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In the article, some information is obtained about the set of non-isolated cut-points of a stochastic (probabilistic) automaton having commutative transition matrices. In particular, the set is shown to be nowhere dense in [0, 1]. Original title: К.М.Подниек. О точках сечения некоторых конечных вероятностных автоматов. Автоматика и вычислительная техника, 1970, 5, 90-91.
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