
handle: 10722/75156
The author investigates the relations between an identity polynomial \(p\in k[x_1, \dots, x_n]\), \(k\) a commutative field, and its zero set with respect to be an identity or determining set. In an analogous way he relates test polynomials and test sets. Furthermore conditions for being or not being an identity or test polynomial are derived.
Automorphisms of curves, identity sets, test polynomials, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), identity polynomial, Polynomials over commutative rings
Automorphisms of curves, identity sets, test polynomials, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), identity polynomial, Polynomials over commutative rings
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