scholarly journals Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs

Mathematics ◽  
2016 ◽  
Vol 4 (3) ◽  
pp. 43
Author(s):  
Seyyede Seyyedi ◽  
Farhad Rahmati
Keyword(s):  
Arithmetical Rank

The arithmetical rank of the edge ideals of cactus graphs

2017 ◽  
Vol 45 (12) ◽  
pp. 5407-5419
Author(s):  
Margherita Barile ◽  
Antonio Macchia
Keyword(s):  
Edge Ideals ◽  
Arithmetical Rank ◽  
Cactus Graphs

scholarly journals Arithmetical rank of strings and cycles

2017 ◽  
Vol 9 (1) ◽  
pp. 89-106 ◽  
Author(s):  
Kyouko Kimura ◽  
Paolo Mantero
Keyword(s):  
Arithmetical Rank

On the Arithmetical Rank of the Edge Ideals of Some Graphs

2012 ◽  
Vol 19 (spec01) ◽  
pp. 797-806 ◽  
Author(s):  
Fatemeh Mohammadi ◽  
Dariush Kiani
Keyword(s):  
Projective Dimension ◽  
Monomial Ideals ◽  
Common Vertex ◽  
Edge Ideals ◽  
Arithmetical Rank

In this paper, we compute the projective dimension of the edge ideals of graphs consisting of some cycles and lines which are joint in a common vertex. Moreover, we show that for such graphs, the arithmetical rank equals the projective dimension. As an application, we can compute the arithmetical rank for some homogenous monomial ideals.

Arithmetical Rank of a Squarefree Monomial Ideal whose Alexander Dual is of Deviation Two

2015 ◽  
Vol 40 (3) ◽  
pp. 375-391 ◽  
Author(s):  
Kyouko Kimura ◽  
Naoki Terai ◽  
Ken-ichi Yoshida
Keyword(s):  
Monomial Ideal ◽  
Alexander Dual ◽  
Arithmetical Rank

scholarly journals Simplicial ideals, 2-linear ideals and arithmetical rank

2010 ◽  
Vol 324 (12) ◽  
pp. 3431-3456 ◽  
Author(s):  
Marcel Morales
Keyword(s):  
Arithmetical Rank

scholarly journals On the arithmetical rank of monomial ideals

1988 ◽  
Vol 112 (1) ◽  
pp. 86-89 ◽  
Author(s):  
Gennady Lyubeznik
Keyword(s):  
Monomial Ideals ◽  
Arithmetical Rank

Binomial arithmetical rank of lattice ideals

2002 ◽  
Vol 109 (4) ◽  
pp. 455-463 ◽  
Author(s):  
Kazufumi Eto
Keyword(s):  
Lattice Ideals ◽  
Arithmetical Rank
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