1. Zhang, Hao Bingxin. Advanced algebra. Beijing: Higher Education Press. (fifth edition)
2. Advanced Algebra Peking University Edition (Third Edition).
The Peking University version is more difficult than the Zhang version. Now the mathematical analysis of postgraduate entrance examination is becoming more and more simple, while advanced algebra is becoming more and more difficult. More schools choose Peking University Edition. If your goal of applying for the school is clear, then you can choose the orientation book according to their graduate school's postgraduate entrance examination outline!
And these textbooks have a full set of videos, which I learned bit by bit, and the effect is very good:
Advanced Algebra of Beijing Normal University:
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Advanced Algebra of Nankai University:
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Tsinghua University linear algebra (also higher algebra);
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