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Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras

4 votes
1 answer
180 views

When is the essential extension commutes with colimits(or push forward)

Let $M$ be an $R$-module,where $R$ is a hereditary (or cohomological dimension less or equal to 1).Take $E(R)$ to be injective hull of $R$, then we have the essential extension $i:R^I\rightarrowtail …
Shizhuo Zhang's user avatar
24 votes
2 answers
3k views

What properties "should" spectrum of noncommutative ring have?

There are already a lot of discussion about the motivation for prime spectrum of commutative ring. In my perspective(highly non original), there are following reasons for the importance of prime spect …
Shizhuo Zhang's user avatar