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Results tagged with noncommutative-algebra
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user 4213
Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras
16
votes
Accepted
Semisimple-ish rings!
By Zorn's lemma, each right ideal is contained in a maximal right ideal,
therefore if $I+J = R$ then $I+M = R$ where $M$ is a maximal right ideal.
If $I+M\ne R$ for all maximal right ideals $M$ then $ …
- 20.8k
6
votes
Accepted
Special subalgebras of central simple algebras
You want to know which algebras $A$ are such that $A\otimes B$ is central
simple for some algebra $B$.
(All algebras and tensor products being over $F$.) If $Z(A)$
and $Z(B)$ are the centres of $A$ a …
- 20.8k