平へい坦たん加か群ぐん

Similar words

• 射しゃ影えい加か群ぐん

  Projective modules are a stronger notion: every projective module is flat, but not conversely. Flatness is a generalization that captures torsion-free-like behavior over commutative rings.

• 忠ちゅう実じつ平へい坦たん

  Faithfully flat modules are flat modules that also reflect exactness; they are used in descent theory.

Etymology

Compound of 平坦 (flat, level) and 加群 (module). The term is a direct calque of the English 'flat module', where 'flat' refers to the geometric intuition of a module being 'spread out' without torsion.