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Oct
19 |
comment |
Demonstrating that rigour is important
@Fan Zheng Absolutely. I'm going to see if I can find an example where overflow could be an issue. I guess the terms would need to go to zero very slowly. |
Jun
15 |
comment |
Differences between reflexives and projectives modules
@Francisco Pedromo You can look up Enochs' page at the University of Kentucky website, math.as.uky.edu. I believe he has a CV and list of publications there. |
Jun
15 |
comment |
Differences between reflexives and projectives modules
@Francisco Pedromo I believe Enochs has done a fair amount of work with reflexive modules. If you have access to MathSciNet you could check out his publications. You might find something of interest. |
Feb
13 |
awarded | Yearling |
Jan
12 |
revised |
About injective hull
now typed in TeX. |
Aug
17 |
awarded | Editor |
Aug
17 |
revised |
Why are noetherian rings such natural objects in algebraic geometry?
edited body |
Aug
16 |
answered | Why are noetherian rings such natural objects in algebraic geometry? |
Jul
1 |
answered | Textbook recommendations for undergraduate proof-writing class |
May
30 |
comment |
What has happened to Lang's Files and other political texts?
@Emerton - Maybe. I had a friend who was writing a thesis with Lang and got fed up with either Lang or his thesis, and told Lang off with some very choice words. Half the department was outraged, the other half cheered. Lang was not universally loved, I guess. Might have influenced Yale's decision. |
May
30 |
comment |
Old books still used
@Andreas - I have the English translation of the seventh edition with me. It has a condensed treatment of elimination. I use this book often as a reference, and have a couple of earlier editions. I especially like the section on factorization in a finite number of steps in the second edition, which is missing from later ones. van der Waerden presents a proof due to Kronecker for the case of polynomials with rational coefficients. From what he says in the preface to the second edition, I believe this is a concession to intuitionism. |
Aug
22 |
comment |
Is primary decomposition still important?
Very nicely done. I tried to give more than plus one, but the site is too smart. I would've given several more if I could. |
Mar
1 |
awarded | Necromancer |
Feb
29 |
answered | Do you find your students are less competent in basic algebra and arithmetic, and, if so, do you believe that this is due to overuse of calculators at an early level? |
Feb
29 |
awarded | Commentator |
Feb
29 |
comment |
Do names given to math concepts have a role in common mistakes by students?
Or my favorite from Lang's "Algebra": "a ring $R$ is said to be simple if it is semi-simple and ... ." |
Feb
10 |
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minimal divisible group
Your $E$ is what would be called the divisible hull (or envelope) of $A$. Essentially by definition, $E$ is essential over $A$. This is the result of several equivalent conditions that are summarized in Section 4.2 of Lambek's "Lectures on Rings and Modules." For abelian groups, or modules over a PID, injective is equivalent to divisible. |
Jan
3 |
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Books you would like to see translated into English.
I don't know how easy the French is in EGA or SGA, but the French in Grothendieck's "Sur quelques points d'algebre homologique", the Tohoku paper, is terribly opaque. I read French well, but that paper was an exceptional challenge. I would welcome an English translation. |
Jan
2 |
answered | Depressed graduate student. |
Jan
1 |
comment |
Demonstrating that rigour is important
If one wants to carry this to the extreme, any divergent series with the property that the n-th term goes to zero will converge on a calculator as the terms will eventually fall below the underflow value for the calculator, and hence be considered to be zero. |