Geodesic
Quasiortogonal by columns matrices over distributive lattices
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 458-469

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In this paper, quasiortogonal by columns matrices over distributive lattices are studied. We obtain criteria of solvability of matrix equations in case the equations include such matrices. Criteria of such idempotent matrices are proved. Factorization properties of quasiortogonal by columns $(\tilde0,\tilde1)$-matrices are studied.
Keywords: matrices over lattices, elementary matrices
Mots-clés : boolean matrices, idempotent matrices. 
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     author = {Anna V. Zhuklina},
     title = {Quasiortogonal by columns matrices over distributive lattices},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {458--469},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a3/}
}
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Anna V. Zhuklina. Quasiortogonal by columns matrices over distributive lattices. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 458-469. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a3/