JP Journal of Algebra, Number Theory and Applications
Volume 25, Issue 2, Pages 133 - 144
(June 2012)
|
|
A CONSTRUCTION OF GRADED RINGS USING A SET OF LEFT COSETS REPRESENTATIVES
M. M. Al-Shomrani
|
Abstract: In this paper, we introduce a new concept named the weak graded rings and modules. We construct a graded ring R using a set of cosets representatives for the left action of a subgroup H on a group G. Important results related to graded rings are proved in the new setting. Moreover, some properties of these graded rings and their modules are derived. |
Keywords and phrases: weak graded rings, fully graded, graded modules. |
|
Number of Downloads: 419 | Number of Views: 1285 |
|