On the relations of isotonian algebras
Authors:
Jürgen Herzog, Ayesha Asloob Qureshi and Akihiro Shikama
Journal:
Proc. Amer. Math. Soc. 145 (2017), 4119-4126
MSC (2010):
Primary 05E45, 05E40, 13C99
DOI:
https://doi.org/10.1090/proc/13502
Published electronically:
June 9, 2017
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Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that for large classes of posets 
and 
, the defining ideal 
of an isotonian algebra is generated by squarefree binomials. Within these classes, those posets are classified for which 
is quadratically generated.
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Additional Information
Jürgen Herzog
Affiliation:
Fakultät für Mathematik, Fachbereich Mathematik, Universität Duisburg-Essen, 45117 Essen, Germany
Email:
juergen.herzog@uni-essen.de
Ayesha Asloob Qureshi
Affiliation:
Faculty of Engineering and Natural Sciences, Sabancı University, Orta Mahalle, Tuzla 34956, Istanbul, Turkey
Email:
aqureshi@sabanciuniv.edu
Akihiro Shikama
Affiliation:
Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan
Email:
a-shikama@cr.math.sci.osaka-u.ac.jp
DOI:
https://doi.org/10.1090/proc/13502
Received by editor(s):
September 6, 2016
Published electronically:
June 9, 2017
Additional Notes:
This paper was partially written during the stay of the second author at The Abdus Salam International Centre of Theoretical Physics (ICTP), Trieste, Italy
Communicated by:
Irena Peeva
Article copyright:
© Copyright 2017
American Mathematical Society
