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Level Rings Arising from Meet-Distributive Meet-Semilattices

Published online by Cambridge University Press:  11 January 2016

Jürgen Herzog  and
Takayuki Hibi
Jürgen Herzog
Affiliation:
Fachbereich Mathematik und Informatik, Universitäat Duisburg-Essen, Campus Essen 45117 Essen, Germanyjuergen.herzog@uni-essen.de
Takayuki Hibi
Affiliation:
Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka Osaka 560-0043, Japanhibi@math.sci.osaka-u.ac.jp
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Abstract

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The homogenized ideal dual complex of an arbitrary meet-semilattice is introduced and described explicitly. Meet-distributive meet-semilattices whose homogenized ideal dual complex is level are characterized.

Keywords

13D0213H1006A1206D99
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 181 , March 2006 , pp. 29 - 39
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2006

References

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