2023 年 46 巻 3 号 p. 263-274
In this paper we generalize the Zero Divisor Conjecture and Rigidity Theorem for k-regular sequence. For this purpose for any k-regular M-sequence x1, ..., xn we prove that if , then
, for all i ≥ 1. Also we show that if
, then
, for all integers i ≥ 0 (i ≠ n).
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