1. Sur les dimensions des anneaux gradués
- Author
-
Ducos, Lionel
- Subjects
- *
GRADED rings , *KRULL rings , *COMMUTATIVE rings , *ITERATIVE methods (Mathematics) , *MONOIDS , *DIMENSIONAL analysis - Abstract
Abstract: In this paper, we investigate some basic classical results on the Krull dimension of -graded commutative rings by using the concept of iterated boundary ideals and iterated boundary monoids. After having pointed out the link between the Krull dimension (Kdim) and the boundary ideals and monoids, we characterize in the same way the graded dimension (dimgr). The main goal is to compare , and , where is a graded ring (noetherian or not). To do this, we establish various properties using the boundary ideals, in particular some typical boundary ideals inclusions. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF