An extension of the Jacobson density theorem

DOI10.1090/S0002-9904-1976-14093-1zbMath0329.16006OpenAlexW2033404593MaRDI QIDQ4095005

Julius M. Zelmanowitz

Publication date: 1976

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1976-14093-1

zbMATH Keywords

prime Goldie ringsJacobson density theoremdense rings of linear transformationsweakly primitive ringfaithful critical compressible modulesgeneralization of Faith-Utumi theoremrepresentation theoretic characterization

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) 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)

Related Items (9)

Semismall compressible and semismall retractable modules ⋮ ESSENTIALLY SLIGHTLY COMPRESSIBLE MODULES AND RINGS ⋮ Quasi-coretractable 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 ⋮ Localization of modules and the central closure of rings ⋮ Weakly primitive rings

Cites Work

• Rings of quotients and Morita contexts
• Semi-Prime Rings with Maximum Condition
• The Finite Intersection Property on Annihilator Right Ideals
• A Class of Prime Rings
• On Noetherian Prime Rings

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