- 期刊
CONTROL SUBGROUPS AND BIRATIONAL EXTENSIONS OF GRADED RINGS
摘要
In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R =⊕_(σ∈G) R_σ is a strongly G-graded ring and HꆸG, then the embedding i : R^(H) → R, where R^(H) = ⊕_(σ∈H) R_σ , is a Zariski extension if and only if H controls the filter t(R −P) for every prime ideal P in an open set of the Zariski topology on R. This enables us to relate certain ideals of R and R^(H) up to radical.
延伸閱讀
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