroup, (Proc. Glasgow Math. Assoc., 7 (1966)), 145-159 · Zbl 0136.26701
[5] Munn, W. D., A class of irreducible matrix representation of an arbitrary inverse semigroup, (Proc. Glasgow Math. Assoc., 5 (1961)), 41-48 · Zbl 0113.02403
[6] Saitô, T., Ordered idempotent semigroups, J. Math. Soc. Japan, 14, 150-169 (1962) · Zbl 0112.02101
[7] Saitô, T., Regular elements in an ordered semigroup, Pacific J. Math., 13, 263-295 (1963) · Zbl 0113.25202
[8] Saitô, T., Ordered completely regular semigroups, Pacific J. Math., 14, 295-308 (1964) · Zbl 0119.26203
[9] Saitô, T., Proper ordered inverse semigroups, Pacific J. Math., 15, 649-666 (1965) · Zbl 0142.25602
[10] Teissier, M., Sur les équivalences régulières dans les demi-groupes, C.R. Acad. Sci. (Paris), 232, 1987-1989 (1951) · Zbl 0042.25401
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