In this paper, it is defined that left *-α-derivation, generalized left *-α-derivation and *-α-derivation, generalized *-α-derivation of a *-ring where α is a homomorphism. The results which proved for generalize...In this paper, it is defined that left *-α-derivation, generalized left *-α-derivation and *-α-derivation, generalized *-α-derivation of a *-ring where α is a homomorphism. The results which proved for generalized left *-derivation of R in [1] are extended by using generalized left *-α-derivation. The commutativity of a *-ring with generalized left *-α-derivation is investigated and some results are given for generalized *-α-derivation.展开更多
We show that for an integral domain or a commutative local ring, it is an L~＊-ring if and only if it is an O~＊-ring. Some general conditions are also proved for a commutative ring that cannot be L~＊.
文摘In this paper, it is defined that left *-α-derivation, generalized left *-α-derivation and *-α-derivation, generalized *-α-derivation of a *-ring where α is a homomorphism. The results which proved for generalized left *-derivation of R in [1] are extended by using generalized left *-α-derivation. The commutativity of a *-ring with generalized left *-α-derivation is investigated and some results are given for generalized *-α-derivation.
基金Supported by the National Natural Science Foundation of China(Grant No.11271275)the Natural Science Foundation of Shanghai Municipal(Grant No.13ZR1422500)
文摘We show that for an integral domain or a commutative local ring, it is an L~＊-ring if and only if it is an O~＊-ring. Some general conditions are also proved for a commutative ring that cannot be L~＊.
