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What is S-Noetherian Conditions for Polynomial Modules about?

This paper presents necessary and sufficient conditions for various polynomial and series modules, such as R[X]-module M[X] and R[[X]]-module M[[X]], to be S-Noetherian. It also discusses sufficient conditions for these modules to be S[X]-Noetherian, S[X, X −1]-Noetherian, S[[X]]-Noetherian, and S[[X, X −1]]-Noetherian. The results build on previous work in the field of algebra, particularly regarding Noetherian rings and modules.

Author
AZ ABABA
Language
EN

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