פּירוש אויף בראשית 13:11

וַיִּבְחַר־ל֣וֹ ל֗וֹט אֵ֚ת כָּל־כִּכַּ֣ר הַיַּרְדֵּ֔ן וַיִּסַּ֥ע ל֖וֹט מִקֶּ֑דֶם וַיִּפָּ֣רְד֔וּ אִ֖ישׁ מֵעַ֥ל אָחִֽיו׃

און לוט האָט אױסגעקליבן פֿאַר זיך די גאַנצע געגנט פֿון יַרדן; און לוט האָט אַװעקגעצױגן קײן מזרח, און זײ האָבן זיך אָפּגעשײדט אײנער פֿון אַנדערן.

Rashi

ככר The word means “a plain” as the Targum translates it.
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Chizkuni

ויפרדו איש מעל אחיו, “they separated totally from one another.” This separation lasted historically throughout the generations so that descendants (male) of Lot were never allowed to convert to Judaism. (Deuteronomy 23,4)
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Sforno

ויבחר לו לוט, he selected as much area as he himself with his shepherds would manage to control as their grazing land. In this section of the earth Avram and his shepherds would not be allowed to graze.
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Rashi

מקדם FROM THE EAST — He removed from Abram and went westward of Abram — consequently he travelled from the East to the West. A Midrashic explanation is: He wandered away from the Originator (מקדמונו) of the Universe, saying, “I want neither Abram nor his God” (Genesis Rabbah 41:7).
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