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Semilattices of bisimple orthodox semigroups. (English) Zbl 0288.20083


MSC:

20M10 General structure theory for semigroups
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References:

[1] Clifford, A. H.,A class of d-simple semigroups, Amer. J. Math. 75 (1953), 547–556 · Zbl 0051.01302 · doi:10.2307/2372503
[2] Clifford, A. H.,The structure of bisimple orthodox semigroups as ordered pairs, Semigroup Forum 5 (1972), 127–136. · Zbl 0264.20046 · doi:10.1007/BF02572882
[3] Clifford, A. H.,The structure of bisimple left unipotent semigroups as ordered pairs, Semigroup Forum 5 (1972), 137–144. · Zbl 0264.20045 · doi:10.1007/BF02572883
[4] Clifford, A. H.,The structure of bisimple orthodox semigroups as ordered pairs, Tulane University, multilithed (1972), 63 pp. · Zbl 0264.20046
[5] Clifford, A. H. and G. B. Preston,The Algebraic Theory of Semigroups, Math. Surveys No. 7, Amer. Math. Soc., Vol. I, 1961; Vol. II, 1967. · Zbl 0111.03403
[6] Cantos, R. L.,Semilattices of bisimple inverse semigroups, Quart. J. Math. Oxford (2), 22 (1971), 379–393. · Zbl 0247.20070 · doi:10.1093/qmath/22.3.379
[7] LaTorre, D. R.,Semilattices of bisimple orthodox semigroups, Clemson University, preprint, 1974. · Zbl 0288.20083
[8] Petrich, M.,Introduction to Semigroups, Merrill Publishing Company, 1973. · Zbl 0321.20037
[9] Reilly, N.R.,Bisimple inverse semigroups, Trans. Amer. Math. Soc. 132 (1968), 101–114. · Zbl 0159.02601
[10] Venkatesan, P. S.,Bisimple left inverse semigroups, Semigroup Forum 4 (1972), 34–45. · Zbl 0275.20114 · doi:10.1007/BF02570767
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