Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FPM_2012_17_4_a9, author = {V. E. Marenich}, title = {Prime lattice matrices}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {167--179}, publisher = {mathdoc}, volume = {17}, number = {4}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a9/} }
V. E. Marenich. Prime lattice matrices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 167-179. http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a9/
[1] Devadze Kh. M., “Porozhdayuschie mnozhestva polugruppy vsekh binarnykh otnoshenii v konechnom mnozhestve”, Dokl. AN BSSR, 12:9 (1968), 765–768 | MR | Zbl
[2] Marenich V. E., “Prostye matritsy nad distributivnymi reshëtkami”, Fundament. i prikl. mat., 14:7 (2008), 157–173 | MR
[3] Sachkov V. N., Tarakanov V. E., Kombinatorika neotritsatelnykh matrits, TVP, M., 2000 | MR | Zbl
[4] Skornyakov L. A., “Obratimye matritsy nad distributivnymi strukturami”, Sib. mat. zhurn., 27:2 (1986), 182–185 | MR | Zbl
[5] Borosh J., Hartfiel D. J., Maxson C. J., “Answers to questions posed by Richman and Schneider”, Linear and Multilinear Algebra, 3 (1976), 255–258 | DOI | MR | Zbl
[6] De Caen D., Prime Boolean matrices, M. Sci. Thesis, Queen's Univ., Kingston, Ontario, 1979
[7] De Caen D., Gregory D. A., “Prime Boolean matrices”, Combinatorial Mathematics VII, Proc. 7th Aust. Conf. (Newcastle, 1979), Lect. Notes Math., 829, Springer, Berlin, 1980, 76–82 | DOI | MR
[8] De Caen D., Gregory D. A., “Primes in the semigroup of Boolean matrices”, Linear Algebra Appl., 37 (1981), 119–134 | DOI | MR | Zbl
[9] Cho H. H., “Prime Boolean matrices and factorizations”, Linear Algebra Appl., 190 (1993), 87–98 | DOI | MR | Zbl
[10] Cho H. H., “Permanents of prime Boolean matrices”, Bull. Korean Math. Soc., 35:3 (1998), 605–613 | MR | Zbl
[11] Giveon J., “Lattice matrices”, Inform. Control., 7 (1964), 477–484 | DOI | MR | Zbl
[12] Gregory D. A., Pullman N. J., “Prime Boolean matrices, a graph theoretic approach”, Ars Combinatoria, 12 (1981), 81–110 | MR | Zbl
[13] Gregory D. A., Pullman N. J., “Semiring rank: Boolean rank and nonnegative rank factorization”, J. Combin. Inform. Syst. Sci., 8:3 (1983), 223–233 | MR | Zbl
[14] Kim K. H., Boolean Matrix Theory and Applications, Marcel Dekker, New York, 1982 | MR | Zbl
[15] Richman D. J., Schneider H., “Primes in the semigroup of nonnegative matrices”, Linear and Multilinear Algebra, 2 (1974), 135–140 | DOI | MR | Zbl
[16] Tchuente M., On the Decomposition of Boolean Matrices, Univ. of Grenoble, Grenoble, 1980