Regularity conditions and the simplicity of prime factor rings
From MaRDI portal
Publication:675134
DOI10.1016/S0022-4049(96)00011-4zbMath0870.16006MaRDI QIDQ675134
Jin Yong Kim, Gary F. Birkenmeier, Jae Keol Park
Publication date: 24 April 1997
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
prime idealsprimitive idealsvon Neumann regular ringsright duo ringsgeneralizations of von Neumann regularity
Prime and semiprime associative rings (16N60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
Related Items
On rings in which every maximal one-sided ideal contains a maximal ideal, Unnamed Item, Annelidan rings, Unnamed Item, Structure and topological conditions of NI rings., Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings., NEC rings, On rings whose Jacobson radical coincides with upper nilradical, A note on weak regularity in general rings., On semiabelian \(\pi\)-regular rings., On the structures of Abelian \(\pi\)-regular rings., Examples of strongly \(\pi\)-regular rings., Unnamed Item, Classification of nonsemicommutative rings, ON 2-PRIMAL ORE EXTENSIONS, Homomorphisms close to regular and their applications., A characterization of minimal prime ideals, Extensions of Generalized Reduced Rings, Rigid Ideals and Radicals of Ore Extensions, Classical Quotient Rings and Ordinary Extensions of 2-Primal Rings, On a ring property related to nilradicals, On rings whose prime ideals are completely prime, On simple singular gp - injective modules, On minimal strongly prime ideals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On biregular rings and their duality
- A generalization of strongly regular rings
- On rings whose projective modules have the exchange property
- Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
- On the von Neumann regularity of rings with regular prime factor rings
- On two analogues of Cohen's theorem
- A survey of regularity conditions and the simplicity of prime factor rings
- Epimorphismen von kommutativen Ringen
- Commutative rings with restricted minimum condition
- Spectral spacess and non-commutative rings
- Weakly regular rings
- A Connection Between Weak Regularity and the Simplicity of Prime Factor Rings
- On quasi-duo rings
- Properly semiprime self-pp-modules
- Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
- Weakly Regular Rings
- Radical Ideals