s-Sequences and symmetric algebras

Authors
Herzog, J Restuccia, G Tang, ZM
Citation
J. Herzog et al., s-Sequences and symmetric algebras, MANUSC MATH, 104(4), 2001, pp. 479-501
Citations number
16
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611 → ACNP
Volume
104
Issue
4
Year of publication
2001
Pages
479 - 501
Database
ISI
SICI code
0025-2611(200104)104:4<479:SASA>2.0.ZU;2-A
Abstract
In this paper we introduce the concept of s-sequences in order to study the symmetric algebra of a module. It is explained how s-sequences are related to d-sequences. The theory is applied to study the symmetric algebra of ge neric modules. We also compute the Grobner basis of the defining ideals of these symmetric algebras.