lattice ideals
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Lattice Ideals, Semigroups and Toric Codes

Numerical Semigroups - Springer INdAM Series ◽

10.1007/978-3-030-40822-0_16 ◽

2020 ◽

pp. 285-302

Author(s):

Mesut Şahin

Keyword(s):

Lattice Ideals ◽

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Counterexamples for Cohen–Macaulayness of lattice ideals

Communications in Algebra ◽

10.1080/00927872.2018.1521420 ◽

2019 ◽

Vol 47 (6) ◽

pp. 2494-2502 ◽

Author(s):

Laura Felicia Matusevich ◽

Aleksandra Sobieska

Keyword(s):

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Toric codes and lattice ideals

Finite Fields and Their Applications ◽

10.1016/j.ffa.2018.04.007 ◽

2018 ◽

Vol 52 ◽

pp. 243-260 ◽

Author(s):

Mesut Şahin

Keyword(s):

Lattice Ideals ◽

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Minimal free resolutions of lattice ideals of digraphs

10.5802/alco.15 ◽

2018 ◽

Vol 1 (2) ◽

pp. 283-326

Author(s):

Liam O’Carroll ◽

Francesc Planas-Vilanova

Keyword(s):

Free Resolutions ◽

Lattice Ideals ◽

Minimal Free Resolutions

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Border bases for lattice ideals

Journal of Symbolic Computation ◽

10.1016/j.jsc.2016.08.005 ◽

2017 ◽

Vol 79 ◽

pp. 43-56

Author(s):

Giandomenico Boffi ◽

Alessandro Logar

Keyword(s):

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Minimal generating sets of lattice ideals

Collectanea mathematica ◽

10.1007/s13348-017-0191-9 ◽

2017 ◽

Vol 68 (3) ◽

pp. 377-400 ◽

Author(s):

Hara Charalambous ◽

Apostolos Thoma ◽

Marius Vladoiu

Keyword(s):

Generating Sets ◽

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Corrigendum to “Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals” [J. Symb. Comput. 50 (March 2013) 314–334]

Journal of Symbolic Computation ◽

10.1016/j.jsc.2015.09.002 ◽

2016 ◽

Vol 74 ◽

pp. 650-652

Author(s):

Christopher J. Hillar ◽

Abraham Martín del Campo

Keyword(s):

Lattice Ideals ◽

Finiteness Theorems

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Explicit deformation of lattice ideals via chip-firing games on directed graphs

Journal of Algebraic Combinatorics ◽

10.1007/s10801-015-0618-x ◽

2015 ◽

Vol 42 (4) ◽

pp. 1097-1110

Author(s):

Spencer Backman ◽

Madhusudan Manjunath

Keyword(s):

Directed Graphs ◽

Lattice Ideals ◽

Chip Firing ◽

Explicit Deformation

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Regularity and algebraic properties of certain lattice ideals

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-014-0075-5 ◽

2014 ◽

Vol 45 (4) ◽

pp. 777-806 ◽

Author(s):

Jorge Neves ◽

Maria Vaz Pinto ◽

Rafael H. Villarreal

Keyword(s):

Lattice Ideals ◽

Algebraic Properties

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COMPLETE INTERSECTIONS IN BINOMIAL AND LATTICE IDEALS

International Journal of Algebra and Computation ◽

10.1142/s0218196713500288 ◽

2013 ◽

Vol 23 (06) ◽

pp. 1419-1429 ◽

Author(s):

HIRAM H. LÓPEZ ◽

RAFAEL H. VILLARREAL

Keyword(s):

Complete Intersection ◽

Characteristic Zero ◽

Positive Characteristic ◽

Complete Intersections ◽

Lattice Ideals ◽

Lattice Ideal ◽

Arbitrary Lattice ◽

Intersection Criterion ◽

For the family of graded lattice ideals of dimension 1, we establish a complete intersection criterion in algebraic and geometric terms. In positive characteristic, it is shown that all ideals of this family are binomial set-theoretic complete intersections. In characteristic zero, we show that an arbitrary lattice ideal which is a binomial set-theoretic complete intersection is a complete intersection.

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