Geodesic
Sequences between d-sequences and sequences of linear type
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 1-9 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 13A15, 13A30, 13B25, 13C13
Keywords: ideal of linear type; c-sequence; d-sequence; sequence of linear type 
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Kulosman, Hamid. Sequences between d-sequences and sequences of linear type. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/CMUC_2009_50_1_a0/