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Keywords:
ideal of linear type; c-sequence; d-sequence; sequence of linear type
ideal of linear type; c-sequence; d-sequence; sequence of linear type
Summary:
The notion of a d-sequence in Commutative Algebra was introduced by Craig Huneke, while the notion of a sequence of linear type was introduced by Douglas Costa. Both types of sequences gene\-ra\-te ideals of linear type. In this paper we study another type of sequences, that we call c-sequences. They also generate ideals of linear type. We show that c-sequences are in between d-sequences and sequences of linear type and that the initial subsequences of c-sequences are c-sequences. Finally we prove a statement which is useful for computational aspects of the theory of c-sequences.
References:
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