Advanced Algebra week of the semester a question from the scheduled start of the first week of teaching, to the end of the 16th week of teaching, published a weekly weekend thinking questions (a total of 16, the general thinking is closely related to the topic next week lectures), for think and answer. Every Monday through title "Advanced Algebra official blog" (Bowen to form) and "Higher Algebra online course 19 group lessons" (in the form of group lesson topic) these two channels simultaneously released. Interested students can be written answer one question every week on paper, or using a mobile phone APP scanned using a mobile phone camera (note clarity and image pixels is not too high), and group lessons upload pictures to answer one question every week corresponding topics. It will answer a question on a regular basis every week marking and evaluation, and recommended to the class marked excellent answer.
[Problems 2020S01] provided number field $ \ mathbb {K} bivariate polynomial $ f (x, y) $ on $ X $ $ on times or less $ n $, $ Y $ on times or less $ m $ Let $ \ mathbb {K} $ present in two mutually differing $ a_0, a_1, \ cdots, a_n $ and $ b_0, b_1, \ cdots, b_m $, such $$ f (a_i, b_j) = . 0, \, \, \ , \, 0 \ leq i \ leq n, \, \, 0 \ leq j \ leq m $$ proof: $ f (x, y) $ zero polynomial.