An Ascending Chain Condition on Wedderburn Radicals

DOI10.1080/00927870500345901zbMath1092.16013OpenAlexW2126177352MaRDI QIDQ5201388

Yang Lee, Sung Ju Ryu, Nam Kyun Kim

Publication date: 19 April 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500345901

zbMATH Keywords

nilpotent elementsnil idealsnil radicalsnilpotent idealsreduced ringsWedderburn radicals

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (9)

Structure and topological conditions of NI rings. ⋮ On the condition that powers preserve noncentralness ⋮ \(\Sigma\)-semicommutative rings and their skew PBW extensions ⋮ On Rings Whose Strongly Prime Ideals Are Completely Prime ⋮ ON WEAK ZIP SKEW POLYNOMIAL RINGS ⋮ ON NI AND QUASI-NI RINGS ⋮ RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT ⋮ PROPERTIES OF K-RINGS AND RINGS SATISFYING SIMILAR CONDITIONS ⋮ Nilradicals of the unique product monoid rings

Cites Work

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• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• The nil radical of power series rings
• The sum of nil one-sided ideals of bounded index of a ring
• Armendariz rings and reduced rings
• Rings of bounded index
• Questions on 2-primal rings
• On minimal strongly prime ideals
• On the Representation of Modules by Sheaves of Factor Modules

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