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Bulletin of the London Mathematical Society 2008 40(1):77-87; doi:10.1112/blms/bdm095
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© 2008 London Mathematical Society

Compressed ideals

Jeff Mermin

Department of Mathematics
University of Kansas Lawrence
KS 66045
USA

Received 31 May 2006. Revision received 18 July 2007.

Compressed ideals have been used by Macaulay and others to study Hilbert functions and lex ideals in a polynomial ring. We formalize the theory of compression, classify the compressed ideals, and provide new proofs for theorems of Macaulay, Kruskal–Katona, and Bigatti, Hulett, and Pardue.

2000 Mathematics Subject Classification 13F20.


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