query: Show that the left ideal $(N_G) \subset F[G]$ is a simple submodule of $F[G]$, where $N_G = {\sum}_{g \in G} {g} \in F[G]$.
positive_passages.docid: 152721
positive_passages.text: Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
negative_passages.docid: 114640
negative_passages.text: Showing that an ideal is not a free $R-$module.
negative_passages.docid: 137450
negative_passages.text: Two-sided ideal generated by subset of not commutative ring
negative_passages.docid: 45575
negative_passages.text: why each left ideal of this is minimal?
negative_passages.docid: 155745
negative_passages.text: Ideals of $\mathbb{Z}[X]$
negative_passages.docid: 34183
negative_passages.text: An equivalent condition with $\{0\}$ being the only nilpotent ideal
negative_passages.docid: 70872
negative_passages.text: Isomorphism of quotient modules implies isomorphism of submodules?
negative_passages.docid: 39049
negative_passages.text: Ring With Unity As a Direct Sum of Non-Zero Ideals
negative_passages.docid: 144572
negative_passages.text: Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
negative_passages.docid: 61383
negative_passages.text: How do I see that every left ideal of a square matrix ring over a field is principal?
negative_passages.docid: 33063
negative_passages.text: Are all simple left modules over a simple left artinian ring isomorphic?
negative_passages.docid: 52966
negative_passages.text: Rings, ideals and units-proof
negative_passages.docid: 15320
negative_passages.text: Morita equivalence and right and left ideals of a Ring
negative_passages.docid: 6115
negative_passages.text: Show that $GL_n(\mathbb{F})$ is a finite group iff $\mathbb{F}$ has a finite number of elements
negative_passages.docid: 5360
negative_passages.text: Ideal contained in a finite union of prime ideals
negative_passages.docid: 17239
negative_passages.text: Find all ideals of ${\mathbb{Z}_n}$
negative_passages.docid: 72640
negative_passages.text: $(m,n) = (\gcd(m,n))$ as ideals in $\Bbb Z$