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

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Does Morita theory hint higher modules for noncommutative ring?

As explained for example here https://doi.org/10.1112/plms/s3-72.2.281 the most direct analogue of Morita equivalence for (connected) graded algebras actually boils down to graded isomorphism. However …
Jan Grabowski's user avatar
17 votes
3 answers
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Isomorphisms of quantum planes

Let $k$ be a field and $q\in k^{*}$. The quantum plane $k_{q}[x,y]$ is the algebra $k\langle x,y\rangle/\langle xy=qyx \rangle$ (i.e. the quotient of the free non-commutative $k$-algebra on two varia …
Jan Grabowski's user avatar