Hulls of semiprime rings with applications to \(C^*\)-algebras.

DOI10.1016/j.jalgebra.2009.03.036zbMath1195.16005OpenAlexW2032649147MaRDI QIDQ731217

Gary F. Birkenmeier, S. Tariq Rizvi, Jae Keol Park

Publication date: 2 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.036

zbMATH Keywords

involutionssemiprime rings\(C^*\)-algebrasquasi-Baer ringsinjective hullsextended centroidsrings of quotientsessential overringsFI-extending ringslocal multiplier algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) General theory of (C^*)-algebras (46L05) Associative rings of fractions and localizations (16S85) Centralizing and normalizing extensions (16S20)

Related Items

Idempotents and structures of rings ⋮ Generalized quasi-Baer *-rings and Banach *-algebras ⋮ Generalized Baer \(\ast \)-rings ⋮ On Some Classes of Module Hulls ⋮ Unnamed Item ⋮ THE FACTOR RING OF A QUASI-BAER RING BY ITS PRIME RADICAL ⋮ Quasi-Baer module hulls and their examples ⋮ Quasi-Baer module hulls and applications ⋮ $\pi$-BAER $\ast$-RINGS ⋮ Annihilators and extensions of idempotent-generated ideals ⋮ A survey of intrinsic extensions of rings ⋮ Module hulls—similarities and contrasts ⋮ Baer module hulls of certain modules over a Dedekind domain ⋮ Module Decompositions Using Pairwise Comaximal Ideals ⋮ Ideal intrinsic extensions with connections to PI-rings. ⋮ Principally quasi-Baer modules and their generalizations ⋮ The structure of rings of quotients. ⋮ Extending Sets of Idempotents to Ring Extensions ⋮ When is a Sum of Annihilator Ideals an Annihilator Ideal? ⋮ Rings which are Baer or quasi-Baer modulo a radical

Cites Work

• 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
• Ring hulls and applications.
• Injective hulls with distinct ring structures.
• The structure of rings of quotients.
• On finitely pseudo-Frobenius rings
• On the von Neumann regularity of rings with regular prime factor rings
• Automorphisms determined by multipliers on ideals of a \(C^*\)-algebra
• Approximating derivations on ideals of \(C^*\)-algebras
• Injective envelopes of \(C^*\)-algebras
• Triangular matrix representations of ring extensions.
• Generalized triangular matrix rings and the fully invariant extending property.
• Triangular matrix representations
• On rings whose cyclic faithful modules are generators
• Non-self-injective injective hulls with compatible multiplication.
• Twisted matrix units semigroup algebras
• Regular rings and Baer rings
• On Baer and quasi-Baer rings
• The regular ring of a finite Baer\(^*\)-ring
• CLOSED SUBMODULES OF NORMALIZING BIMODULES OVER SEMIPRIME RINGS
• Hulls of Ring Extensions
• On Semiprime P.I. Rings
• Simple noetherian rings not isomorphic to matrix rings over domains
• A generalization of FPF rings
• Endomorphism Rings of Modules over non-singular CS Rings
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• Quotient rings of semiprime rings with bounded index
• Liberal Extensions
• Regular Self-Injective Rings With a Polynomial Identity
• On Ring Properties of Injective Hulls
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• AN APPLICATION OF LOCAL MULTIPLIERS TO CENTRALIZING MAPPINGS OF C^*-ALGEBRAS
• On the central Haagerup tensor product
• Properly semiprime self-pp-modules
• TRIANGULAR MATRIX REPRESENTATIONS OF SEMIPRIMARY RINGS
• Self-adjoint ideals in baer *-rings
• Finitely ?-CS Property of Excellent Extensions of Rings
• Quasi-Baer ring extensions and biregrular rings
• On Ring Properties of Injective Hulls¹⁾
• Kurosh Radicals of Rings with Operators
• Baer and quasi-Baer properties of group rings
• Composition of binary quadratic forms
• Some results on the center of a ring with polynomial identity
• \(C^*\)-algebras by example
• Intrinsic extensions of rings
• Polynomial extensions of Baer and quasi-Baer rings

This page was built for publication: Hulls of semiprime rings with applications to \(C^*\)-algebras.