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2013 RELATIVE ATTACHED PRIMES AND COREGULAR SEQUENCES
J. R. Garcia Rozas, Inmaculada López, Luis Oyonarte
Taiwanese J. Math. 17(3): 1095-1114 (2013). DOI: 10.11650/tjm.17.2013.3055

Abstract

We extend the existing concepts of secondary representation of a module, coregular sequence and attached prime ideals to the more general setting of any hereditary torsion theory. We prove that any $\tau$-artinian module is $\tau$-representable and that such a representation has some sort of unicity in terms of the set of $\tau$-attached prime ideals associated to it. Then we use $\tau$-coregular sequences to find a nice way to compute the relative width of a module. Finally we give some connections with the relative local homology.

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J. R. Garcia Rozas. Inmaculada López. Luis Oyonarte. "RELATIVE ATTACHED PRIMES AND COREGULAR SEQUENCES." Taiwanese J. Math. 17 (3) 1095 - 1114, 2013. https://doi.org/10.11650/tjm.17.2013.3055

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1295.13022
MathSciNet: MR3072278
Digital Object Identifier: 10.11650/tjm.17.2013.3055

Subjects:
Primary: 13D05
Secondary: 13D30

Keywords: attached prime , coregular sequence , representable module , secondary module , width

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

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Vol.17 • No. 3 • 2013
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