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论文类型：期刊论文

发表时间：2017-01-01

发表刊物：Acta Scientiarum Mathematicarum

收录刊物：Scopus

卷号：83

期号：1-2

页面范围：215-221

ISSN号：00016969

摘要：In order to explore the submodules in the Hardy space over the bidisk, a new equivalence relation which is based on the core operator, namely congruence, was introduced in [8]. As we know, the structure of the submodules in H2(D2) is very complicated. So it is beneficial to study some good examples of submodules. This paper studies the congruence of the Hardy submodule over the bidisk. It will be shown that the congruence of two inner sequences based submodules can be totally described by the ratio of their inner sequences. ? Bolyai Institute, University of Szeged.