# chatish

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## Registered User

 Name chatish Member for 4 months Seen May 15 at 13:08 Website Location Age
 May15 asked A New Analytic Inequality May6 awarded ● Good Question Apr27 comment A Property of Finite Rings @Tom: I see. Thank You. Apr22 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 ?! Feb18 accepted A question on primitive rings Feb18 answered A question on primitive rings Feb15 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. Feb15 comment on the Axiom of Choice and the Spectrum of Rings @François: By zero-dimensional I mean every prime ideal is maximal. Feb15 asked on the Axiom of Choice and the Spectrum of Rings Feb13 awarded ● Nice Question Feb9 awarded ● Nice Question Feb1 awarded ● Good Answer Feb1 awarded ● Nice Question Jan23 awarded ● Nice Question Jan22 asked Mathematics with the negation of AC Jan21 awarded ● Nice Answer Jan18 awarded ● Nice Question Jan18 awarded ● Nice Question Jan17 awarded ● Nice Question Jan16 comment The set of orders of elements in a group Thanks. The references where helpful. Jan16 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. Jan16 asked The set of orders of elements in a group Jan13 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. Jan13 comment Number of Maximal Left Ideals @Martin: Right, thanks. Lets continue: How about reduced rings ? Do you have any reduced example ? Jan13 asked Number of Maximal Left Ideals Jan12 revised Is it necessary to use AC to solve this problem ?improved Jan9 revised Direct product of rings Edited Title Jan8 awarded ● Nice Question Jan8 awarded ● Enlightened Jan8 awarded ● Nice Answer Jan8 accepted Maximal Ideals in $R[x]$ Jan7 answered Maximal Ideals in $R[x]$ Jan6 awarded ● Nice Question Jan6 comment Is it necessary to use AC to solve this problem ?@Clinton: Very Nice. $A$ is the transfers of the Cantor ternary set. Jan5 asked Is it necessary to use AC to solve this problem ? Jan4 awarded ● Enlightened Jan4 awarded ● Nice Answer Jan3 accepted Laurent Polynomials Jan3 answered Laurent Polynomials Jan3 awarded ● Teacher Jan3 accepted The Average of Orders Jan3 answered The Average of Orders Dec30 awarded ● Mortarboard Dec30 asked Measurable sets and Valuation Theory Dec30 awarded ● Nice Question Dec30 asked Lattice of Prime ideals Dec30 revised Polynomials vs Power SeriesImproved ; edited title Dec30 awarded ● Commentator Dec30 comment Binary operation on subsets of rings@David White: Thats what you think and you might be wrong. Dec30 comment Binary operation on subsets of rings@Todd Trimble: yes, $*$ is associative.