On the Difference Problem for Semilinear Power Series
نویسنده
چکیده
We prove in this paper that if r and s are two semilinear power series in commuting variables and s has bounded coefficients, then r−s is a rational series. This result can be thought of as extending a result of Eilenberg for series in noncommuting variables. However, our proof is combinatorial, avoiding the use of a deeply algebraic cross-section theorem as in the noncommutative case.
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تاریخ انتشار 2003