The Sages taught in a baraita: The descendants of Noah were commanded to observe seven mitzvot:
a) judgment;
b) blessing the Name;
c) idol worship;
d) forbidden sexual relations;
e) bloodshed;
f) robbery;
g) [eating] a limb from a living animal.
ויצו אלו הדינין וכן הוא אומר (בראשית יח, יט) כי ידעתיו למען אשר יצוה את בניו וגו'
“And He commanded,” these are the courts; and so it states in another verse: “For I have known him, to the end that he may command his children, etc.
(יד) וְכֵיצַד מְצֻוִּין הֵן עַל הַדִּינִין. חַיָּבִין לְהוֹשִׁיב דַּיָּנִין וְשׁוֹפְטִים בְּכָל פֶּלֶךְ וּפֶלֶךְ לָדוּן בְּשֵׁשׁ מִצְוֹת אֵלּוּ. וּלְהַזְהִיר אֶת הָעָם. וּבֶן נֹחַ שֶׁעָבַר עַל אַחַת מִשֶּׁבַע מִצְוֹת אֵלּוּ יֵהָרֵג בְּסַיִף. וּמִפְּנֵי זֶה נִתְחַיְּבוּ כָּל בַּעֲלֵי שְׁכֶם הֲרִיגָה. שֶׁהֲרֵי שְׁכֶם גָּזַל וְהֵם רָאוּ וְיָדְעוּ וְלֹא דָּנוּהוּ.
(14) What must they do to fulfill their requirement regarding the Law of Justice? They have to set up magistrates and judges in each district to judge the people with regard to these Six Commandments; and they must issue warnings (about them) to the people. A non-Jew who violates one of the Seven Commandments is executed by means of the sword. This entire passage is absent in most versions. How is this so? Anyone who worships idols or blasphemed or murdered or had sexual relations with one of those forbidden to him or stole even less than the value of a Prutah or ate any amount from a limb or the flesh of a live animal or saw someone else violate one of these and failed to judge and execute him, is himself executed by means of the sword. It was for this reason all residents of the City of Shechem deserved to be executed. For Shechem kidnapped Dinah., and they saw and knew and failed to judge him.
ועל דעתי הדינין שמנו לבני נח בשבע מצות שלהם אינם להושיב דיינין בכל פלך ופלך בלבד אבל צוה אותם בדיני גנבה ואונאה ועושק ושכר שכיר ודיני השומרים ואונס ומפתה ואבות נזיקין וחובל בחבירו ודיני מלוה ולוה ודיני מקח וממכר וכיוצא בהן כענין הדינין שנצטוו ישראל ונהרג עליהן אם גנב ועשק או אנס ופתה בתו של חבירו או שהדליק גדישו וחבל בו וכיוצא בהן ומכלל המצוה הזאת שיושיבו דיינין גם בכל עיר ועיר כישראל.
But according to my opinion, the laws that were counted [as one] of the seven commandments that the Children of Noach were commanded is not only to set up judges in each and every town, but [rather] He commanded them in the laws of theft and fraud, abuse, fair wages, laws of guardianship, rape and seduction, the main categories of damages, injury to ones's fellow, laws of the borrower and lender, laws of purchase and sale and similar to them - like the matter of the laws that Israel was commanded. And he is killed for them if he steals or abuses or rapes or seduces the daughter of his fellow, or if he burnt his hedge and caused injury with it, and similar to this. And in the category of this commandment is also that they set up judges in each and every city - like Israel.
Rabbi Benjamin Blech
In a dramatic story that became a movie, the famous Nazi hunter, Simon Weisenthal, discovered Eichmann's whereabouts. Israeli agents kidnapped him in a fantastic cloak-and-dagger operation. And Eichmann was brought to trial so that the world might have a clear and indisputable record of the crime of the centuries. The transcript of the trial is available. The stories, which defy human understanding, can be read by anyone with a stomach for them. They confirm the profound depth of the tragedy. Eichmann, of course, was found guilty and was hanged on May 31, 1962. Among his last words was the remark that would show the extent of his self-delusion, "I am an idealist." Jews could only hope that they executed not only Eichmann but the ideals he represented.