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

Year 2019, Volume: 26 Issue: 26, 224 - 244, 11.07.2019

Jurgen Herzog Bahareh Lajmiri Farhad Rahmati

https://doi.org/10.24330/ieja.587081

Cited By: 2

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^k is considered.

Keywords

Squarefree principal Borel ideal, socle, astab, dstab

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