What do you think of the taking care of a woman?

I dont know whether I used the right word for the explanation. But there is saying in the country where I came from " take ownership" closest translation. Like the taking care of a dog or cat or a pet. Or a child. Like feeding them taking care of them, clean them, giving the money when they need to?
What do you think of this explanation?

I think nobody owns anybody. Maybe you are good together but you dont own your partner. He/she is individual existince. Your own is good, enough, sufficient. You are not my child or a pet..

But some girls in the country where I came from says "getting taken ownership by a man" is a good thing? Do girls really like it?
What do you think of it?
What do you think of the taking care of a woman?
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