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

Authors : Jurgen HERZOG, Bahareh LAJMİRİ, Farhad RAHMATİ

Pages : 224-244

Doi:10.24330/ieja.587081

View : 20 | Download : 10

Publication Date : 2019-07-11

Article Type : Research Paper

Abstract :We study algebraic properties of powers of squarefree principal Borel ideals I, and show that astabinsert ignore into journalissuearticles values(I); = dstabinsert ignore into journalissuearticles values(I);. Furthermore, the behaviour of the depth function depth S/I^k is considered.
Keywords : Squarefree principal Borel ideal, socle, astab, dstab