Marco Damele’s Blog

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The Diophantine equation x²-y³=7.

Jan 12, 2025

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by

Marco Damele

in Un pò di matematica
If m is odd and n a natural number (2ᵐ-1,2ⁿ+1)=1.

Dec 23, 2024

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by

Marco Damele

in Un pò di matematica
There is no group G such that G’=D2n, for n≥3.

Nov 5, 2024

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by

Marco Damele

in Un pò di matematica
If R is a local ring then R[[x]] is local.

Nov 3, 2024

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by

Marco Damele

in Un pò di matematica
Let R be a local ring and a,b in R such that (a)=(b). Prove that there exists a unit r of R such that a=rb.

Oct 31, 2024

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by

Marco Damele

in Un pò di matematica
If f∈ℤ[x,y] generete only prime, then f is constant.

Oct 31, 2024

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by

Marco Damele

in Un pò di matematica
Is it true that any closed set of an arbitrary topological space X is the boundary of some subset of X?

Oct 13, 2024

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by

Marco Damele

in Un pò di matematica
Let F be a field. Can F be realized as a quotient of ℤ[i] ?

Oct 11, 2024

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by

Marco Damele

in Un pò di matematica
Let K be an algebraically closed field and a,b n×n matrices over K. Then ab and ba have the same characteristics polynomial.

Oct 9, 2024

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by

Marco Damele

in Un pò di matematica
For which n≥2 there is m∈ℕ such that SO(n)≅RPᵐ ?

Sep 5, 2024

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by

Marco Damele

in Un pò di matematica