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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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Let $A$ be a $C^*$-algebra and $(a_{ij}) \in M_n(A)$ be a positive matrix. Does there exist a constant $C \ge 0$ (not depending on the $a_{ij}$) such that $$\lVert(a_{ij})\rVert \le C \Bigl\lVert\s...
Mathoverflow.net news digest
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0 days
Dennis trace for Efimov K-theory
In the paper, "A universal characterization of higher algebraic K-theory", available for example as arXiv:1001.2282, Blumberg, Gepner, and Tabuada give a characterization of the Dennis trace map $K \rightarrow HH$ as the unit $1 \in \pi_0 \operatorname...
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0 days
The inclusion of $\{x^2+y^2=1\}$ in $\mathbb{A}^2\setminus\{(0,0)\}$ does not ex...
Let $k$ be a field and $h := x^2 + y^2 - 1 \in k[x,y]$.
Consider the following purely algebraic statement (★):
There do not exist $P,Q \in k[x,y]$, generating the unit ideal in $k[x,y]$, such that $P \equiv x \pmod{h}$ and $Q \equiv y \pmod{h}$. -
6 days
Examples of good properties of modules over a zero-dimensional ring?
Let $A$ be a zero-dimensional ring. I am interested in examples showing how the topology of the ring (in this very simple case where the dimension is zero) may influence properties of modules. In particular, I am curious whether certain classes of modules...
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0 days
Is this manuscript related to Mathematics or Philosophy ? ( Potential New Open P...
Before diving deep into the work itself, i want to make a short introduction to the history of the manuscript ( history of why this manuscript is not accepted by academic journals ) which is the main thing that we will talk about.
I am an Electronics Communication Engineer, my main motive for such work wasnt for academic sense. I was planning to make calibration and testing depending on this "mathematical" (if you would call it) work. So dont assume that this work is solely done...
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