On Weak Symmetric Rings

DOI10.1080/00927870902828702zbMath1197.16033OpenAlexW2033535372MaRDI QIDQ5306000

Lunqun Ouyang, Huanyin Chen

Publication date: 24 March 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902828702

zbMATH Keywords

endomorphismsnilpotent elementsderivationsOre extensionssemicommutative ringsupper triangular matrix ringsreversible ringsrigid ringscompatible ringsweak symmetric rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80)

Related Items (18)

On rings with weak property (A) and their extensions ⋮ Nilpotent elements of skew Hurwitz series rings ⋮ On Weak Annihilator Ideals of Skew Monoid Rings ⋮ McCoy property and nilpotent elements of skew generalized power series rings ⋮ Unnamed Item ⋮ Weak e–symmetric rings ⋮ Study of skew inverse Laurent series rings ⋮ Symmetricity of rings relative to the prime radical ⋮ \(\Sigma\)-semicommutative rings and their skew PBW extensions ⋮ e-Symmetric rings ⋮ Weakly local commutativity for rings with unity ⋮ Some properties of e -symmetric rings ⋮ An equivalent condition and some properties of strong \(J\)-symmetric ring ⋮ Unnamed Item ⋮ A perspective on amalgamated rings via symmetricity ⋮ Unnamed Item ⋮ ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS ⋮ On Sums of Coefficients of Products of Polynomials

Cites Work

• Extensions of reversible rings.
• Ore extensions of Baer and p.p.-rings.
• Polynomial extensions of quasi-Baer rings.
• Semi-commutativity and the McCoy condition.
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• Primeness, semiprimeness and prime radical of ore extensions
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• ON (α, δ)-SKEW ARMENDARIZ RINGS
• On Skew Armendariz Rings
• On Weak Armendariz Rings
• On the Representation of Modules by Sheaves of Factor Modules

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