Title of article :
ON THE ASSOCIATED PRIME IDEALS and THE DEPTH OF POWERS OF SQUAREFREE PRINCIPAL BOREL IDEALS
Author/Authors :
Herzog, Jurgen Universit¨at Duisburg-Essen - Fachbereich Mathematik - Campus Essen, Germany , Lajmiri, Bahareh Department of Mathematics and Computer Science - Amirkabir University of Technology , Rahmati, Farhad Department of Mathematics and Computer Science - Amirkabir University of Technology
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/Ik is considered.
Keywords :
Squarefree principal Borel ideal , socle , astab , dstab
Journal title :
International Electronic Journal of Algebra
