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Results tagged with ideals
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user 85967
3
votes
Accepted
left ideals in Lie super algebras
The linear spans of $[a,x]$ and $[x,a]$, in a Lie superalgebra (i.e. a $\mathbb{Z}_2$-graded Lie algebra) are generally not the same (unlike the Lie algebras case):
Since $\mathfrak a$ is not a grade …
- 7,746
5
votes
1
answer
1k
views
Ideal generated by two univariate, coprime, integer polynomials
Let $f(x)$, $g(x)$ be two univariate, coprime, integer polynomials and let $I=\big(f(x),g(x)\big)$ the ideal of $\mathbb{Z}[x]$ generated by $f, g$. Let $I \cap \mathbb{Z}$, that is, the elements of $ …
- 7,746
3
votes
Ideal structure of a tensor product of certain algebras
Well, i do not know the answer in general but since you are asking for a reference and if
there are some conditions on $A$ and $B$ that guarantee these are the only non-trivial ideals of $A \otimes …
- 7,746