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A comparison of some generalizations of Green’s relations. (English) Zbl 0506.20034


MSC:

20M10 General structure theory for semigroups
20M15 Mappings of semigroups
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References:

[1] Anscombre, J. C.,Sur une extension du lemme du Greene, Lincei-Rend. Sc. fis. mat. e nat.55 (1973), 650–656.
[2] Clark, C. E. and J. H. Carruth,Generalized Green’s theories, Semigroup Forum20 (1980), 95–127. · Zbl 0438.20045 · doi:10.1007/BF02572674
[3] Clifford, A. H. and G. B. Preston,The Algebraic Theory of Semigroups, Math. Surveys No. 7, Amer. Math. Soc., Vol. 1, 1961. · Zbl 0111.03403
[4] Cripps, A. H.,Green’s Theories and Coextensions, Dissertation, The University of Tennessee, Knoxville, 1980.
[5] Green, J. A.,On the Structure of Semigroups, Annals of Mathematics54 (1951), 163–172. · Zbl 0043.25601 · doi:10.2307/1969317
[6] Marki, L. and O. Steinfeld,A generalization of Green’s relations in semigroups, Semigroup Forum7 (1974), 74–85. · Zbl 0276.20052 · doi:10.1007/BF02315967
[7] Pastijn, F.,A representation of a semigroup by a semigroup of matrices over a group with zero, Semigroup Forum10 (1975), 238–249. · Zbl 0306.20078 · doi:10.1007/BF02194891
[8] Sullivan, R. P.,Generalized partial transformation semigroups, Journal of the Aust. Math. Soc., Vol. XIX (1975), 470–473. · Zbl 0319.20072 · doi:10.1017/S1446788700034492
[9] Tamura, T. and N. Graham,Certain embedding problems of semigroups, Proc. Japan Acad., Vol. 40 (1964), 8–13. · Zbl 0123.01603 · doi:10.3792/pja/1195522864
[10] Wallace, A. D.,Relative ideals in semigroups II, Acta. Math. Sci. Hungaricae14 (1963), 137–148. · Zbl 0122.26802 · doi:10.1007/BF01901936
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