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Let $R$ be a commutative ring (with unit) and let $A := R[[x_1,x_2,x_3,\ldots]]$ be the formal power series ring over $R$ with a countably infinite set of...
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As usual, a $k$ smooth number is an integer that has no prime factor exceeding $k$. For each fixed constant $k$, let $A$ be the set of $k$ smooth numbers. The...
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I was not sure whether this question is appropriate for this forum, but a quick search suggests that there is at least some precedent for asking about the...
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Are there computer algebra tools available for verifying the Yang-Baxter equation?
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Then we say that an algebra $(X,f,g,\circ,1)$ is a Yang-Baxter monoid if it satisfies the following identities: $(X,\circ,1)$ is a monoid,...
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Is there a connected graph $G= (\omega,E)$ with the following properties? There are $2^{\aleph_0}$ isomorphisms $\varphi:G\to G$, and $K_\omega$ does not embed...
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