A New Definition for Passivity and Its Relation to Coherence
نویسندگان
چکیده
It is an essential step in decomposition algorithms for radical differential ideals to satisfy the so-called Rosenfeld property. Basically all approaches to achieve this step are based on one of two concepts: Coherence or passivity. This paper gives a modern treatment of passivity. The theorem by Li and Wang stating that passivity implies coherence is extended to a broader setting. A new definition for passivity is suggested and it is shown to allow for a converse statement so that coherence and passivity become equivalent.
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