Laboratory for Control, Learning, and Systems Biology

noncommutative rings

1976
  1. E.D. Sontag, "On finitely accessible and finitely observable rings", J. Pure Appl. Algebra, vol. 8, no. 1, pp. 97–104, 1976. pdf
    Abstract

    Two classes of rings which occur in linear system theory are introduced and compared. Characterizations of one of them are given in terms, of integral extensions (every finite extension of R is integral) and Cayley–Hamilton type matrix condition. A comparison is made in the case of no zero-divisors with Ore domains.