On primitive ideals in graded rings

Agata Smoktunowicz

doi:10.4153/CMB-2008-046-1

On primitive ideals in graded rings

Agata Smoktunowicz

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A. It is shown that either I = {0} or I A. Moreover, A is either primitive or Jacobson radical.

Original language	English
Pages (from-to)	460-466
Number of pages	7
Journal	Canadian Mathematical Bulletin
Volume	51
Issue number	3
DOIs	https://doi.org/10.4153/CMB-2008-046-1
Publication status	Published - Sept 2008

Keywords / Materials (for Non-textual outputs)

ALGEBRAS

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10.4153/CMB-2008-046-1

On primitive ideals in polynomial rings over nil ringsSubmitted manuscript, 542 KB

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abstract = "Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A. It is shown that either I = {0} or I A. Moreover, A is either primitive or Jacobson radical.",

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AB - Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A. It is shown that either I = {0} or I A. Moreover, A is either primitive or Jacobson radical.

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DO - 10.4153/CMB-2008-046-1

M3 - Article

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JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

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ER -

On primitive ideals in graded rings

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