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@article{FPM_2012_17_5_a5, author = {E. E. Marenich}, title = {Determinant theory for lattice matrices}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {87--101}, publisher = {mathdoc}, volume = {17}, number = {5}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_5_a5/} }
E. E. Marenich. Determinant theory for lattice matrices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 87-101. http://geodesic.mathdoc.fr/item/FPM_2012_17_5_a5/
[1] Aranovich B. I., “Ispolzovanie matrichnykh metodov v problemakh analiza releino-kontaktnykh setei”, Avtomatika i telemekhanika, 1949, no. 10, 437–451
[2] Poplavskii V. B., “Ob'ëmy i opredeliteli stepenei tranzitivnykh i refleksivnykh bulevykh otnoshenii na konechnom mnozhestve”, Izv. Tulsk. gos. un-ta. Ser. Matematika. Mekhanika. Informatika, 10:1 (2004), 134–141 | MR
[3] Poplavskii V. B., “Opredeliteli stepenei bulevykh matrits”, Chebyshëvskii sb., 5:3(11) (2004), 98–111 | MR | Zbl
[4] Poplavskii V. B., “Orientirovannye opredeliteli proizvedeniya bulevykh matrits”, Matematika. Mekhanika, 6, Izd-vo Saratovsk. un-ta, 2004, 111–114
[5] Poplavskii V. B., “O razlozhenii opredelitelei bulevykh matrits”, Fundament. i prikl. mat., 13:4 (2007), 199–223 | MR | Zbl
[6] Poplavskii V. B., “O rangakh, klassakh Grina i teorii opredelitelei bulevykh matrits”, Diskret. mat., 20:4 (2008), 42–60 | DOI | MR | Zbl
[7] Sokolov O. B., “Primenenie bulevykh opredelitelei k analizu logicheskikh mnogopolyusnikov”, Uchënye zapiski Kazansk. gos. un-ta, 123, no. 6, 1963, 155–164
[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] Chechlarova K., “Powers of matrices over distributive lattices. A review”, Fuzzy Sets Systems, 138 (2003), 627–641 | DOI | MR
[10] Chesley D. S., Bevis J. H., “Determinants for matrices over lattices”, Proc. Royal Soc. Edinburgh, 68 (1969), 138–144 | MR | Zbl
[11] Grätzer G., General Lattice Theory, Akademie, Berlin, 1978 | MR | Zbl
[12] Hammer P. L., Rudeanu S., Méthodes booléenes en recherche opérationelle, Dunod, Paris, 1970 | MR | Zbl
[13] Kim K. H., Roush F. W., “Generalized fuzzy matrices”, Fuzzy Sets Systems, 4 (1980), 293–315 | DOI | MR | Zbl
[14] Poplavski V., “On orientability and degeneration of Boolean binary relation on a finite set”, Math. Logic in Asia. Proc. 9th Asian Logic Conf., World Scientific Press, Singapore, 2006, 203–214 | DOI | MR | Zbl
[15] Poplin P. L., Hartwig R. E., “Determinant identities over commutative semiring”, Linear Algebra Appl., 387 (2004), 99–132 | DOI | MR | Zbl
[16] Reutenauer Ch., Staubing H., “Inversion of matrices over a commutative semiring”, J. Algebra, 88:2 (1984), 350–360 | DOI | MR | Zbl