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math.RA2010
On countably -C2 rings
Liang Shen, Jianlong Chen
Let be a ring. is called a right countably -C2 ring if every countable direct sum copies of is a C2 module. The following are equivalent for a ring : (1) …
math.RA2010
J-regular rings with injectivities
Liang Shen
A ring is called a J-regular ring if R/J(R) is von Neumann regular, where J(R) is the Jacobson radical of R. It is proved that if R is J-regular, then (i) R is right n-injectiv…