Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Orderings of Monomial Ideals Matthias Aschenbrenner
 

Summary: Orderings of Monomial Ideals
Matthias Aschenbrenner
Department of Mathematics
University of California at Berkeley
Evans Hall
Berkeley, CA 94720
maschenb@math.berkeley.edu
Wai Yan Pong
Department of Mathematics
California State University Dominguez-Hills
1000 E. Victoria Street
Carson, CA 90747
pong@math.csudh.edu
Abstract
We study the set of monomial ideals in a polynomial ring as an
ordered set, with the ordering given by reverse inclusion. We give
a short proof of the fact that every antichain of monomial ideals is
finite. Then we investigate ordinal invariants for the complexity of
this ordered set. In particular, we give an interpretation of the height
function in terms of the Hilbert-Samuel polynomial, and we compute

  

Source: Aschenbrenner, Matthias - Department of Mathematics, University of California at Los Angeles

 

Collections: Mathematics