See commentary for Mosiah 15:3.
Dallin H. Oaks
"The Book of Mormon explains the significance of being called by the name of Jesus Christ. When the Savior showed his spirit body to the brother of Jared, he introduced himself as the Father and the Son, declaring that through his redeeming sacrifice all mankind who believed on his name should have life eternal through him, 'and they shall become my sons and my daughters.' (Ether 3:14.) Abinadi said of those who believed in the Lord and looked to him for a remission of their sins 'that these are his seed, or they are heirs of the kingdom of God.' (Mosiah 15:11.) He continued this explanation as follows:
'For these are they whose sins he has borne; these are they for whom he has died, to redeem them from their transgressions. And now, are they not his seed?' (Mosiah 15:12.)
"Speaking through the prophet Alma, the Lord explained the significance of this relationship: 'For behold, in my name are they called; and if they know me they shall come forth, and shall have a place eternally at my right hand.' (Mosiah 26:24.)
"In these great scriptures from the Book of Mormon, we learn that those who are qualified by faith and repentance and compliance with the laws and ordinances of the gospel will have their sins borne by the Lord Jesus Christ. In spiritual and figurative terms they will become the sons and daughters of Christ, heirs to his kingdom. These are they who will be called by his name in the last day." (Conference Report, May 1985 Ensign, "Taking Upon Us the Name of Jesus Christ")