CHARACTERIZATIONS OF ELEMENTS IN PRIME RADICALS OF SKEW POLYNOMIAL RINGS AND SKEW LAURENT POLYNOMIAL RINGS

DOI10.4134/BKMS.2011.48.2.277zbMath1218.16006OpenAlexW2095252378MaRDI QIDQ3169233

Chang Ik Lee, Yun Ho Shin, Jeoung Soo Cheon, Eun Jeong Kim

Publication date: 28 April 2011

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=402834

zbMATH Keywords

skew polynomial ringsprime idealsinvariant idealsprime radicalsskew Laurent polynomial ringsstrongly nilpotent elements

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) General radicals and associative rings (16N80)

Related Items (4)

On \(\sigma\)-nil ideals of bounded index of \(\sigma\)-nilpotence. ⋮ Radicals in skew polynomial and skew Laurent polynomial rings. ⋮ Descriptions of radicals of skew polynomial and skew Laurent polynomial rings ⋮ Radicals of skew polynomial rings and skew Laurent polynomial rings.

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