References
Brown. D., On clans of nonnegative matrices. Proc. Amer. Math. Soc. (1964). 671–674.
Clark, W. Edwin, Remarks on the Kernel of a matrix semigroup. Czechoslovak Math. J. 15 (90), (1965), 305–309.
Clifford, A.H. and G.B. Preston. The Algebraic Theory of Semi-groups I. Math Surveys. 7. Amer. Math. Soc., 1961.
Flor, P., Groups of nonnegative matrices. Comp. Math. 21 (1969), 376–382.
Fritz, F.J., B. Huppert, und W. Willems Stochastische Matrizen. Springer-Verlag. (Berlin, Heidelberg, New York) 1979.
Kesten, H. and Spitzer, F., Convergence in distribution for products of random matrices. Z. Wahr. Verw. Geb. 67, (1984), 363–386.
Mukherjea, A., A new result on the convergence of nonhomogeneous stochastic chains. Trans. Amer. Math. Soc. 262, (1980), 505–520.
Mukherjea. A. and N.A. Tserpes. Measures on topological semigroups. Lecture Notes in Math. No. 547. Springer-Verlag. 1976.
Rosenblatt, M., Markov processes: Structure and Asymptotic behavior. Springer-Verlag. (Berlin, Heidelberg. New York) 1971.
Rosenblatt, M., Convolution sequences of measures on the semigroup of stochastic matrices. Proceedings of the Bowdoin College meeting on random matrices in July. 1984. Amer. Math. Society.
Shang-jun, Y., The structure of H-classes in the semigroup of nonnegative matrices. Lin. Alg. Appl. 60 (1984) 91–111.
Tam, B.S., A geometric treatment of generalized inverse and semigroups of nonnegative matrices, Lin. Alg. Appl. 41 (1981), 225–272.
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Communicated by Karl H. Hofmann
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Mukherjea, A. Completely simple semigroups of matrices. Semigroup Forum 33, 405–429 (1986). https://doi.org/10.1007/BF02573212
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DOI: https://doi.org/10.1007/BF02573212