Üzerinde Sıfırlanan Polinomların İdealinin Açık Gröbner Tabanı

Yıl 2017, Cilt: 7 Sayı: 2, 349 - 351, 01.06.2017

Abdullah Çağman

Öz

Sıfırlanan polinomlar, katsayı halkası üzerinde tanımlanan polinom halkalarının bir idealini oluştururlar. Bu makalede m,l ≠1 olmak üzere Zidealinin açık minimal güçlü Gröbner tabanını vereceğiz. İspatımız tamamen kobinasyonel yönteme dayalı olacaktır

Anahtar Kelimeler

Gröbner tabanı, Polinom halkası, Sıfırlanan ideal, Sıfırlanan polinom

Explicit Gröbner Basis of the Ideal of Vanishing Polynomials over Z2×Z2

Öz

Vanishing polynomials form an ideal of polynomial ring over the coefficient ring. In this paper, we give some vanishing polynomials of the polynomial ring Zm×Zl[x1,x2,…,xn] where m,l ≠1 and an explicit minimal strong Gröbner basis of the ideal of vanishing polynomials of the ring Z2×Z2[x]. Our proof is based fully on a combinatorial way.

Anahtar Kelimeler

Vanishing polynomial, Polynomial ring, Vanishing Ideal, Gröbner Basis

Kaynakça

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