Rings with all modules residually finite

DOI10.1007/BF02837992zbMath0944.16020MaRDI QIDQ1961738

K. Varadarajan

Publication date: 18 September 2000

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Boolean ringsperfect ringsfinite ringsresidual finitenessstrongly regular ringssemiprimary ringsorthogonal idempotentsprimitive factorsRF rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (8)

Residually small commutative rings ⋮ Affine representability and decision procedures for commutativity theorems for rings and algebras ⋮ Separability conditions in acts over monoids ⋮ Residual smallness in commutative algebra ⋮ On residual finiteness of monoids, their Schützenberger groups and associated actions. ⋮ RRF rings which are not LRF ⋮ On the existence of maximal subrings in commutative noetherian rings ⋮ Note on residually finite rings

Cites Work

• Finiteness of the injective hull
• Hopfian and co-Hopfian objects
• Rings with Morita duality
• A generalization of quasi-Frobenius rings
• Self-Injective Rings
• On rings over which each module has a maximal submodule
• On quasi-duo rings
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