Index of nilpotency of binomial ideals

1999 ◽  
Vol 33 (3) ◽  
pp. 18
Author(s):  
I. Ojeda Martínez de Castilla ◽  
R. Piedra Sánchez
Keyword(s):  
Binomial Ideals

scholarly journals A saturation algorithm for homogeneous binomial ideals

2011 ◽  
Vol 45 (1/2) ◽  
pp. 121-122
Author(s):  
Deepanjan Kesh ◽  
Shashank K. Mehta
Keyword(s):  
Binomial Ideals

scholarly journals On the regularity and defect sequence of monomial and binomial ideals

2018 ◽  
Vol 69 (3) ◽  
pp. 653-664
Author(s):  
Keivan Borna ◽  
Abolfazl Mohajer
Keyword(s):  
Binomial Ideals

scholarly journals Cellular Binomial Ideals. Primary Decomposition of Binomial Ideals

2000 ◽  
Vol 30 (4) ◽  
pp. 383-400 ◽  
Author(s):  
Ignacio Ojeda MartÍnez de Castilla ◽  
Ramón Peidra Sánchez
Keyword(s):  
Primary Decomposition ◽  
Binomial Ideals

scholarly journals Irreducible decomposition of binomial ideals

2016 ◽  
Vol 152 (6) ◽  
pp. 1319-1332 ◽  
Author(s):  
Thomas Kahle ◽  
Ezra Miller ◽  
Christopher O’Neill
Keyword(s):  
Number Theory ◽  
Duke Math ◽  
Commutative Monoid ◽  
Commutative Monoids ◽  
Irreducible Decomposition ◽  
Binomial Ideal ◽  
Binomial Ideals ◽  
Mesoprimary Decomposition

Building on coprincipal mesoprimary decomposition [Kahle and Miller, Decompositions of commutative monoid congruences and binomial ideals, Algebra and Number Theory 8 (2014), 1297–1364], we combinatorially construct an irreducible decomposition of any given binomial ideal. In a parallel manner, for congruences in commutative monoids we construct decompositions that are direct combinatorial analogues of binomial irreducible decompositions, and for binomial ideals we construct decompositions into ideals that are as irreducible as possible while remaining binomial. We provide an example of a binomial ideal that is not an intersection of irreducible binomial ideals, thus answering a question of Eisenbud and Sturmfels [Binomial ideals, Duke Math. J. 84 (1996), 1–45].

Binomial ideals

1996 ◽  
Vol 84 (1) ◽  
pp. 1-45 ◽  
Author(s):  
David Eisenbud ◽  
Bernd Sturmfels
Keyword(s):  
Binomial Ideals
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