These rings are now called Noetherian rings, and the structure they share is like a map that guides the mathematicians who study them. Noetherian rings show up all the time in modern mathematics.

Noetherian modules and some of the language of exact complexes are introduced. In addition, standard topics - such as the Chinese Remainder Theorem, the Gauss Lemma, the Sylow Theorems, simplicity of ...

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 ...

Commutative algebra: localization, tensor products, rings and modules of fractions, integral extensions, Noetherian and Artinian rings, local rings, valuation rings, Dedekind domains, Hilbert basis ...