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Binomial vanishing ideals
Öz
In this note we characterize, in algebraic and geometric terms, when a graded vanishing ideal is generated by binomials over any field K.
Anahtar Kelimeler
Kaynakça
- D. Cox, J. Little and D. O’Shea, Ideals, varieties, and algorithms, Springer-Verlag, 1992.
- D. Eisenbud and B. Sturmfels, Binomial ideals, Duke Math. J., 84(1), 1-45, 1996.
- M. Gasca and T. Sauer, Polynomial interpolation in several variables, Adv. Comput. Math., 12(4), 377-410, 2000.
- M. González-Sarabia, C. Rentería and H. Tapia-Recillas, Reed-Muller-type codes over the Segre va- riety, Finite Fields Appl., 8(4), 511-518, 2002.
- J. Harris, Algebraic geometry: A first course, Graduate Texts in Mathematics 133, Springer-Verlag, New York, 1992.
- M. Hellus and R. Waldi, Interpolation in affine and projective space over a finite field, J. Commut. Algebra, to appear. N. Jacobson, Basic algebra I , Second Edition, W. H. Freeman and Company, New York, 1996.
- H. H. López, C. Rentería and R. H. Villarreal, Affine cartesian codes, Des. Codes Cryptogr., 71(1), 5-19, 2014.
- J. Neves, M. Vaz Pinto and R. H. Villarreal, Regularity and algebraic properties of certain lattice ideals, Bull. Braz. Math. Soc. (N.S.), 45(4), 777-806, 2014.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
-
Yayımlanma Tarihi
30 Nisan 2015
Gönderilme Tarihi
30 Nisan 2015
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2015 Cilt: 2 Sayı: 2
APA
Tochimani, A., & Villarreal, R. H. (2015). Binomial vanishing ideals. Journal of Algebra Combinatorics Discrete Structures and Applications, 2(2), 151-156. https://doi.org/10.13069/jacodesmath.12847
AMA
1.Tochimani A, Villarreal RH. Binomial vanishing ideals. Journal of Algebra Combinatorics Discrete Structures and Applications. 2015;2(2):151-156. doi:10.13069/jacodesmath.12847
Chicago
Tochimani, Azucena, ve Rafael H. Villarreal. 2015. “Binomial vanishing ideals”. Journal of Algebra Combinatorics Discrete Structures and Applications 2 (2): 151-56. https://doi.org/10.13069/jacodesmath.12847.
EndNote
Tochimani A, Villarreal RH (01 Nisan 2015) Binomial vanishing ideals. Journal of Algebra Combinatorics Discrete Structures and Applications 2 2 151–156.
IEEE
[1]A. Tochimani ve R. H. Villarreal, “Binomial vanishing ideals”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 2, sy 2, ss. 151–156, Nis. 2015, doi: 10.13069/jacodesmath.12847.
ISNAD
Tochimani, Azucena - Villarreal, Rafael H. “Binomial vanishing ideals”. Journal of Algebra Combinatorics Discrete Structures and Applications 2/2 (01 Nisan 2015): 151-156. https://doi.org/10.13069/jacodesmath.12847.
JAMA
1.Tochimani A, Villarreal RH. Binomial vanishing ideals. Journal of Algebra Combinatorics Discrete Structures and Applications. 2015;2:151–156.
MLA
Tochimani, Azucena, ve Rafael H. Villarreal. “Binomial vanishing ideals”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 2, sy 2, Nisan 2015, ss. 151-6, doi:10.13069/jacodesmath.12847.
Vancouver
1.Azucena Tochimani, Rafael H. Villarreal. Binomial vanishing ideals. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Nisan 2015;2(2):151-6. doi:10.13069/jacodesmath.12847
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