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Apr
13
comment lines through a point of the projective plane
Intuitively, if you are talking about a real projective plane, the points and lines are dual with respect to incidence, so all projective lines through a projective point should look like all the projective points on a single projective line.
Apr
13
comment describe the ring $R=M_2(\Bbb F)$, where $\Bbb F$ is a field
To maybe add a little context, this user (Sara) has been posting a lot of problem statements recently without shown effort, despite many comments advising her to show effort. It's debatable here what the right course of action is, but hopefully (for the sake of Sara's education, anyway) the derivative of effort shown is positive and the number of complete-answers-on-a-platter trail off.
Apr
12
comment Let P be a proper left ideal of R. Want to show that if P is comaximal with every non zero 2 sided ideal of R, Core(P) = {0}.
I'm finding many hits for definitions of core that don't seem to suit your question, so it would be nice if you clarified.
Apr
12
comment Euclidean domains and Fields
Dear @RobertSoupe : sure I agree with "treat it as if it were loaded" since that's exactly my last sentence in my last comment. To follow this analogy with your recommendation, your marine commander would order his charges to stop using guns. I just had to intercede to push back against the misrepresentation of wikipedia. I don't intend to push anymore on this thread. Regards
Apr
12
comment Let P be a proper left ideal of R. Want to show that if P is comaximal with every non zero 2 sided ideal of R, Core(P) = {0}.
the core of a left ideal seems to be far more obscure than comaximal ideals. What does it mean? The largest ideal contained in the left ideal?
Apr
12
comment Euclidean domains and Fields
@robertsoupe I don't agree with that assessment. The mathematics pages are usually very reliable. Wikiproject math and its contributes jump on mistakes and poor writing. Of course there is no substitute for the caution that everyone must exercise while reading Wikipedia.
Apr
10
answered Show that if $M$ is a semisimple artinian module then $M$ is finitely generated.
Apr
10
comment Dedekind Cuts and Real Numbers
@markfrazier persistent deletion and reposting of the same question is considered gaming the system, and you are going to get in trouble for it if you don't stop. To all appearances, one doing this appears to be trying to force their question to the top of the list, and/or fishing for a spoonfed answer (since they are willing to obliterate partial answers and not improve the post.)
Apr
10
comment Dedekind Cuts and Real Numbers
@davidk yes, he certainly did. I had asked him to stop reposting this content last night before 12 EDT, when there were two versions up.
Apr
9
revised The annihilator of a module is an ideal
tex improvements, fixed a typo
Apr
9
comment Prove the annihilator of a quotient module is a 2 sided ideal.
The fact that the annihilator of any module is an ideal in the ring is proven in many places on the site, like in the duplicate I linked. It has nothing to do with submodules, really. Even if someone phrased it in terms of submodules, a module is a submodule of itself, and you would still already have your answer. Perhaps you were thinking of left ideals as submodules of R, and had learned that their left annihilators were ideals...
Apr
9
answered hyperplanes in finite vector spaces
Apr
8
comment English for “prolongement” oder “Fortsetzung”?
Dear @MichaelHardy : I was just looking for reasons to explain why one would consider posting a comment consisting entirely of things (shall we say "semantically verbatim") that were posted as solutions two hours previously. Observing questions from the review queue obscures the other answers, so that would be a natural explanation. No matter... Regards
Apr
8
awarded  Nice Answer
Apr
8
comment English for “prolongement” oder “Fortsetzung”?
Dear @MichaelHardy : are you entering the comment thread from the review queue, possibly?
Apr
8
answered Question in geometry on Fano Plane
Apr
8
comment Question in geometry on Fano Plane
Thanks: I actually had luck looking it up shortly after I posted the comment, so I consequently deleted :) sorry
Apr
8
comment English for “prolongement” oder “Fortsetzung”?
Hopefully my answer wasn't too prolonged :)
Apr
8
comment Show that the quotient ring R/N has no non-zero nilpotent elements.
This is answered several times already on the site, in particular math.stackexchange.com/q/132349/29335 and math.stackexchange.com/q/132369/29335. Please, please do some searches before you post your questions. And include what you have tried so far when you do wind up posting questions. Regards
Apr
8
revised What is the difference between ring homomorphism and module homomorphism?
added 39 characters in body