Quasiortogonal by columns matrices over distributive lattices

Anna V. Zhuklina

Krasnoyarsk State Agricultural University, Krasnoyarsk, Russia

Abstract: 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, boolean matrices, elementary matrices, idempotent matrices.

UDC: 512.64

Received: 29.01.2011
Received in revised form: 04.04.2011
Accepted: 04.06.2011