The present invention relates to pyrimidine or pyridine carbamate compounds having the general Formula I: ##STR00001## and pharmaceutically acceptable salts or derivatives thereof. Also included are methods of treatment of various diseases and conditions, including inflammation, inhibition of T cell activation and proliferation, arthritis, organ transplant, ischemic or reperfusion injury, myocardial infarction, stroke, multiple sclerosis, inflammatory bowel disease, Crohn's disease, lupus, hypersensitivity, type 1 diabetes, psoriasis, dermatitis, Hashimoto's thyroiditis, Sjogren's syndrome, autoimmune hyperthyroidism, Addison's disease, autoimmune diseases, glomerulonephritis, allergic diseases, asthma, hayfever, eczema, cancer, colon carcinoma, thymoma, just to name a few, in a mammal, the methods comprising administering a therapeutically-effective amount a compound of Formula I, or a salt or derivative form thereof, as described above.