Abstract

In this paper we dene a concept of depth of a consequence operation which seems to have a few useful properties. To make our denition worth- while we shall show that the concept of depth leads to a strengthening of the well-known theorem of R. Wojcicki [4]. For unexplained terminology and notations we refer the reader to R. Wojcicki [5]. Algebras and matrices con- sidered in this paper are of the same similarity type indicating a sequence of nitary operations