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- W61916983 abstract "This chapter discusses the max rings, V-rings, and rings and modules related to V-rings. All rings are associative and have nonzero identity elements. A module is said to be simple if it does not have nonzero proper submodules. A direct sum of simple modules is called a semi-simple module. A submodule N of a module M is called a maximal submodule if the module M / N is simple. A ring A is called a right max ring if every nonzero right A-module has a maximal submodule. Every semi-simple ring is a right and left max ring, and every factor ring of a right max ring is a right max ring. A ring A is called a right V-ring if every simple right A-module is an injective module. A ring A is called a right GV-ring if all simple singular right A-modules are injective. It is directly verified that A is a right GV-ring as every simple right A-module is either injective or projective." @default.
- W61916983 created "2016-06-24" @default.
- W61916983 creator A5057554809 @default.
- W61916983 date "2003-01-01" @default.
- W61916983 modified "2023-09-24" @default.
- W61916983 title "Max Rings and V-rings" @default.
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- W61916983 doi "https://doi.org/10.1016/s1570-7954(03)80071-2" @default.
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