Graded module: Difference between revisions

Latest revision as of 16:22, 12 May 2008

Definition

Let $A$ be a graded ring with the $i^{th}$ graded component denoted by $A_{i}$ . An $A$ -graded module is a graded Abelian group $M$ that is also an $A$ -module, satisfying the following additional condition:

$A_{i}M_{j}\subset M_{i+j}$

Revision as of 21:22, 8 February 2008 (view source) Vipul (talk \| contribs) (New page: ==Definition== Let <math>A</math> be a graded ring with the <math>i^{th}</math> graded component denoted by <math>A_i</math>. An <math>A</math>-'''graded module''' is a [[graded Abeli...)	Latest revision as of 16:22, 12 May 2008 (view source) Vipul (talk \| contribs) m (1 revision)
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