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One can define different equivalence relations between algebras depending on what one want to study, but also these definitions may have their own life and not result as one expected...
Asked on 11/03/2021 by Marco Farinati
0 answerLet $F=F(H,H)$ be the space of bounded Fredholm operators in a Hilbert space $H$ with topology inherited from the norm operator topology, and let $X$ be a...
Asked on 11/03/2021 by Rodrigo Dias
1 answerI am looking for a $1$-dimensional non-Noetherian valuation domain $R$ such that there exists a sequence ${a_i}_{i=1}^infty$ of elements of $R$ such that $langle a_1rangle...
Asked on 11/03/2021 by S. T. Stanly
1 answerSo a wile back I managed to prove the The Remainder Theorem starting from the Archimidean property and since then I've thought what could be other results which can be...
Asked on 11/03/2021 by fisura filozofica
0 answerIt is a basic folklore fact from the area of additive combinatorics that a subset $A$ of an abelian group satisfies $|2A|<frac32,|A|$ if and only if $A$...
Asked on 11/03/2021 by Seva
0 answerFor a (discrete) monoid $M$, the classifying space $BM$ is thegeometric realization of the nerve of the one object category whosehom-set is $M$. (This definition gives the usual...
Asked on 11/03/2021 by Omar Antolín-Camarena
0 answerGood evening. I am looking into methods of generalization of Bernoulli polynomials. First, define $$Phi_{N,k}(x)=frac{1}{N}sum_{j=0}^{N-1}omega_N^{-jk}expleft(omega_N^jxright)$$ where $omega_N$ is the first $N$-th root of unity. The multiplicative...
Asked on 11/03/2021
0 answerSuppose $mathsf{k}$ is an algebraically closed field of zero characteristic. Chevalley-Shephard-Todd (C-S-T) Theorem in one of its equivalent versions is the following result: (C-S-T): Let $G$ be a...
Asked on 11/03/2021
0 answerLet $U$ be the set of all nonempty subsets of $[0,1]$ that are a union of finitely many closed intervals (where an "interval" that is a single...
Asked on 11/03/2021 by pi66
0 answerI am struggling for quite some time, because of a problem involving Radon-Nikodým derivatives. I will try to describe the main features and perhaps somebody has an idea how to...
Asked on 11/03/2021
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