Reflexive rings and their extensions

DOI10.2478/s12175-013-0106-5zbMath1343.16006OpenAlexW2022486391MaRDI QIDQ2843880

Liang Zhao, Qinqin Gu, Xiaosheng Zhu

Publication date: 26 August 2013

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-013-0106-5

zbMATH Keywords

polynomial ringsmatrix ringsring extensionssemicommutative ringsreflexive idealscompletely reflexive ringsgeneralized reflexive ringsweakly reflexive rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Other classes of modules and ideals in associative algebras (16D80) Associative rings of fractions and localizations (16S85)

Related Items

Minimal reflexive nonsemicommutative rings, Some properties of quasi-Armendariz rings and their generalizations, On \(\mathcal{Z}\)-reversible rings, \(\Sigma\)-semicommutative rings and their skew PBW extensions, On Z-symmetric rings, Reflexive property on rings with involution, Reflexivity of rings via nilpotent elements

Cites Work

• Reflexive ideals
• Bijective Extensions of Injective Ring Endomorphisms
• Reversible Rings
• On the Representation of Modules by Sheaves of Factor Modules