query: A simple algebra that is not semisimple
positive_passages.docid: 28688
positive_passages.text: why is a simple ring not semisimple?
negative_passages.docid: 87382
negative_passages.text: Non-invertible elements form an ideal
negative_passages.docid: 85819
negative_passages.text: A non-polyhedral pair $(X,A)$ with both $X$ and $A$ polyhedral
negative_passages.docid: 147158
negative_passages.text: Galois group of a non-separable polynomial
negative_passages.docid: 21610
negative_passages.text: The monoid of fractions associated with the submonoid of cancellable elements of a commutative monoid E
negative_passages.docid: 1686
negative_passages.text: Show that quotient rings are not isomorphic
negative_passages.docid: 127304
negative_passages.text: Understanding the algebra of polynomials on a linear space
negative_passages.docid: 38817
negative_passages.text: Why is the ring of matrices over a field simple?
negative_passages.docid: 78873
negative_passages.text: How to show that the monomials are not a Schauder basis for $C[0,1]$
negative_passages.docid: 39049
negative_passages.text: Ring With Unity As a Direct Sum of Non-Zero Ideals
negative_passages.docid: 40996
negative_passages.text: Proving that free modules are flat (without appealing projective modules)
negative_passages.docid: 152457
negative_passages.text: $\mathbb Z_n$ is semisimple iff $n$ is square free
negative_passages.docid: 152766
negative_passages.text: 3-dim simple complex Lie algebra
negative_passages.docid: 76749
negative_passages.text: Example of a finite non-commutative ring without a unity
negative_passages.docid: 18036
negative_passages.text: Localization by a non-nilpotent as a polynomial quotient
negative_passages.docid: 137450
negative_passages.text: Two-sided ideal generated by subset of not commutative ring
negative_passages.docid: 86667
negative_passages.text: Is the 1-Dimensional Lie algebra Simple?