some notes on differential hyperrings

Authors

b. davvaz

abstract

in this paper, we introduce the notion of derivation on krasner hyperrings as follows: the function d : r  r isa derivation on a krasner hyperring r if for all , , ry x  ) ( ) ( = ) ( y d x d y x d   andd (x  y) d (x)  y  x  d ( y). then, we investigate some fundamental properties of derivation on krasnerhyperings and prime krasner hyperrings. also, we introduce differential krasner hyperingsand discuss some relatedproperties.

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Journal title:
iranian journal of science and technology (sciences)

ISSN 1028-6276

volume 39

issue 1 2015

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