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.
Group Homomorphism. A group homomorphism is a map between two groups such that the group operation is preserved: for all, where the product on the left-hand side is in and on the right-hand side in.As a result, a group homomorphism maps the identity element in to the identity element in : .ote that a homomorphism must preserve the inverse map because, so. In particular, the image of is a subgroup of and the group kernel, i.e., is a subgroup of. The kernel is actually a normal subgroup, as is the preimage of any normal subgroup of.