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Certain Rees matrix semigroups with universal properties. (English) Zbl 0479.20026


MSC:

20M05 Free semigroups, generators and relations, word problems
20M07 Varieties and pseudovarieties of semigroups
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References:

[1] Clifford, A.H.,The free completely regular semigroup on a set, J. Algebra 59 (1979), 434–451. · Zbl 0412.20049 · doi:10.1016/0021-8693(79)90139-X
[2] Clifford, A.H. and Preston, G.B.,The algebraic theory of semigroups, Vol. I, Amer. Math. Soc., Providence, 1961. · Zbl 0111.03403
[3] Eberhart, C., Williams, W. and Kinch, L.,Idempotent-generated regular semigroups, J. Austral. Math. Soc. 15 (1973) 27–34. · Zbl 0269.20048 · doi:10.1017/S1446788700012726
[4] Howie, J.M.,Semigroup amalgams whose cores are inverse semigroups, Quart. J. Math. Oxford (2), 26 (1975), 23–45. · Zbl 0323.20058 · doi:10.1093/qmath/26.1.23
[5] Pastijn, F.,Idempotent-generated completely O-simple semigroups, Semigroup Forum 15 (1977), 41–50. · Zbl 0372.20051 · doi:10.1007/BF02195733
[6] Petrich, M.,Structure of regular semigroups, Cahiers Mathématiques, Montpellier, 1977. · Zbl 0385.20033
[7] Rasin, V.V.,Free completely simple semigroups, Res. in Contemporary Algebra, Matem. Zapiski (Sverdlovsk) (1979), 140–151 (Russian).
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