In this paper, we introduce the notion of derivation on Krasner hyperrings as follows: the function d : R R is a derivation on a Krasner hyperring R if for all , , Ry x ) ( ) ( = ) ( y d x d y x d and d (x y) d (x) y x d ( y). Then, we investigate some fundamental properties of derivation on Krasner hyperings and prime Krasner hyperrings. Also, we introduce differential Krasner hyperingsand discuss some related properties.
Kamali Ardekani, L. and Davvaz, B. (2015). Some notes on differential hyperrings. Iranian Journal of Science, 39(1), 101-111. doi: 10.22099/ijsts.2015.2895
MLA
Kamali Ardekani, L. , and Davvaz, B. . "Some notes on differential hyperrings", Iranian Journal of Science, 39, 1, 2015, 101-111. doi: 10.22099/ijsts.2015.2895
HARVARD
Kamali Ardekani, L., Davvaz, B. (2015). 'Some notes on differential hyperrings', Iranian Journal of Science, 39(1), pp. 101-111. doi: 10.22099/ijsts.2015.2895
CHICAGO
L. Kamali Ardekani and B. Davvaz, "Some notes on differential hyperrings," Iranian Journal of Science, 39 1 (2015): 101-111, doi: 10.22099/ijsts.2015.2895
VANCOUVER
Kamali Ardekani, L., Davvaz, B. Some notes on differential hyperrings. Iranian Journal of Science, 2015; 39(1): 101-111. doi: 10.22099/ijsts.2015.2895