irreducible element
non-zero non-unit element in an integral domain that is not a product of two non-units
Press Enter · cited answer in seconds
0 sources
irreducible element
Summary
irreducible element ranks in the top 2% of general entities by monthly Wikipedia readership (74 views/month).[1]
Key Facts
- irreducible element's subclass of is recorded as element[2].
- irreducible element's subclass of is recorded as non-unit[3].
- irreducible element's part of is recorded as primality in a ring[4].
- irreducible element's Freebase ID is recorded as /m/05pdbdz[5].
- irreducible element's different from is recorded as prime element[6].
- irreducible element's defining formula is recorded as \operatorname{irreducible}(x) \iff (x \ne 0) \land (\nexists x^{-1}) \land \left(\forall a,b \colon ab = x \implies (\exists a^{-1}) \lor (\exists b^{-1})\right)[7].
- irreducible element's MathWorld ID is recorded as IrreducibleElement[8].
- irreducible element's nLab ID is recorded as irreducible element[9].
- irreducible element's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- irreducible element's Microsoft Academic ID is recorded as 15376144[11].
- irreducible element's OpenAlex ID is recorded as C15376144[12].
- irreducible element's Metamath statement ID is recorded as df-irred[13].
Why It Matters
irreducible element ranks in the top 2% of general entities by monthly Wikipedia readership (74 views/month).[1] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[14] It is known by 7 alternative names across languages and contexts.[15]