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ON THE ASSOCIATED PRIME IDEALS AND THE DEPTH OF POWERS OF SQUAREFREE PRINCIPAL BOREL IDEALS.

Authors :
Herzog, Jürgen
Lajmiri, Bahareh
Rahmati, Farhad
Source :
International Electronic Journal of Algebra; 2019, Vol. 26, p224-244, 21p
Publication Year :
2019

Abstract

We study algebraic properties of powers of squarefree principal Borel ideals I, and show that astab(I) = dstab(I). Furthermore, the behaviour of the depth function depth S/I<superscript>k</superscript> is considered. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
PRIME ideals
BEHAVIOR

Details

Language :
English
ISSN :
13066048
Volume :
26
Database :
Complementary Index
Journal :
International Electronic Journal of Algebra
Publication Type :
Academic Journal
Accession number :
138060126
Full Text :
https://doi.org/10.24330/ieja.587081