On the relations of isotonian algebras
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- by Jürgen Herzog, Ayesha Asloob Qureshi and Akihiro Shikama PDF
- Proc. Amer. Math. Soc. 145 (2017), 4119-4126 Request permission
Abstract:
It is shown that for large classes of posets $P$ and $Q$, the defining ideal $J_{P,Q}$ of an isotonian algebra is generated by squarefree binomials. Within these classes, those posets are classified for which $J_{P,Q}$ is quadratically generated.References
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Additional Information
- Jürgen Herzog
- Affiliation: Fakultät für Mathematik, Fachbereich Mathematik, Universität Duisburg-Essen, 45117 Essen, Germany
- MR Author ID: 189999
- Email: juergen.herzog@uni-essen.de
- Ayesha Asloob Qureshi
- Affiliation: Faculty of Engineering and Natural Sciences, Sabancı University, Orta Mahalle, Tuzla 34956, Istanbul, Turkey
- MR Author ID: 975345
- 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
- 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
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4119-4126
- MSC (2010): Primary 05E45, 05E40, 13C99
- DOI: https://doi.org/10.1090/proc/13502
- MathSciNet review: 3690599