I am surprised to see someone flagged my questions — both asked long ago and had accepted answers — as missing context overnight.
Question 1 was asked years ago, whilst I was writing an essay and doubted about a terminology for a certain decomposition.
Question 2 is a question I encountered in learning infinite Galois theory. I was surprised that while there are claims similar to this about inseparable extensions, nothing is spoken to transcendental extensions, at least not in my textbook. I think my original post already elaborates how did I get to that question, which displays a certain level of understanding the problem itself.
This makes me wonder if my understanding of the community guideline is generally correct. IMHO, these posts addresses my questions without providing too much useless information, and shows that I know my questions. My feeling is that these votes are personal, but before complaining I should probably re-examine whether I wrote these questions correctly.
Questions:
- Are these posts really in need of more context?
- If so, what else can be added?