Summary:
The מתנת שכ"מ is given to the heirs of the מקבל even if at the time the שכ"מ died the מקבל was already dead and the יורשין were not born, because it is the intent of the שכ"מ to give it to the heirs, and the מתנת שכ"מ becomes effective retroactively from the time the gift was given or ordered.
And ר"י הנשיא in the name of ר"י says, הולך is not like זכי , etc. - ורבי יהודה הנשיא בשם רבי יעקב אומר הולך לאו כזכי
Summary:
רבי generally maintains הולך לאו כזכי except in a case where it is evident that the שליח is acting on behalf of the מקבל, then הולך is כזכי unless the grantor explicitly excludes the שליח from being זוכה for the מקבל.
And here they said שודא is preferable - וכאן אמרו שודא עדיף
Summary:
רש"י maintains that שודא requires a judgment call by the דיין as to who was the intended receiver, while the ר"ת maintains that the דיין has free rein by שודא.
רבי אליעזר states; whether he is a בריא or whether he is, etc. - רבי אליעזר אומר אחד בריא ואחד כולי
Summary:
The חכמים (and ר"י) maintain we always say דברי שכ"מ כככתובים וכמסורים דמי; however ר' אליעזר of the סיפא maintains that אמירת שכ"מ is effective only on שבת (and according to ר"מ the reverse is true); the opinion of ר' אלעזר of the רישא is that אמירת שכ"מ is never effective.