Islam considers a woman to be equal to a man as a human being and as his partner in this life. Women have been created with a soul of the same nature as manís. Allah (SWT) says in the Quran:
"O mankind! Be dutiful to your Lord, Who created you from a single person (Adam), and from him (Adam) He created his wife (Eve), and from them both He created many men and women and fear Allah through Whom you demand your mutual (rights), and (do not cut the relations of) the wombs (kinship). Surely, Allah is Ever and All-Watcher over you." (Al-Nisa 4:1)
And in the words of the Prophet Muhammad (SAW),
"Assuredly, women are the twin halves of men." (Sahih reported by Abu-Dawud (RA)
Islam does not blame Eve alone for the First Sin. The Quran makes it very clear that both Adam and Eve were tempted, that they both sinned and were both forgiven after their repentance. Allah (SWT) says in the Quran:
"Then Satan whispered suggestions to them both in order to uncover that which was hidden from them of their private parts (before); he said: "Your Lord did not forbid you this tree save you should become angels or become of the immortals." And he (Satan) swore by Allah to them both (saying): "Verily, I am one of the sincere well-wishers for you both." So he mislead them with deception. Then when they tasted of the tree, that which was hidden from them of their shame (private parts) became manifest to them and they began to stick together the leaves of Paradise over themselves (in order to cover their shame). And their Lord called out to them (saying): "Did I not forbid you that tree and tell you: Verily, Satan is an open enemy unto you?" They said: "Our Lord! We have wronged ourselves. If You forgive us not, and bestow not upon us Your Mercy, we shall certainly be of the losers." (Allah) said: "Get down, one of you an enemy to the other (i.e. Adam, Eve, and Satan, etc.). On earth will be a dwelling-place for you and an enjoyment, - for a time." He said: "Therein you shall live, and therein you shall die, and from it you shall be brought out (i.e. resurrected)."(Al-Aíraf 7:20-25)
In Islamic law a woman is an independent, unique individual in her own right. She has the same responsibilities towards herself, towards Allah (SWT) and towards other human beings as the male, and will be punished or rewarded in the Hereafter without discrimination towards her female gender.
There is no compulsion in religion according to the Quran:
"There is no compulsion in religion. Verily, the Right Path has become distinct from the wrong path. Whoever disbelieves in Taghut [anything worshipped other then the Real God (Allah)] and believes in Allah, then he has grasped the most trustworthy handhold that will never break. And Allah is All-Hearer, All-Knower."
A Muslim woman is not permitted to change her family name to her husbandís name upon marriage. She is always known by her fatherís name, as a mark of her own identity. In choosing a marriage partner, her consent to accept or reject any prospective suitor for marriage must be respected. A Muslim woman has the right to seek divorce, if necessary within the laws of Islam.