Smoking any substance will carry the same risk as smoking marijuana due to carcinogens in all smoke, and the ultimate conclusions on these factors are disputed. Cannabis use disorder is defined as a medical diagnosis in the fifth revision of the Diagnostic and Statistical Manual of Mental Disorders (DSM-5).
In abstract algebra, a homomorphism is a structure-preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the ancient Greek language: á½Î¼ÏÏ (homos) meaning same and Î¼Î¿ÏÏÎ® (morphe) meaning form or shape.ince inverses exist in G and H, one can show that the identity of G maps to the identity of H and that inverses are preserved. The algebraic structure to be preserved may include more than one operation, and a homomorphism is required to preserve each operation.
The kernel of h is a normal subgroup of G and the image of h is a subgroup of H : If and only if ker(h) = {eG }, the homomorphism, h, is a group monomorphism; i.e., h is injective (one-to-one).Injection directly gives that there is a unique element in the kernel, and a unique element in the kernel gives injection:nd the image of h to be. The kernel and image of a homomorphism can be interpreted as measuring how close it is to being an isomorphism. The First Isomorphism Theorem states that the image of a group homomorphism, h (G) is isomorphic to the quotient group G /ker h.