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., & Davvaz, B. (2015). Some notes on differential hyperrings. Iranian Journal of Science, 39(1), 101-111. doi: 10.22099/ijsts.2015.2895
MLA
L. Kamali Ardekani; B. Davvaz. "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
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