These rings are now called Noetherian rings, and the structure they share is like a map that guides the mathematicians who ...

One significant area of recent research is the persistence of homology over commutative noetherian rings. Studies have identified new classes of noetherian local rings where certain conditions on ...

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 ...

A local Noetherian commutative ring is shown to be Artinian Gorenstein if every ideal within it is a trace ideal. This finding emphasizes the importance of trace ideals in determining the ...