I meant that it takes time to figure out the correct ones, modern algebra is the outcome of nearly 300 years of 'modern' mathematics! It's unfortunate that suc

I meant that it takes time to figure out the correct ones, modern algebra is the outcome of nearly 300 years of 'modern' mathematics! It's unfortunate that such issues exist! But considering the issues within academia, you are most likely in a better situation now that otherwise with respect to free time and salary.