Inspired by the concept of regular local rings in classical algebra, this article we initiate study parameter elements a commutative Noetherian hyperring. These provide deep connection between dimension hyperring and its primary hyperideals. Then, our focusses on R, with maximal hyperideal M, having property that R is equal to vectorial hyperspace MM2 over hyperfield RM. Finally, using hyperrin...

BACKGROUND Because body weight-bearing produces a shift in the horny layer, acral melanocytic nevus on the body weight-bearing area of the sole showed a regular fibrillar pattern (FP) due to slanting of the melanin columns in the horny layer. On the other hand, acral lentiginous melanoma (ALM) on the body weight-bearing area of the sole tended to show irregular fibrillar pattern showing rather ...

¡v in this paper we consider a strongly regular relation ƒá on hypermodules so that the quotient is amodule (with abelian group) over a fundamental commutative ring. also, we state necessary and sufficientconditions so that the relation ƒá is transitive, and finally we prove that ƒá is transitive on hypermodules.