COLUMBUS, Ohio — Ohio State President Walter “Ted” Carter Jr. resigned on Monday after disclosing “an inappropriate relationship” with a woman seeking public resources for her private business. Carter, 66, said in a statement that he had resigned voluntarily after informing the university’s board of trustees of his error. He did not elaborate on the nature of the relationship and said he was leaving with his wife, Lynda. “For personal reasons, I have made the difficult decision to resign from