Abstract
Let R be a prime ring and I a nonzero left Ideal of R which is a semi prime as a ring. For a right (σ,τ) – derivations δ:R → R, we prove the following results:(1) If δ acts as a homomorphism on I, then δ= 0 on R.(2) If δ acts as an anti- homomorphism on I, then either δ = 0 on R or I Z(R).
The article was added to IASJ on 2012-12-02
335 Total full text downloads since the date of addition
Year |
Total |
Jan |
Feb |
Mar |
Apr |
May |
Jun |
Jul |
Aug |
Sep |
Oct |
Nov |
Dec |
2024 |
7 |
5 |
2 |
|
|
|
|
|
|
|
|
|
|
2023 |
19 |
1 |
|
|
2 |
1 |
2 |
|
3 |
1 |
3 |
3 |
3 |
2022 |
33 |
5 |
1 |
3 |
3 |
4 |
3 |
5 |
2 |
2 |
2 |
3 |
|
2021 |
45 |
3 |
9 |
2 |
1 |
5 |
13 |
4 |
2 |
1 |
2 |
1 |
2 |
2020 |
35 |
3 |
2 |
3 |
3 |
2 |
5 |
1 |
6 |
3 |
2 |
4 |
1 |
2019 |
18 |
|
|
2 |
|
1 |
2 |
1 |
1 |
4 |
2 |
1 |
4 |
2018 |
12 |
|
1 |
|
|
|
2 |
2 |
4 |
2 |
|
|
1 |
2017 |
20 |
1 |
3 |
|
2 |
3 |
|
1 |
3 |
1 |
2 |
|
4 |
2016 |
30 |
|
|
4 |
1 |
|
2 |
1 |
6 |
7 |
5 |
1 |
3 |
2015 |
28 |
1 |
|
7 |
4 |
1 |
4 |
|
2 |
2 |
6 |
1 |
|
2014 |
48 |
1 |
5 |
3 |
2 |
4 |
3 |
4 |
2 |
6 |
3 |
1 |
14 |
2013 |
37 |
7 |
1 |
5 |
4 |
3 |
3 |
5 |
2 |
3 |
3 |
1 |
|
2012 |
3 |
|
|
|
|
|
|
|
|
|
|
|
3 |
Usage is updated on a monthly basis.