Rings over which each module possesses a maximal submodule

DOI10.1007/BF02355415zbMath0919.16004MaRDI QIDQ1274111

Askar A. Tuganbaev

Publication date: 8 September 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

regular elementscentersmaximal submodulesright perfect ringsright modulesorthogonal idempotentsprime quotient ringsright Bass ringsrings algebraic over center

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Conditions on elements (16U99) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (5)

Unnamed Item ⋮ Modules with Nakayama's property. ⋮ Unnamed Item ⋮ Two questions on rings whose modules have maximal submodules ⋮ When \(R\) is a testing module for projectivity?

Cites Work

• On the von Neumann regularity of rings with regular prime factor rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Commutative Rings Over which Every Module has a Maximal Submodule
• Homological properties of the ring of differential polynomials
• Regular P.I.-Rings
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