In Judaism, the determination of Jewish identity is primarily passed matrilineally, which means that if your mother is Jewish, you are considered Jewish regardless of your father's background. This principle is known as "matrilineal descent." So, if your mother is Jewish, you are also considered Jewish according to Jewish law.
Therefore, you would be considered fully Jewish, not just half Jewish, even if your father is not Jewish. Jewish identity is not divided equally between parents; it is mainly derived from the mother's Jewish heritage.
It's important to note that Jewish identity can be complex and multifaceted, and some branches of Judaism may have different interpretations or variations on this principle. However, matrilineal descent remains a widely recognized and fundamental aspect of Jewish identity in many Jewish communities and traditions.