In this paper, the possibility of obtaining certain decompositions with finite-dimensional intersection, for a given complete two-dimensional behavior, is investigated and related to the factor skewprimeness property of certain matrix pairs involved in the behavior description. The analysis carried on here leads to some preliminary results, which extend those about direct sum decompositions presented in [1].
Some results on the relationship between two-dimensional behaviors decompositions and the factor skew-primeness property
BISIACCO, MAURO;VALCHER, MARIA ELENA
2002
Abstract
In this paper, the possibility of obtaining certain decompositions with finite-dimensional intersection, for a given complete two-dimensional behavior, is investigated and related to the factor skewprimeness property of certain matrix pairs involved in the behavior description. The analysis carried on here leads to some preliminary results, which extend those about direct sum decompositions presented in [1].
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