Geodesic
On determinant zeros of boolean matrices
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 56-61

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The properties of exteriority and interiority of square matrices with elements from arbitrary Boolean algebra are studied in this paper. The exterior and interior parts form a degenerate part of a matrix with zero determinant. It is shown, in particular, that the set of exterior parts is a normal set in the Boolean algebra of all Boolean square matrices and it is a lower semilattice. The set of interior parts is an upper semilattice. Moreover linear combinations and even polynomials of the interiorities also belong to it. 
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     author = {V. B. Poplavskii},
     title = {On determinant zeros of boolean matrices},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {56--61},
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     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a9/}
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V. B. Poplavskii. On determinant zeros of boolean matrices. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 56-61. http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a9/