References
Berthiaume, P.,The injective envelope of S-set, Canad. Math. Bull., 10 (1967), 261–273.
Birkhoff, G.,Lattice theory, Amer. Math. Soc. Colloq. Publ. XXV, 3rd ed. Providence, R. I., 1967.
Clifford, A. H. and G. B. Preston,Algebraic theory of semigroups, Vol. 1, Math. Surveys, No. 7, Amer. Math. Soc., Providence, R. I., 1961.
Feller, E. H. and R. L. Gantos,Completely injective semigroups, Pacific J. Math. 31 (1969), 359–366.
Fountain, J. B.,Completely right injective semigroups, Proc. London Math. Soc., 28 (1974), 28–44.
Isbell, J. R.,Beatific semigroups, J. Algebra, 23 (1972), 228–238.
Johnson, C. S. Jr. and F. R. McMorris,Injective hulls of certain S-systems over a semilattice, Proc. Amer. Math. Soc., 32 (1972), 371–375.
Masat, F. E.,Proper regular semigroups, Proc. Amer. Math. Soc., 71 (1978), 189–192.
Schein, B. M.,Completion, Translational hulls and ideal extensions of inverse semigroups, Czechoslovak Math. J., 23 (1973), 575–610.
Schein, B. M.,Injective monars over inverse semigroups, Colloq. Math. Soc., Janos Bolyai 20, Algebraic theory of semigroups, Szeged (Hungary), 1976, 519–544.
Skornjakov, L. A.,On the homological classification of monoids, Sibirsk. Math. Z., 10 (1969), 1139–1143: Erratum, Sibirsk. Math. Z., 12 (1971), 689. (in Russian)
Shoji, K.,Self-injective non-singular semigroups, Proc. of 3rd Symposium on Semigroups, 1979, 69–78.
Shoji, K.,Completely right injective semigroups, Math. Japonica, 24 (1980), 609–615.
Shoji, K.,Injective hulls of certain right reductive semigroups as right S-systems, Mem. Fac. Sci., Shimane Univ., 14 (1980), 25–24.
Venkatesan, P. S.,Right (Left) inverse semigroups, J. Algebra, 31 (1974), 209–217.
Yamada, M.,Regular semigroups whose idempotents satisfy permutation identities, Pacific J. Math., 21 (1967), 371–392.
Yamada, M.,Orthodox semigroups whose idempotents satisfy a certain identity, Semigroup Forum, 6 (1973), 113–128.
Yamada, M. and N. Kimura,Note on idempotent semigroups. II, Proc. Japan Acad., 34 (1958), 110–112.
Yamada, M. and K. Shoji,On H-compatible quasiorthodox semigroups, Mem. Fac. Sci., Shimane Univ., 13 (1979), 1–9.
Kimura, N.,The structure of idempotent semigroups. (I), Pacific J. Math., 8 (1958), 257–275.
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Communicated by Boris M. Schein
Dedicated to Professor Takasaburo Ukegawa on his 60th birthday
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Shoji, K. On right self-injective regular semigroups. Semigroup Forum 25, 51–71 (1982). https://doi.org/10.1007/BF02573588
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DOI: https://doi.org/10.1007/BF02573588