Look at the book The Merit of the Righteous Woman by the Biale Rebbe. You can read much of it for free on books dot google dot com, if you just search for the name of the book. It looks really fascinating.
Every person, male or female, was created to serve Hashem in his or her own particular way, through prayer, Torah study, mitzvos and other ma’asim tovim, and thereby achieve their particular soul correction (tikkun). Women, who are less violent and arrogant and more nurturing and compassionate than men, are created closer to Hashem’s ideal, so they don’t need the time-bound mitzvos and public davening to purify their souls and middos and keep them from sin. Women receive merit from the Torah and mitzvos of their husbands and children, but also from their own. Through childrearing, hospitality and chessed activities women often have more opportunities than men for gemilus chasadism, which is one of the foundations of the world (not to mention one of the mitzvos that has no measure, and which has rewards in this world but the principal reward in the world to come.)
Rav Shalom Arush, in his bestseller Garden of Peace, teaches that men cannot achieve their soul correction in this world without being married, because it is only through the process of achieving true and complete shalom bayis that his middos can be refined and his emunah/bitachon perfected. So that is one reason women were created — men cannot achieve their spiritual purpose without making them happy. 🙂