The best possible integer un such that fun = 1, if f is an invertible n × n matrix with coefficients in a Boolean ring, is determined. The period of linear recursive sequences in a Boolean ring (e.g.
G. Aalipour, S. Akbari, M. Behboodi, R. Nikandish, M.J. Nikmehr, F. Shaveisi, The classification of the annihilating-ideal graph of a commutative ring, Algebra Colloq ...