chatish
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Registered User
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May 15 |
asked | A New Analytic Inequality |
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May 6 |
awarded | ● Good Question |
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Apr 27 |
comment |
A Property of Finite Rings @Tom: I see. Thank You. |
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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 ?! |
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Feb 18 |
accepted | A question on primitive rings |
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Feb 18 |
answered | A question on primitive rings |
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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. |
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Feb 15 |
comment |
on the Axiom of Choice and the Spectrum of Rings @François: By zero-dimensional I mean every prime ideal is maximal. |
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Feb 15 |
asked | on the Axiom of Choice and the Spectrum of Rings |
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Feb 13 |
awarded | ● Nice Question |
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Feb 9 |
awarded | ● Nice Question |
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Feb 1 |
awarded | ● Good Answer |
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Feb 1 |
awarded | ● Nice Question |
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Jan 23 |
awarded | ● Nice Question |
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Jan 22 |
asked | Mathematics with the negation of AC |
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Jan 21 |
awarded | ● Nice Answer |
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Jan 18 |
awarded | ● Nice Question |
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Jan 18 |
awarded | ● Nice Question |
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Jan 17 |
awarded | ● Nice Question |
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Jan 16 |
comment |
The set of orders of elements in a group Thanks. The references where helpful. |
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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. |
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Jan 16 |
asked | The set of orders of elements in a group |
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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. |
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Jan 13 |
comment |
Number of Maximal Left Ideals @Martin: Right, thanks. Lets continue: How about reduced rings ? Do you have any reduced example ? |
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Jan 13 |
asked | Number of Maximal Left Ideals |
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Jan 12 |
revised |
Is it necessary to use AC to solve this problem ? improved |
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Jan 9 |
revised |
Direct product of rings Edited Title |
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Jan 8 |
awarded | ● Nice Question |
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Jan 8 |
awarded | ● Enlightened |
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Jan 8 |
awarded | ● Nice Answer |
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Jan 8 |
accepted | Maximal Ideals in $R[x]$ |
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Jan 7 |
answered | Maximal Ideals in $R[x]$ |
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Jan 6 |
awarded | ● Nice Question |
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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. |
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Jan 5 |
asked | Is it necessary to use AC to solve this problem ? |
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Jan 4 |
awarded | ● Enlightened |
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Jan 4 |
awarded | ● Nice Answer |
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Jan 3 |
accepted | Laurent Polynomials |
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Jan 3 |
answered | Laurent Polynomials |
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Jan 3 |
awarded | ● Teacher |
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Jan 3 |
accepted | The Average of Orders |
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Jan 3 |
answered | The Average of Orders |
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Dec 30 |
awarded | ● Mortarboard |
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Dec 30 |
asked | Measurable sets and Valuation Theory |
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Dec 30 |
awarded | ● Nice Question |
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Dec 30 |
asked | Lattice of Prime ideals |
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Dec 30 |
revised |
Polynomials vs Power Series Improved ; edited title |
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Dec 30 |
awarded | ● Commentator |
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Dec 30 |
comment |
Binary operation on subsets of rings @David White: Thats what you think and you might be wrong. |
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Dec 30 |
comment |
Binary operation on subsets of rings @Todd Trimble: yes, $*$ is associative. |

