אבן העזר י׳Even HaEzer 10

Se’if 1א׳

הַמְגָרֵשׁ אֶת אִשְׁתּוֹ, וְאַחַר כָּךְ זִנְּתָה, מֻתֶּרֶת לַחֲזֹר לְבַעְלָהּ. הַגָּה: וְכֵן אִם זָנְתָה עִם הָרִאשׁוֹן, וְנִתְקַדְּשָׁה לַשֵּׁנִי, וְגֵרְשָׁהּ, מֻתֶּרֶת לַחֲזֹר לָרִאשׁוֹן, אֲפִלּוּ הָיְתָה מְיֻחֶדֶת לוֹ תְּחִלָּה (תְּשׁוּבַת הָרֹא"שׁ כְּלָל נ"ג וּמַהֲרַ"ם פַּדָּוואָה סִימָן י"ט). אֲבָל אִם נִתְקַדְּשָׁה לְאַחֵר וְגֵרְשָׁהּ, אוֹ מֵת, אֲסוּרָה לַחֲזֹר לָרִאשׁוֹן. וַאֲפִלּוּ לֹא נִתְגָּרְשָׁה רַק מִכֹּחַ קוֹל בְּעָלְמָא (הָרֹא"שׁ כְּלָל ה') (וְעַיִּן לְעֵיל סִימָן ו', וְעַיֵּן לְקָמָן סִימָן מ"ו סָעִיף ה' וְסָעִיף ו'):

One who divorces his wife, and after that she engages in nonmarital relations with another, she is permitted to return to her husband. Ram''a: And this is also the case if she engaged in nonmarital relations with the first [husband], then she was betrothed to a second [husband], who divorces her, she is permitted to return to the first [husband], even if she was designated to him first. Shulchan Arukh: But if she was betrothed to another and he divorced her, or he died, it is forbidden for her to return to the first [husband]. Ram''a: And even if she was only divorced on the basis of mere gossip.

Se’if 2ב׳

חֵרֵשׁ שֶׁגֵּרַשׁ בִּרְמִיזָה וְהָלְכָה וְנִתְקַדְּשָׁה לְחֵרֵשׁ אַחֵר, וְאֵין צָרִיךְ לוֹמַר לְפִקֵּחַ, אֲסוּרָה לַחֲזֹר לְבַעְלָהּ הַחֵרֵשׁ. אֲבָל אִשְׁתּוֹ שֶׁל פִּקֵּחַ שֶׁנִּתְגָּרְשָׁה, וְהָלְכָה וְנִשֵּׂאת לְחֵרֵשׁ, וְנִתְגָּרְשָׁה, מֻתֶּרֶת לַחֲזֹר לְבַעְלָהּ הַפִּקֵּחַ. וְע"ל סִימָן קי"ט אִם מֻתָּר לָדוּר עִמָּהּ בְּחָצֵר לְאַחַר שֶׁגֵּרְשָׁהּ:

A deaf person who divorces by hinting and she went and betroths a different deaf person, and it goes without saying to a hearing-person, she is forbidden to return to her deaf husband. But the wife of a hearing-person that was divorced, and she went and married a deaf person, and was divorced, she is permitted to return to her hearing-husband.

Se’if 3ג׳

הַמּוֹצִיא אֶת אִשְׁתּוֹ מִשּׁוּם שֵׁם רַע שֶׁיָּצָא עָלֶיהָ, אוֹ מִפְּנֵי שֶׁהִיא נַדְרָנִית, אוֹ מִפְּנֵי שֶׁהִיא אַיְלוֹנִית, לֹא יַחֲזִיר. וְיֵשׁ אוֹמְרִים דַּוְקָא בִּדְאָמַר לָהּ: מִפְּנֵי כָּךְ אֲנִי מוֹצִיאֵךְ, וְכָפַל דְּבָרָיו לוֹמַר: אִלְמָלֵא כָּךְ לֹא הָיִיתִי מוֹצִיאֵךְ. אֲבָל אִם לֹא כָּפַל דְּבָרָיו, יָכוֹל לְהַחֲזִירָהּ. וְיֵשׁ אוֹמְרִים שֶׁאִם אָמַר לָהּ: מִפְּנֵי כָּךְ אֲנִי מוֹצִיאֵךְ, אַף עַל פִּי שֶׁלֹּא כָּפַל דְּבָרָיו, אֵינוֹ יָכוֹל לְהַחֲזִירָהּ. וְיֵשׁ מִי שֶׁאוֹמֵר, שֶׁאֲפִלּוּ לֹא אָמַר לָהּ: מִפְּנֵי כָּךְ אֲנִי מוֹצִיאֵךְ, לֹא יַחֲזִיר:

One who sends out his wife because of a bad reputation about her, or because she is a person who habitually vows, or because she is barren, he may not accept her back. And there are those who say, only if he said to her: Because of this [reason] I am sending you out, and doubles his words to say, were it not for this, I would not be sending you out. But if he did not double his words, he is able to accept her back. And there are those who say that if he said to her: Because of this I am sending you out, even though he did not double his words, he is not able to accept her back. And there is one who says, that even if he did not say to her: Because of this I am sending you out, he may not accept her back.