Sequences between d-sequences and sequences of linear type
Commentationes Mathematicae Universitatis Carolinae (2009)
- Volume: 50, Issue: 1, page 1-9
- ISSN: 0010-2628
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topKulosman, Hamid. "Sequences between d-sequences and sequences of linear type." Commentationes Mathematicae Universitatis Carolinae 50.1 (2009): 1-9. <http://eudml.org/doc/32476>.
@article{Kulosman2009,
abstract = {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 generate 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.},
author = {Kulosman, Hamid},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ideal of linear type; c-sequence; d-sequence; sequence of linear type; ideal of linear type; -sequence; -sequence; sequence of linear type},
language = {eng},
number = {1},
pages = {1-9},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sequences between d-sequences and sequences of linear type},
url = {http://eudml.org/doc/32476},
volume = {50},
year = {2009},
}
TY - JOUR
AU - Kulosman, Hamid
TI - Sequences between d-sequences and sequences of linear type
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 1
SP - 1
EP - 9
AB - 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 generate 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.
LA - eng
KW - ideal of linear type; c-sequence; d-sequence; sequence of linear type; ideal of linear type; -sequence; -sequence; sequence of linear type
UR - http://eudml.org/doc/32476
ER -
References
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- Huneke C., 10.1016/0021-8693(80)90179-9, J. Algebra 62 (1980), 268--275. (1980) Zbl0439.13001MR0563225DOI10.1016/0021-8693(80)90179-9
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- Huneke C., 10.1016/0001-8708(82)90045-7, Adv. in Math. 46 (1982), 249--279. (1982) Zbl0505.13004MR0683201DOI10.1016/0001-8708(82)90045-7
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