Weakly primitive rings

DOI10.1080/00927878108822561zbMath0469.16004OpenAlexW2058352353MaRDI QIDQ3922809

Julius M. Zelmanowitz

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822561

zbMATH Keywords

density theoremweak densityright ordercritically compressible modulesalmost maximal right idealJacobson density conditionsubrings of full linear ringsweakly primitive ringweakly transitive ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Other classes of modules and ideals in associative algebras (16D80) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Division rings and semisimple Artin rings (16Kxx)

Related Items (14)

Essentially compressible modules and rings. ⋮ ESSENTIALLY SLIGHTLY COMPRESSIBLE MODULES AND RINGS ⋮ Virtually semisimple modules and a generalization of the Wedderburn-Artin theorem ⋮ Rings possessing faithful nonsingular modules ⋮ The Structure of Rings with Faithful Nonsingular Modules ⋮ Quasi-coretractable modules ⋮ Large rings of matrices contain full rows ⋮ Submodules of Direct Sums of Compressible Modules ⋮ IRREDUCIBLE ACTIONS AND COMPRESSIBLE MODULES ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Extended Jacobson density theorem for rings with derivations and automorphisms ⋮ Orders in regular rings with minimal condition for principal right ideals ⋮ Weakly semisimple modulesand density theory ⋮ A characterization of modules embedding in products of primes and enveloping condition for their class

Cites Work

• Lectures on injective modules and quotient rings
• Rings of quotients and Morita contexts
• Quasi-Injective Modules and Irreducible Rings
• An extension of the Jacobson density theorem
• A Class of Prime Rings

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