splitting field
minimal field in which every polynomial in a given set decomposes into linear factors
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splitting field
Summary
splitting field ranks in the top 2% of general entities by monthly Wikipedia readership (63 views/month).[1]
Key Facts
- splitting field's subclass of is recorded as field[2].
- splitting field's Freebase ID is recorded as /m/017kdl[3].
- splitting field's defining formula is recorded as p(X) = \prod_{i=1}^{\deg(p)} (X - a_i) \text{ where for each i we have } (X - a_i) \in L[X][4].
- splitting field's MathWorld ID is recorded as SplittingField[5].
- splitting field's nLab ID is recorded as splitting field[6].
- splitting field's maintained by WikiProject is recorded as WikiProject Mathematics[7].
- splitting field's Microsoft Academic ID is recorded as 32859985[8].
- splitting field's Encyclopedia of Mathematics article ID is recorded as Splitting_field_of_a_polynomial[9].
- splitting field's Group Properties article ID is recorded as Splitting_Field[10].
- splitting field's Treccani's Enciclopedia della Matematica ID is recorded as campo-di-spezzamento[11].
- splitting field's Metamath statement ID is recorded as df-sfl[12].
Why It Matters
splitting field ranks in the top 2% of general entities by monthly Wikipedia readership (63 views/month).[1] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[13] It is known by 10 alternative names across languages and contexts.[14]