1 citations · 1 across the 5 of their papers we have counts for
6 papers · 1 filter
On small dual rings
Liang Shen
A ring is called right (small) dual if every (small) right ideal of is a right annihilator. Left (small) dual rings can be defined similarly. And a ring is called (smal…
A note on rings with the summand sum property
Liang Shen
A ring is called right SSP (SIP) if the sum (intersection) of any two direct summands of is also a direct summand. Left sides can be defined similarly. The following ar…
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) …
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…
A Note on -injective Rings
Liang Shen
A ring is called right -injective if every homomorphism from a countably generated right ideal of to can be extended to a homomorphism from to $…
Strongly Goldie Dimension
Liang Shen, Jianlong Chen
Let be an associative ring with identity. A unital right -module is called strongly finite dimensional if Sup. Properties of s…