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COUNIFORM DIMENSION OVER SKEW POLYNOMIAL RINGS

ABSTRACT In this paper, we study the behavior of the couniform (or dual Goldie) dimension of a module under various polynomial extensions. For a ring automorphism σ ∈ Aut(R), we use the notion of a σ-compatible module M R to obtain results on the couniform dimension of the polynomial modules M[x], M[x −1], and M[x, x −1] over suitable skew extension rings.