- International Electronic Journal of Algebra
- Vol: 26 Issue: 26
- ON THE ASSOCIATED PRIME IDEALS AND THE DEPTH OF POWERS OF SQUAREFREE PRINCIPAL BOREL IDEALS
ON THE ASSOCIATED PRIME IDEALS AND THE DEPTH OF POWERS OF SQUAREFREE PRINCIPAL BOREL IDEALS
Authors : Jurgen Herzog, Bahareh Lajmiri, Farhad Rahmati
Pages : 224-244
Doi:10.24330/ieja.587081
View : 8 | Download : 4
Publication Date : 2019-07-11
Article Type : Research
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