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Results tagged with noncommutative-rings
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user 11143
Questions about rings that are not necessarily commutative.
2
votes
0
answers
56
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Non-singular rings which are Rickart
A ring $R$ is said to be a right Rickart ring if the right annihilator of any element in $R$ is of the form $eR$ for some idempotent $e \in R$.
It turns out that a ring $R$ is right Rickart iff every …
- 1,065
0
votes
1
answer
392
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Non-simple and non-unital rings with trivial centres
Let $R$ be an associative and non-unital ring. (Suppose that $R$ is $s$-unital, i.e. for each $x\in R$ there is $u,v\in R$ such that $ux=xv=x$.)
It is not difficult to show that if $R$ is a simple ri …
- 1,065