Noetherian-like properties in polynomial and power series rings
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DOI: 10.1016/j.jpaa.2018.12.015
Abstract: Abstract There are many Noetherian-like rings. Among them, we are interested in SFT-rings, piecewise Noetherian rings, and rings with Noetherian prime spectrum. Some of them are stable under polynomial extensions but none of them are… read more here.
Keywords: power series; rings noetherian; sft ring; power ... See more keywords
On right S-Noetherian rings and S-Noetherian modules
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DOI: 10.1080/00927872.2017.1332199
Abstract: ABSTRACT In this paper we study right S-Noetherian rings and modules, extending notions introduced by Anderson and Dumitrescu in commutative algebra to noncommutative rings. Two characterizations of right S-Noetherian rings are given in terms of… read more here.
Keywords: noetherian rings; noetherian modules; right noetherian; rings noetherian ... See more keywords