In this paper, the possibility of obtaining certain decompositions with finite-dimensional intersection, for a given two-dimensional behavior, are investigated and related to the factor skew-primeness property of suitable matrix pairs, involved in the behavior description. The analysis carried on here represents a first step toward a complete generalization of the preliminary results about direct sum decompositions presented in [2].
On the relationship between two-dimensional behaviors decompositions and the factor skew-primeness property
BISIACCO, MAURO;VALCHER, MARIA ELENA
2000
Abstract
In this paper, the possibility of obtaining certain decompositions with finite-dimensional intersection, for a given two-dimensional behavior, are investigated and related to the factor skew-primeness property of suitable matrix pairs, involved in the behavior description. The analysis carried on here represents a first step toward a complete generalization of the preliminary results about direct sum decompositions presented in [2].
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