Hi! I'm thrilled to have found this forum! I have a quick question about the connotation of "I am" or "Я"

It comes across that in Russian "I am" has been simplified into one letter, Я, so if you were to say "I am angry" it would be "Я сердит", correct? I wanted to confirm that it has the same connotation as in English. It is a simple statement of being. I am angry, I am a woman, I am a purple three headed monster, etc- it's all I am, Я. Does it have another meaning or understanding in Russian? The reason I want to be sure of this is that any other verb following that is then taken. "I can" also starts with Я. Please let me know if this makes any sense! Thanks so much for all your help!

You can also  translate "I`m angry" as "? ??" or "? /???"