次じ数すう付つき

noun which may take the genitive case particle 'no'

graded

Mathematical term used to describe algebraic structures (rings, modules, algebras) that are decomposed into a direct sum of pieces indexed by integers, often with a compatibility condition on multiplication. Common in phrases like 次数付き環 (graded ring) or 次数付き加群 (graded module).

• 多た項こう式しき環かんは次じ数すう付つき環かんの典てん型けい的てきな例れいである。

  The polynomial ring is a typical example of a graded ring.

• この定てい理りは次じ数すう付つき加か群ぐんに対たいして成なり立たつ。

  This theorem holds for graded modules.