Results 181 to 190 of about 887,096 (204)

Monomial ideals

Journal of Mathematical Sciences, 2007
The author studies the numerical characteristics of monomial ideals in polynomial rings \(A=k[x_1,\ldots x_n]\) and in exterior algebras \(E\) on the same number of variables. In Chapter 2 of the paper, the author generalizes Macaulay's theorem to quotient rings. That is, the author gives conditions on and ideal \(I\) and on ideals \(J\) containing \(I\
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Irreducible decomposition of monomial ideals

ACM SIGSAM Bulletin, 2005
In this paper we present two algorithms for irreducible decomposition of monomial ideals. We first use staircase structures to study the monomial ideals. We generalize the shifting degrees rule from two variables to three variables and then arbitrary case.
Shuhong Gao, Mingfu Zhu
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Circulant Digraphs and Monomial Ideals

2005
It is known that there exists a Minimum Distance Diagram (MDD) for circulant digraphs of degree two (or double-loop computer networks) which is an L-shape. Its description provides the graph's diameter and average distance on constant time. In this paper we clarify, justify and extend these diagrams to circulant digraphs of arbitrary degree by ...
Domingo Gómez-Pérez, Jaime Gutierrez 0001, Álvar Ibeas   +2 more
openaire   +1 more source

Monomial Ideals

2011
Jürgen Herzog, Takayuki Hibi
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An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection

Journal of Symbolic Computation, 2007
Juan José Salazar Gonzalez, Ignacio Garcia Marco, Isabel Bermejo   +2 more
exaly  

On the stable set of associated prime ideals of a monomial ideal

Archiv Der Mathematik, 2012
Shamila Bayati, Jürgen Herzog, Giancarlo Rinaldo   +2 more
exaly  

Monomial Ideals

2002
Serkan Hoşten, Gregory G. Smith
openaire   +1 more source

Computing the Betti table of a monomial ideal: A reduction algorithm

Journal of Symbolic Computation, 2018
Maria-Laura Torrente, Matteo Varbaro
exaly  

Detecting the maximal-associated prime ideal of monomial ideals

Boletin De La Sociedad Matematica Mexicana, 2018
Saeed Rajaee
exaly  

On the Stable Set of Associated Prime Ideals of Monomial Ideals and Square-Free Monomial Ideals

Communications in Algebra, 2014
Kazem Khashyarmanesh, Mehrdad Nasernejad   +1 more
exaly