Archiv der Mathematik

, Volume 112, Issue 6, pp 587–597 | Cite as

Powers of t-spread principal Borel ideals

  • Claudia Andrei
  • Viviana EneEmail author
  • Bahareh Lajmiri


We prove that t-spread principal Borel ideals are sequentially Cohen–Macaulay and study their powers. We show that these ideals possess the strong persistence property and compute their limit depth.


t-Spread principal Borel ideals Persistence property Limit depth Sequentially Cohen–Macaulay ideals 

Mathematics Subject Classification

Primary 13D02 Secondary 13H10 05E40 13C14 


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We would like to thank the anonymous referee for the valuable comments.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceUniversity of BucharestBucharestRomania
  2. 2.Faculty of Mathematics and Computer ScienceOvidius UniversityConstantaRomania
  3. 3.Department of Mathematics and Computer ScienceAmirkabir University of TechnologyTehranIran

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