1Faculty of Mathematics and Computer Science Ovidius University Constanta 2The Abdus Salam International Center of Theoretical Physics, Trieste 3Department of Mathematics, Lahore Leads University, Lahore
The electronic journal of combinatorics, Tome 20 (2013) no. 3
Let $L$ be a distributive lattice and $R(L)$ the associated Hibi ring. We compute reg $R(L)$ when $L$ is a planar lattice and give bounds for reg $R(L)$ when $L$ is non-planar, in terms of the combinatorial data of $L.$ As a consequence, we characterize the distributive lattices $L$ for which the associated Hibi ring has a linear resolution.
Viviana Ene
1
;
Ayesha Asloob Qureshi
2
;
Asia Rauf
3
1
Faculty of Mathematics and Computer Science
Ovidius University
Constanta
2
The Abdus Salam International Center of Theoretical Physics, Trieste
3
Department of Mathematics, Lahore Leads University, Lahore
@article{10_37236_3621,
author = {Viviana Ene and Ayesha Asloob Qureshi and Asia Rauf},
title = {Regularity of join-meet ideals of distributive lattices},
journal = {The electronic journal of combinatorics},
year = {2013},
volume = {20},
number = {3},
doi = {10.37236/3621},
zbl = {1295.05277},
url = {http://geodesic.mathdoc.fr/articles/10.37236/3621/}
}
TY - JOUR
AU - Viviana Ene
AU - Ayesha Asloob Qureshi
AU - Asia Rauf
TI - Regularity of join-meet ideals of distributive lattices
JO - The electronic journal of combinatorics
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VL - 20
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UR - http://geodesic.mathdoc.fr/articles/10.37236/3621/
DO - 10.37236/3621
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%A Asia Rauf
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%R 10.37236/3621
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Viviana Ene; Ayesha Asloob Qureshi; Asia Rauf. Regularity of join-meet ideals of distributive lattices. The electronic journal of combinatorics, Tome 20 (2013) no. 3. doi: 10.37236/3621
