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The semigroup of fully indecomposable relations and Hall relations. (English) Zbl 0261.20057


MSC:

20M10 General structure theory for semigroups
05A05 Permutations, words, matrices
15B48 Positive matrices and their generalizations; cones of matrices
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References:

[1] A. H. Clifford G. B. Preston: The algebraic Theory of Semigroups. American Mathematical Society, Providence, R.I., Vol. 1 (1961), Vol. 2 (1967). · Zbl 0111.03403
[2] Marshall Hall, Jr.: Combinatorial Theory. Blaisdell Publ. Comp., Waltham (Massachusetts), 1967. · Zbl 0196.02401
[3] M. Levin: On nonnegative matrices. Pacific Journal of Mathematics, 36 (1971), 753 - 759. · Zbl 0194.06201
[4] M. Marcus, H. Minc: A Survey of Matrix Theory and Matrix Inequalities. Allyn and Bacon, Boston, 1964. · Zbl 0126.02404
[5] Š. Schwarz: On the semigroup of binary relations on a finite set. Czechoslovak Math. J. 20 (95) (1970), 632-679. · Zbl 0228.20034
[6] Z. Šidák: O počtu kladných prvků v mocninách nezáporné matice. Časopis pěst. mat. 89 (1964), 28-30.
[7] К. А. Зарецкий: Полугруппа вполне эффективных бинарных отношений. Теория полугрупп и ее приложения. Сборник статей, Саратов 1965, 238-250. · Zbl 1099.01519
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