Hilbert's basis theorem

Summary

Hilbert's basis theorem is a theorem^[1]. It draws 105 Wikipedia views per month (theorem category, ranking #192 of 1,306).^[2]

Key Facts

• Hilbert's basis theorem's instance of is recorded as theorem^[3].
• David Hilbert is named after Hilbert's basis theorem^[4].
• Hilbert's basis theorem's part of is recorded as list of theorems^[5].
• Hilbert's basis theorem's Freebase ID is recorded as /m/03ks0^[6].
• Hilbert's basis theorem's defining formula is recorded as A \text{ noetherian} \Rightarrow A[X] \text{ noetherian}^[7].
• Hilbert's basis theorem's studied by is recorded as commutative algebra^[8].
• Hilbert's basis theorem's MathWorld ID is recorded as HilbertBasisTheorem^[9].
• Hilbert's basis theorem's nLab ID is recorded as Hilbert's basis theorem^[10].
• Hilbert's basis theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• Hilbert's basis theorem's Microsoft Academic ID is recorded as 151492637^[12].
• Hilbert's basis theorem's in defining formula is recorded as A^[13].
• Hilbert's basis theorem's in defining formula is recorded as A[X]^[14].
• Hilbert's basis theorem's in defining formula is recorded as \text{noetherian}^[15].
• Hilbert's basis theorem's Lex ID is recorded as Hilberts_basissætning^[16].
• Hilbert's basis theorem's Treccani's Enciclopedia della Matematica ID is recorded as teorema-della-base-di-hilbert^[17].
• Hilbert's basis theorem's OpenAlex ID is recorded as C151492637^[18].

Why It Matters

Hilbert's basis theorem draws 105 Wikipedia views per month (theorem category, ranking #192 of 1,306).^[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.^[19]