וְלֹֽא־תִשָּׁבְע֥וּ בִשְׁמִ֖י לַשָּׁ֑קֶר וְחִלַּלְתָּ֛ אֶת־שֵׁ֥ם אֱלֹהֶ֖יךָ אֲנִ֥י יְהוָֽה׃
И вы не должны ложно клясться Моим именем, чтобы вы осквернили имя Бога вашего: Я Господь.
Tze'enah Ure'enah
“You shall not swear by My name” [19:12]. You should not swear by My name. Whichever name it is, it is from God.
Rashi
ולא תשבעו בשמי AND YE SHALL NOT SWEAR BY MY NAME [TO A LIE] - Why is this stated at all (how does the particular form of words used here tell us more than is contained in the Third Commandment)? Since it is said (Exodus 20:7) “Thou shalt not take the name of the Lord ('ה) thy God in vain”, I might have inferred that one is not liable except he swore by the "Proper Name” of the Lord (שם המיוחד). Whence do I know that all names that are descriptive of God's attributes (Adonay, Rachum, Chanun etc.) are included in this prohibition? Because Scripture states “ye shall not swear by My Name to a lie", thus implying by any Name I have (Sifra, Kedoshim, Section 2 6).
Ibn Ezra
Do not swear by My Name falsely appears after “Do not steal…”, for someone who is accused of stealing, or of denying a deposit, must take an oath. Scripture uses the plural form of the verb, to include as well anyone who induces another to swear falsely.