On generalized graded rings

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초록

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.

키워드

Generalized graded ring; homogeneous ideal; quasi-homogeneous ideal; homogeneous prime ideal; maximal homogeneous ideal; homogeneous overring; homogeneous module; POWER-SERIES
제목
On generalized graded rings
저자
Kim, Dong Kyu; Lim, Jung Wook
DOI
10.1142/S0219498826500167
발행일
2024-10-14
유형
Article; Early Access
저널명
Journal of Algebra and its Applications
권
25
호
5