On generalized inverses of Boolean matrices. (English) Zbl 0322.15011


15A09 Theory of matrix inversion and generalized inverses
15B33 Matrices over special rings (quaternions, finite fields, etc.)
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[1] Butler, K.K.-H., On (0, 1)-matrix semigroups, Ph.D. thesis, (1971), George Washington University
[2] Butler, K.K.-H., A Moore-Penrose inverse for Boolean relation matrices, Proc. second Australian combinatorics conference, (August 1973), Melbourne
[3] Halmos, P.R., Lectures on Boolean algebras, (1963), Van Nostrand Princeton, N.J · Zbl 0114.01603
[4] Markowsky, G., Idempotent and product representations with application to the semigroup of binary relations, Semigroup forum, 5, 95-119, (1972) · Zbl 0264.20047
[5] Plemmons, R.J., Generalized inverses of Boolean relation matrices, SIAM J. appl. math., 20, 426-433, (1971) · Zbl 0227.05013
[6] Rao, C.R., On generalized inverses of Boolean valued matrices, Conference on combinatorial mathematics, Delhi, (1972), presented at the
[7] Rao, C.R.; Mitra, S.K., Generalized inverse of matrices and its applications, (1971), Wiley New York
[8] Rutherford, D.E., Inverses of Boolean matrices, Proc. Glasgow math. assoc., 6, 49-53, (1963) · Zbl 0114.01701
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