In mathematics, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals; if the chain condition is satisfied only for left ideals or for right ideals, then ...

This introduction to noncommutative noetherian rings, accessible to anyone with a basic background in abstract algebra, can be used as a second-year graduate text, or as a self-contained reference.

First we gave a precise definition of when a finite module M over a Noetherian ring R is CM and when a Noetherian ring R is CM. Next, we defined embedded associated primes of M and embedded primes of ...

[BIM] Bhatt, Iyengar, Ma Regular rings and perfect(oid) algebras. It presents a p-adic analogue of Kunz's theorem which says that a Noetherian ring of characteristic \(p\) is regular if and only if ...

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Abstract: We consider the homotopy category of complexes of projective modules over a Noetherian ring. Truncation at degree zero induces a fully faithful triangle functor from the totally acyclic ...

Prof Bavula's research interests are noncommutative Noetherian rings and their modules (especially rings of differential operators and D-modules), dimensions (the Krull dimension, the global ...

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