A broken circuit ring.
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Proudfoot, Nicholas, Speyer, David (2006)
Beiträge zur Algebra und Geometrie
Santiago Zarzuela (2002)
Banach Center Publications
Dochtermann, Anton, Engström, Alexander (2009)
The Electronic Journal of Combinatorics [electronic only]
Nagel, Uwe, Reiner, Victor (2009)
The Electronic Journal of Combinatorics [electronic only]
Xiaoqi Wei, Yan Gu (2017)
Czechoslovak Mathematical Journal
Let (resp. ) be the simplicial complex and the facet ideal (resp. ). When , we give the exact formulas to compute the depth and Stanley depth of quotient rings and for all . When , we compute the depth and Stanley depth of quotient rings and , and give lower bounds for the depth and Stanley depth of quotient rings for all .
Skandera, Mark (2001)
The Electronic Journal of Combinatorics [electronic only]
Martínez-Bernal, José, O'Shea, Edwin, Villarreal, Rafael H. (2010)
The Electronic Journal of Combinatorics [electronic only]
Babson, Eric, Novik, Isabella (2006)
The Electronic Journal of Combinatorics [electronic only]
Murai, Satoshi (2009)
The Electronic Journal of Combinatorics [electronic only]
Vélez, Juan D., Flórez, Rigoberto (2000)
Beiträge zur Algebra und Geometrie
Cimpoeaş, Mircea (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
de Alwis, Tilak (2000)
International Journal of Mathematics and Mathematical Sciences
Skandera, Marcos (2001)
Boletín de la Asociación Matemática Venezolana
Marcel Morales, Abbas Nasrollah Nejad, Ali Akbar Yazdan Pour, Rashid Zaare-Nahandi (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
In this paper, we study the Castelnuovo-Mumford regularity of square-free monomial ideals generated in degree . We define some operations on the clutters associated to such ideals and prove that the regularity is preserved under these operations. We apply these operations to introduce some classes of ideals with linear resolutions and also show that any clutter corresponding to a triangulation of the sphere does not have linear resolution while any proper subclutter of it has a linear resolution....
Estrada, Mario E. (2000)
Revista Colombiana de Matemáticas
Margherita Barile, Marcel Morales (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Berglund, Alexander (2009)
The Electronic Journal of Combinatorics [electronic only]
Brändén, Petter (2004)
The Electronic Journal of Combinatorics [electronic only]
Sarfraz Ahmad (2011)
Czechoslovak Mathematical Journal
We define nice partitions of the multicomplex associated with a Stanley ideal. As the main result we show that if the monomial ideal is a CM Stanley ideal, then is a Stanley ideal as well, where is the polarization of .
Crona, Kristina (2008)
Beiträge zur Algebra und Geometrie
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