Are alpha males typically...?

I believe that a Alpha male can have all or some of those trails but I believe that all Alpha males are arrogant snots. I dont like that type of man and will have nothing to do with him. Its not that I want to be the dominant one, I dont respect a man who allows a woman to be dominant either cause I dont want to have to tell a man what to do. But I also dont want to be treated like shyt and those types of men usually take advantage of a woman and take her for granted. Of couse this is my opinion of that type of man.