Bisimple inverse semi-groups

Bisimple inverse semi-groups
HTML articles powered by AMS MathViewer

by N. R. Reilly

Trans. Amer. Math. Soc. 132 (1968), 101-114

DOI: https://doi.org/10.1090/S0002-9947-1968-0227292-2

PDF | Request permission

References

A. H. Clifford, A class of $d$-simple semigroups, Amer. J. Math. 75 (1953), 547–556. MR 56597, DOI 10.2307/2372503
A. H. Clifford and G. B. Preston, The algebraic theory of semigroups. Vol. II, Mathematical Surveys, No. 7, American Mathematical Society, Providence, R.I., 1967. MR 0218472
W. D. Munn, A class of irreducible matrix representations of an arbitrary inverse semigroup, Proc. Glasgow Math. Assoc. 5 (1961), 41–48. MR 153762, DOI 10.1017/S2040618500034286
W. D. Munn, Uniform semilattices and bisimple inverse semigroups, Quart. J. Math. Oxford Ser. (2) 17 (1966), 151–159. MR 199292, DOI 10.1093/qmath/17.1.151
N. R. Reilly, Embedding inverse semigroups in bisimple inverse semigroups, Quart. J. Math. Oxford Ser. (2) 16 (1965), 183–187. MR 190251, DOI 10.1093/qmath/16.2.183
R. J. Warne, Matrix representations of $d$-simple semigroups, Trans. Amer. Math. Soc. 106 (1963), 427–435. MR 143836, DOI 10.1090/S0002-9947-1963-0143836-9
R. J. Warne, Regular $D$-classes whose idempotents obey certain conditions, Duke Math. J. 33 (1966), 187–195. MR 188331, DOI 10.1215/S0012-7094-66-03323-0

I-bisimple semigroups