projective module

Summary

projective module ranks in the top 2% of general entities by monthly Wikipedia readership (109 views/month).^[1]

Key Facts

• projective module's GND ID is recorded as 4175892-4^[2].
• projective module's Library of Congress authority ID is recorded as sh85107381^[3].
• projective module's subclass of is recorded as flat module^[4].
• projective module's subclass of is recorded as projective object^[5].
• projective module's opposite of is recorded as injective module^[6].
• projective module's Freebase ID is recorded as /m/01_ty9^[7].
• projective module's Stack Exchange tag is recorded as https://mathoverflow.net/tags/projective-modules^[8].
• projective module's defining formula is recorded as P\in\operatorname{ProjMod}_R\iff\exists Q\in\operatorname{Mod}_R\exists\kappa\in\operatorname{Card}\colon P\oplus Q\cong R^{\oplus\kappa}^[9].
• projective module's studied by is recorded as module theory^[10].
• projective module's MathWorld ID is recorded as ProjectiveModule^[11].
• projective module's nLab ID is recorded as projective module^[12].
• projective module's schematic is recorded as Projective module.png^[13].
• projective module's maintained by WikiProject is recorded as WikiProject Mathematics^[14].
• projective module's Microsoft Academic ID is recorded as 32268108^[15].
• projective module's ProofWiki ID is recorded as Definition:Projective_Module^[16].
• projective module's in defining formula is recorded as R^[17].
• projective module's in defining formula is recorded as P^[18].
• projective module's in defining formula is recorded as Q^[19].
• projective module's in defining formula is recorded as \kappa^[20].
• projective module's in defining formula is recorded as R^{\oplus\kappa}^[21].
• projective module's in defining formula is recorded as \oplus^[22].
• projective module's in defining formula is recorded as \iff^[23].
• projective module's in defining formula is recorded as \cong^[24].
• projective module's Encyclopedia of Mathematics article ID is recorded as Projective_module^[25].
• projective module's PlanetMath ID is recorded as ProjectiveModule^[26].

Why It Matters

projective module ranks in the top 2% of general entities by monthly Wikipedia readership (109 views/month).^[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.^[27]