chatish

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Name chatish
Member for 4 months
Seen May 15 at 13:08
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May
15
asked A New Analytic Inequality
May
6
awarded  Good Question
Apr
27
comment A Property of Finite Rings
@Tom: I see. Thank You.
Apr
22
comment A Property of Finite Rings
@Tom: I am afraid the argument is not right. How do you conclude that the sum of all $a(x)$'s and the sum of all $b(x)$'s are equal ?!
Feb
18
accepted A question on primitive rings
Feb
18
answered A question on primitive rings
Feb
15
comment on the Axiom of Choice and the Spectrum of Rings
@Martin: I am interested in algebraic equivalents of AC. So as an old habit whenever I see an application of AC I ask myself is that necessary to use AC ? In this particular problem, I don't know the answer.
Feb
15
comment on the Axiom of Choice and the Spectrum of Rings
@François: By zero-dimensional I mean every prime ideal is maximal.
Feb
15
asked on the Axiom of Choice and the Spectrum of Rings
Feb
13
awarded  Nice Question
Feb
9
awarded  Nice Question
Feb
1
awarded  Good Answer
Feb
1
awarded  Nice Question
Jan
23
awarded  Nice Question
Jan
22
asked Mathematics with the negation of AC
Jan
21
awarded  Nice Answer
Jan
18
awarded  Nice Question
Jan
18
awarded  Nice Question
Jan
17
awarded  Nice Question
Jan
16
comment The set of orders of elements in a group
Thanks. The references where helpful.
Jan
16
comment The set of orders of elements in a group
@Todd: Yes. Note that this does not affect the generality of the problem. since if $B = A\cup\lbrace\infty\rbrace$ then $G\oplus\mathbb{Z}$ whould be the answer.
Jan
16
asked The set of orders of elements in a group
Jan
13
comment Number of Maximal Left Ideals
@Martin: I'm afraid there is no such Boolean algebra. Since maximal ideals are in two-sided correspondence with ultrafilters and if $R$ is a superatomic Boolean algebra then $|Ult(R)| = |R|$ and if $R$ is not superatomic then $|Ult(R)| > 2^{\aleph_0}$. So it seems that there is no uncountable Boolean algebra with only a countable number of ultrafilters.
Jan
13
comment Number of Maximal Left Ideals
@Martin: Right, thanks. Lets continue: How about reduced rings ? Do you have any reduced example ?
Jan
13
asked Number of Maximal Left Ideals
Jan
12
revised Is it necessary to use AC to solve this problem ?
improved
Jan
9
revised Direct product of rings
Edited Title
Jan
8
awarded  Nice Question
Jan
8
awarded  Enlightened
Jan
8
awarded  Nice Answer
Jan
8
accepted Maximal Ideals in $R[x]$
Jan
7
answered Maximal Ideals in $R[x]$
Jan
6
awarded  Nice Question
Jan
6
comment Is it necessary to use AC to solve this problem ?
@Clinton: Very Nice. $A$ is the transfers of the Cantor ternary set.
Jan
5
asked Is it necessary to use AC to solve this problem ?
Jan
4
awarded  Enlightened
Jan
4
awarded  Nice Answer
Jan
3
accepted Laurent Polynomials
Jan
3
answered Laurent Polynomials
Jan
3
awarded  Teacher
Jan
3
accepted The Average of Orders
Jan
3
answered The Average of Orders
Dec
30
awarded  Mortarboard
Dec
30
asked Measurable sets and Valuation Theory
Dec
30
awarded  Nice Question
Dec
30
asked Lattice of Prime ideals
Dec
30
revised Polynomials vs Power Series
Improved ; edited title
Dec
30
awarded  Commentator
Dec
30
comment Binary operation on subsets of rings
@David White: Thats what you think and you might be wrong.
Dec
30
comment Binary operation on subsets of rings
@Todd Trimble: yes, $*$ is associative.