Geodesic
Cramer's formulas for systems of linear equations and inequalities over Boolean algebra
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 3, pp. 43-46

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There obtained analogies of classical Cramer's formulas for systems of linear equations and inequalities with square matrix of coefficients from Boolean algebra. 
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     author = {V. B. Poplavski},
     title = {Cramer's formulas for systems of linear equations and inequalities over {Boolean} algebra},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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     url = {http://geodesic.mathdoc.fr/item/ISU_2011_11_3_a5/}
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V. B. Poplavski. Cramer's formulas for systems of linear equations and inequalities over Boolean algebra. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 3, pp. 43-46. http://geodesic.mathdoc.fr/item/ISU_2011_11_3_a5/