ideal of linear type; c-sequence; d-sequence; sequence of linear type
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.
 Herzog J., Simis A., Vasconcelos W.: Koszul homology and blowing-up rings
. Commutative Algebra (Trento, 1981), Lecture Notes in Pure and Appl. Math. 84, Dekker, New York, 1983, pp. 79--169. MR 0686942
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