query: Simple ring that is not semi-simple
positive_passages.docid: 151251
positive_passages.text: A simple algebra that is not semisimple
negative_passages.docid: 64025
negative_passages.text: Ring homomorphisms from $\Bbb Q$ into a ring
negative_passages.docid: 46843
negative_passages.text: A ring without the Invariant Basis Number property
negative_passages.docid: 18003
negative_passages.text: Standard example where Jacobson radical not equal nilradical
negative_passages.docid: 84751
negative_passages.text: How can it be possible to localize a ring at a set with zero divisors?
negative_passages.docid: 125661
negative_passages.text: Two problems about rings.
negative_passages.docid: 157863
negative_passages.text: A finite pseudo-ring such that $ab^2=b$ for some $(a,b)\in A$
negative_passages.docid: 145221
negative_passages.text: Ring isomorphism (polynomials in one variable)
negative_passages.docid: 30465
negative_passages.text: Determining which rings have a module which is not semisimple
negative_passages.docid: 91129
negative_passages.text: Can there be an onto homomorphism from a ring without unity to a ring with unity?
negative_passages.docid: 78053
negative_passages.text: There are at least three mutually non-isomorphic rings with $4$ elements?
negative_passages.docid: 155604
negative_passages.text: Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.
negative_passages.docid: 39576
negative_passages.text: Quotient ring being isomorphic to the initial ring
negative_passages.docid: 146276
negative_passages.text: Is there a ring such that the nilradical of it is not nilpotent?
negative_passages.docid: 116651
negative_passages.text: Show for any simple ring without identity, R, that R is a division ring.
negative_passages.docid: 24247
negative_passages.text: Ring Inside an Algebraic Field Extension
negative_passages.docid: 25764
negative_passages.text: Example of a ring such that $R^2\simeq R^3$, but $R\not\simeq R^2$ (as $R$-modules)