scholarly journals Transversal intersection of monomial ideals

2019 ◽  
Vol 129 (5) ◽  
Author(s):  
Joydip Saha ◽  
Indranath Sengupta ◽  
Gaurab Tripathi
Keyword(s):  
Monomial Ideals ◽  
Transversal Intersection

scholarly journals A-graded methods for monomial ideals

2009 ◽  
Vol 322 (8) ◽  
pp. 2886-2904 ◽  
Author(s):  
Christine Berkesch ◽  
Laura Felicia Matusevich
Keyword(s):  
Monomial Ideals

scholarly journals Differential geometry of non-transversal intersection curves of three implicit hypersurfaces in Euclidean 4-space

2016 ◽  
Vol 308 ◽  
pp. 20-38 ◽  
Author(s):  
O. Aléssio ◽  
M. Düldül ◽  
B. Uyar Düldül ◽  
Nassar H. Abdel-All ◽  
Sayed Abdel-Naeim Badr
Keyword(s):  
Differential Geometry ◽  
Transversal Intersection ◽  
Intersection Curves

Irreducible decomposition of monomial ideals

2005 ◽  
Vol 39 (3) ◽  
pp. 99-99 ◽  
Author(s):  
Shuhong Gao ◽  
Mingfu Zhu
Keyword(s):  
Monomial Ideals ◽  
Irreducible Decomposition

Unmixed Monomial Ideals of Dimension Two and Their Cohen–Macaulay Properties

2010 ◽  
Vol 38 (5) ◽  
pp. 1699-1714 ◽  
Author(s):  
Nguyen Cong Minh ◽  
Yukio Nakamura
Keyword(s):  
Monomial Ideals

scholarly journals Stanley’s conjecture for critical ideals

2011 ◽  
Vol 48 (2) ◽  
pp. 220-226
Author(s):  
Azeem Haider ◽  
Sardar Khan
Keyword(s):  
Polynomial Ring ◽  
Hilbert Function ◽  
Monomial Ideal ◽  
Monomial Ideals ◽  
Stanley Depth

Let S = K[x1,…,xn] be a polynomial ring in n variables over a field K. Stanley’s conjecture holds for the modules I and S/I, when I ⊂ S is a critical monomial ideal. We calculate the Stanley depth of S/I when I is a canonical critical monomial ideal. For non-critical monomial ideals we show the existence of a Stanley ideal with the same depth and Hilbert function.

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