Questions on 2-primal rings

DOI10.1080/00927879808826150zbMath0901.16009OpenAlexW2061987589MaRDI QIDQ4382451

Yang Lee, Chan Huh, Hong Kee Kim

Publication date: 6 July 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826150

zbMATH Keywords

nilpotent elementsdirect productsformal power series ringsprime radical2-primal rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (26)

Special Properties of Rings of Generalized Power Series ⋮ Generalized derivations of left faithful rings ⋮ Skew polynomial rings over 2-primal rings ⋮ Rings Whose Nilpotent Elements form a Levitzki Radical Ring ⋮ Nilpotent elements of skew Hurwitz series rings ⋮ Annelidan rings ⋮ Unnamed Item ⋮ Structure and topological conditions of NI rings. ⋮ Study of skew inverse Laurent series rings ⋮ Nilpotent elements and nil-Armendariz property of skew generalized power series rings ⋮ Some characterizations of 2-primal skew generalized power series rings ⋮ A taxonomy of 2-primal rings. ⋮ Unnamed Item ⋮ Rings whose nilpotents form a multiplicative set ⋮ A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS ⋮ ON 2-PRIMAL ORE EXTENSIONS ⋮ Strongly unit nil-clean rings ⋮ A note on nil power serieswise Armendariz rings. ⋮ Unnamed Item ⋮ An Ascending Chain Condition on Wedderburn Radicals ⋮ A characterization of 2-primal and NI rings over skew inverse Laurent series rings ⋮ ON NI AND QUASI-NI RINGS ⋮ ON SEMI-IFP RINGS ⋮ Power Series Rings Satisfying a Zero Divisor Property ⋮ Special Properties of Rings of Skew Generalized Power Series ⋮ On rings whose prime ideals are completely prime

Cites Work

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• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Nil ideals in rings with finite Krull dimension
• On rings whose prime radical contains all nilpotent elements of index two
• Isomorphic ore extensions
• Nil Subrings of Goldie Rings are Nilpotent

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