An Equivalent Condition and Some Properties of Strong J-Symmetric Ring
Let JR denote the Jacobson radical of a ring R. We say that ring R is strong J-symmetric if, for any a,b,c∈R, abc∈JR implies bac∈JR. If ring R is strong J-symmetric, then it is proved that Rx/xn is strong J-symmetric for any n≥2. If R and S are rings and WSR is a R,S-bimodule, E=TR,S,W=RW0S=rw0s|r∈R...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7335202 |