873 reputation
816
bio website a.b.c.d
location Paris, France
age 54
visits member for 3 years, 1 month
seen Apr 16 at 4:38

Not much to say.


May
15
comment Application of Galois theory
@Qiaochu : right, it was developed around that particular problem but is not restricted to it. I will change my wording.
May
15
revised Application of Galois theory
Added examples
May
15
answered Application of Galois theory
May
12
awarded  Vox Populi
May
12
awarded  Suffrage
May
12
awarded  Critic
Apr
27
revised Set of Ideals of a Polynomial Ring
changed title to avoid a confusion with another question
Apr
27
revised Prime Ideal of a Polynomial Ring
changed title and beautified the set of rationals
Apr
27
suggested suggested edit on Prime Ideal of a Polynomial Ring
Apr
27
suggested suggested edit on Set of Ideals of a Polynomial Ring
Apr
26
answered Books and Papers that have treatment of properties like Idempotence and related operations
Apr
25
awarded  Quorum
Apr
25
revised what is the difference between field and group in algebra
Another edit, illustrating that it is sometimes more risky to stay in generalities than to use only definitions and theorems.
Apr
25
comment what is the difference between field and group in algebra
@Mariano: you are right the confusion stems from the meaning of "parent" in french which is more inclusive than in modern english. I will edit my text again, thanks for your remark. But I maintain that there is a stronger and genetic link between groups and rings than between (to take your own example), topological spaces and groups, even if in my opinion, the latter link is quite close too.
Apr
25
comment what is the difference between field and group in algebra
@Mariano: About rings, the problem between us is perhaps the meaning of "parent" here. I see at least two reasons to consider them close parents : one is the embedded group in a ring and another one is the fundamental way to see a finite group for instance, as a $\Z$-module or a $F_q$-module. It is the basis of modern proofs of many important results of group theory.
Apr
25
revised what is the difference between field and group in algebra
Try to respect the Vulgate on the HotGC
Apr
25
comment what is the difference between field and group in algebra
My formulation -- I will try to edit it, may give a false impression. Groups actually arose first under this name both in the study of equations designed and used by Galois as "Groups of substitutions" operating on symbols and by Cauchy as well, at the same time, operating also on points of geometrical figures designed by letters.
Apr
25
answered what is the difference between field and group in algebra
Apr
25
revised What is a natural isomorphism?
Several rewordings and a few things more explicitely stated.
Apr
25
revised What is a natural isomorphism?
corrected typo.