scientific article; zbMATH DE number 2156376
From MaRDI portal
Publication:4668865
zbMath1080.16007MaRDI QIDQ4668865
Publication date: 15 April 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exchange rings\(\pi\)-regular ringsregular ringssemiperfect ringssemiregular ringsweakly regular ringssemiregular modules
Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)
Cites Work
- Representation of rings by sections
- On algebraic rings
- Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal
- On One Sided Ideals of a Prime Type
- Anneaux semi-artiniens
- Regular Modules
- Weakly Regular Rings
- Regular P.I.-Rings
- Central Localizations of Regular Rings
- Topological Representation of Algebras
- Topological Representation of Algebras. II
- On the Structure of Algebraic Algebras and Related Rings
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity conditions and the simplicity of prime factor rings
- On biregular rings and their duality
- Cancellation of finitely generated modules over regular rings
- F-semi-perfect modules
- A generalization of strongly regular rings
- Ultraproducts of PM-rings and MP-rings
- Azumaya rings with locally perfect centers
- Stable range one for rings with many units
- Zariski extensions and biregular rings
- On pi-regular rings whose primitive factor rings are Artinian
- F-semiperfekte und perfekte Moduln in sigma[M]
- Spectral Banach algebras of bounded index
- On the von Neumann regularity of rings with regular prime factor rings
- On absolutely torsion-free rings
- Algebras over zero-dimensional rings
- On two analogues of Cohen's theorem
- Algebraically compact rings and modules
- Homogenization of regular rings of bounded index
- Maximal submodules and locally perfect rings
- The power substitution property for rings of continuous functions
- A survey of regularity conditions and the simplicity of prime factor rings
- Cancellation of projective modules over regular rings with comparability
- Distributive semiprime rings
- On generalized regular rings
- The representation of biregular rings by sheaves
- On a representation of a strongly harmonic ring by sheaves
- Exchange rings and decompositions of modules
- Azumaya rings, pierce stalks and central ideal algebras
- Products of Azumaya rings and Kochen's map
- On the structure of exchange rings
- Bass rings and perfect rings
- Commutative rings with periodic multiplicative semigroup
- On cerrain classes of pe-rings
- Spectral spacess and non-commutative rings
- Power cancellation for artinian modules
- Sur quelques classes d'anneaux non commutatifs
- Surjective endomorphisms of finitely generated modules
- On strongly πregular rings and homomorphisms into them
- Rings all of whose one-sided ideals are generated by idempotents
- Strongly 𝜋-regular rings have stable range one
- Locally Finite-Dimensional Algebras
- On pm-rings
- On self-injective strongly π-regular rings
- Three questions on strongly п-regular rings and regular rings*
- I-Rings
- Endomorphism representations of Zorn rings and subclasses of rings with enough idempotents.
- Semiregular Modules and Rings
- Pierce sheaves of non-commutative rings
- Local-global results for regular rings
- Lifting Idempotents and Exchange Rings
- An analogue of the pierce sheaf for non-commutative rings
- On injective and surjective endomorphisms of finitely generated modules
- Rings all of Whose Pierce Stalks are Local
- Algebraic closures for some non—commutative rings
- Some conditions for nil ideals and π-regular ideals
- On semicommutative II-regular rings
- On rings whose artinian modules are precisely noetherian modules
- Weakly regular rings
- Exchange rings, units and idempotents
- Fully prime rings
- A Connection Between Weak Regularity and the Simplicity of Prime Factor Rings
- Properly semiprime self-pp-modules
- Semiregular modules and f-semiperfect modules
- On abelian π-regular rings
- On exchange rings
- Rings with restricted descending chain conditions
- On a Theorem of Flanders
- Fully Idempotent Rings Have Regular Centroids
- Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
- On strongly pi-regular rings of stable range one
- The Power Substitution for Rings of Complex and Real Functions on Compact Metric Spaces
- Stable Range One for Rings with many Idempotents
- Fully prime rings. II
- On finite extensions of hereditary regular rings
- Elementary Factorization in π-Regular Rings
- Modules over commutative regular rings