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Locally compact topologically nil and monocompact PI-rings - MaRDI portal

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Locally compact topologically nil and monocompact PI-rings (Q1591754)

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scientific article; zbMATH DE number 1549909
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English
Locally compact topologically nil and monocompact PI-rings
scientific article; zbMATH DE number 1549909

    Statements

    Locally compact topologically nil and monocompact PI-rings (English)
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    9 January 2001
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    The following results are proved in the article: A locally compact compactly generated monocompact PI-ring is compact; A locally compact compactly generated topologically nil PI-ring is projectively nilpotent; There is no non-discrete locally compact simple nil ring equipped with a minimal ring topology; There is no non-discrete locally compact simple nil ring with nonzero characteristic and with self dual additive group.
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    locally compact PI-rings
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    locally compact simple nil rings
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