TT #36 · Parashas Vayeira · Passuk 18:19
For I have known him, in order that he may command his children and his household after him to keep the way of Hashem by doing righteousness and justice, so that Hashem may bring upon Avraham that which He has spoken concerning him.
Torah Temimah points to Sanhedrin 56b. E-Daf · Sefaria — Sanhedrin 56b
TT lemma: את בניו.
“His children and his household…” “His children” for justice, “his household” for righteousness—because women are not commanded concerning [the formal laws of] judgment.
Derash on the verse (Bavli sugya) — not a formal named middah of the 13. The two objects of the verb receive distinct assignments.
Avraham was to train his sons in justice and his household in righteousness; women are not obligated in the formal laws of din.