Ring theory MOC

Graded ring

Let be a monoid. A ring is said to be -graded if its additive group is the direct sum of abelian groups indexed by such that for any . ring Typically or , but in principle any monoid can be used.

Examples

• Tensor algebra

Category of graded rings

See Category of graded rings.

See also

• Graded structure

---

tidy | en | sembr