This is how you say what your name is:
Máirtín is ainm dom.
My name is Máirtín.
A slightly different form of dom, domsa, is often used in a situation where more than one person introduces himself:
Sinéad: | Sinéad is ainm dom. My name is Sinéad. | |
Peadar: | Peadar is ainm domsa. My name is Peadar. | |
Bríd: | Agus Bríd is ainm domsa. And my name is Bríd. | |