Control subgroups and birational extensions of graded rings
1999 ◽
Vol 22
(2)
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pp. 411-415
In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that ifR=⊕σ∈GRσis a stronglyG-graded ring andH⊲G, then the embeddingi:R(H)↪R, whereR(H)=⊕σ∈HRσ, is a Zariski extension if and only ifHcontrols the filterℒ(R−P)for every prime idealPin an open set of the Zariski topology onR. This enables us to relate certain ideals ofRandR(H)up to radical.
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2008 ◽
Vol 51
(3)
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pp. 460-466
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2019 ◽
Vol 19
(09)
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pp. 2050165
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1988 ◽
Vol 45
(3)
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pp. 372-380
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1995 ◽
Vol 52
(2)
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pp. 189-194
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2018 ◽
Vol 17
(06)
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pp. 1850116
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