Abstract
In this paper, we define the concept of generalized graded rings and investigate to study some properties. The class of generalized graded rings contains those of graded rings and power series rings. To study generalized graded rings, we define three kinds of homogeneous type ideals and study some properties.
| Original language | English |
|---|---|
| Article number | 2650016 |
| Journal | Journal of Algebra and its Applications |
| DOIs | |
| State | Accepted/In press - 2024 |
Keywords
- Generalized graded ring
- homogeneous ideal
- homogeneous module
- homogeneous overring
- homogeneous prime ideal
- maximal homogeneous ideal
- quasi-homogeneous ideal