The Ten Commandments are enumerate twice in the Old Testament, once in Exodus, once in Dueteronomy. The wording is slightly different, but they're basically the same text. Jews, Catholics, and Protestants number them differently, but they always include the following:
You shall have no other gods before me.
You shall not make for yourself a graven image, or any likeness of anything that is in heaven above, or that is in the earth beneath, or that is in the water under the earth; you shall not bow down to them or serve them; for I the Lord your God am a jealous God, visiting the iniquity of the fathers upon the children to the third and the fourth generation of those who hate me, but showing steadfast love to thousands of those who love me and keep my commandments.
You shall not take the name of the Lord your God in vain; for the Lord will not hold him guiltless who takes his name in vain.
Remember the Sabbath day, to keep it holy. Six days you shall labor, and do all your work; but the seventh day is a Sabbath to the Lord your God; in it you shall not do any work, you, or your son, or your daughter, your manservant, or your maidservant, or your cattle, or the sojourner who is within your gates; for in six days the Lord made heaven and earth, the sea, and all that is in them, and rested the seventh day; therefore the Lord blessed the Sabbath day and hallowed it.
Honor your father and your mother, that your days may be long in the land which the Lord your God gives you.
You shall not kill.
You shall not commit adultery.
You shall not steal.
You shall not bear false witness against your neighbor.
You shall not covet your neighbor's wife, or his manservant, or his maidservant, or his ox, or his ass, or anything that is your neighbor's.
The Ten Commandments are to be followed by all believers of God (the Old Testament clearly states that while the Jews are the chosen people, they are not the only people following God). Jewish teachers have concluded there are a basic core of seven laws they refer to as the noahide laws that all people, believers or not, are to follow:
1. Not to deny God.
2. Not to blaspheme God.
3. Not to murder.
4. Not to engage in incestuous, adulterous, bestial or homosexual relationships.
5. Not to steal.
6. Not to eat a limb torn from a living animal.
7. To set up courts to ensure obedience to the other six laws.
(Quotes from various web sources)