Let R be a ring and n be a positive integer.Then R is called a left n-C2-ring(strongly left C2-ring)if every n-generated(finitely generated)proper right ideal of R has nonzero left annihilator.We discuss some n-C2 and...Let R be a ring and n be a positive integer.Then R is called a left n-C2-ring(strongly left C2-ring)if every n-generated(finitely generated)proper right ideal of R has nonzero left annihilator.We discuss some n-C2 and strongly C2 extensions,such as trivial extensions,formal triangular matrix rings,group rings and[D,C].展开更多
文摘Let R be a ring and n be a positive integer.Then R is called a left n-C2-ring(strongly left C2-ring)if every n-generated(finitely generated)proper right ideal of R has nonzero left annihilator.We discuss some n-C2 and strongly C2 extensions,such as trivial extensions,formal triangular matrix rings,group rings and[D,C].
