Compatible ideals and radicals of Ore extensions.

zbMath1106.16029MaRDI QIDQ851559

N. E. Zubov

Publication date: 21 November 2006

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126933

zbMATH Keywords

endomorphismsderivationsprime radicalsOre extensionsminimal prime idealscompletely prime idealsstrongly prime ringsskew power seriesalpha-compatible idealsalpha-compatible ringsalpha-rigid ringsupper nil radicals

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Derivations, actions of Lie algebras (16W25) Ideals in associative algebras (16D25) General radicals and associative rings (16N80)

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Unnamed Item ⋮ An alternative perspective on skew generalized power series rings ⋮ Unnamed Item ⋮ Nearring of ore extensions: Zero-divisors and regular elements ⋮ Some types of ring elements in Ore extensions over noncommutative rings ⋮ On clean and regular elements of near-ring of skew polynomials ⋮ On extensions of Baer and quasi-Baer modules ⋮ On skew polynomials over Ikeda-Nakayama rings ⋮ Weak (\(\alpha ,\delta\))-skew Armendariz ideals ⋮ Directed zero-divisor graph and skew power series rings ⋮ Prime ideals and strongly prime ideals of skew Laurent polynomial rings. ⋮ A fresh look into skew inverse Laurent series rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On clean and regular elements of noncommutative ring extensions ⋮ Minimal prime ideals of skew PBW extensions over 2-primal compatible rings ⋮ On annihilator ideals in skew power series rings

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