It depends on whether parents prefer domestic books or foreign books. Generally speaking, domestic ones are easier to read, but they may not be as detailed as foreign ones; But foreign countries have certain requirements for English. So I recommend some:
Domestic: Modern Algebra by Feng Keqin and Algebra by Mo Zongjian.
Abroad: Introduction to Algebra by Costel King (3 books), Algebra by Ayan and Modern Algebra by Rotman (2 books).