국가지식-학술정보
THE HOMOGENEOUS SPECTRUM OF A GRADED COMMUTATIVE RING BY TORSION GROUP
THE HOMOGENEOUS SPECTRUM OF A GRADED COMMUTATIVE RING BY TORSION GROUP
- 대한수학회
- Bulletin of the Korean Mathematical Society
- Vol.62No.1
-
2025.0115 - 25 (11 pages)
- 3
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Let G be a torsion abelian group and let R be a G-graded commutative ring. In this paper, we identify the homogeneous prime ideals of R in terms of prime ideals of R<sub>e</sub>. Precisely, we show that the map P ↦ P ∩ R<sub>e</sub> is a homeomorphism between the homogeneous prime spectrum of R and the prime spectrum of R<sub>e</sub> with respect to Zariski topology.
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