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Idempotents and product representations with applications to the semigroup of binary relations. (English) Zbl 0264.20047


MSC:

20M10 General structure theory for semigroups
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References:

[1] BIRKHOFF, G.,Lattice Theory. AMS Colloq. Publ. Vol. XXV, Providence, R.I., 1967.
[2] BRANDON, R.L., D.W. HARDY and G. MARKOWSKY,The Schützenberger Group of an H-Class in the Semigroup of Binary Relations. Semigroup Forum, to appear. · Zbl 0259.20056
[3] BUTLER, K.K.-H.,An Identity in Combinations. Kyungpook Mathematical Journal, Vol. 11, No. 2 (1971), 197–198. · Zbl 0234.05006
[4] BUTLER, K.K.-H.,Binary Relations, inRecent Trends in Graph Theory: Lecture Notes in Mathematics, No. 186 (Springer Verlag, Berlin, N.Y., 1971), 25–47.
[5] BUTLER, K.K.-H.,On (0,1)-Matrix Semigroups. Semigroup Forum 3(1971), 74–79. · Zbl 0228.20059
[6] CLIFFORD, A.H. and G.B. PRESTON,The Algebraic Theory of Semigroups. Vol. 1, AMS Math. Surveys No. 7, Providence, R.I., 1961. · Zbl 0111.03403
[7] PLEMMONS, R.J.,Idempotent Binary Relations. Tech. Report, Univ. of Tennessee, Knoxville, 1969.
[8] RIORDAN, J.,An Introduction to Combinatorial Analysis. Wiley, New York, 1958. · Zbl 0078.00805
[9] ZARETSKII, K.A.,The Semigroup of Binary Relations. Mat. Sbornik, (Russian) 61(1963), 291–305.
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