Algebra of semimagic matrices and its length
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 52-76

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A matrix is called semimagic if all its row and column sums are equal. The length of the algebra of semimagic matrices with respect to different generating systems is investigated.
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A. E. Guterman; O. V. Markova; S. D. Sochnev. Algebra of semimagic matrices and its length. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 52-76. http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a4/