Results 11 to 20 of about 2,266 (207)
On stable noetherian rings [PDF]
Transactions of the American Mathematical Society, 1975 A ring R is called stable if every localizing subcategory of R
Zoltán Papp
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On Nonnil-S-Noetherian Rings [PDF]
Mathematics, 2020 Let R be a commutative ring with identity, and let S be a (not necessarily saturated) multiplicative subset of R. We define R to be a nonnil-S-Noetherian ring if each nonnil ideal of R is S-finite.
Min Jae Kwon, Jung Wook Lim
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On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib +2 more
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Canadian Mathematical Bulletin, 1976 In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings. Many of these relationships remain valid if one considers the much wider class of rings determined by the
Kenneth P. McDowell
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Left Noetherian rings with differentially trivial proper quotient rings [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2012 We characterize left Noetherian rings with differentially trivial proper quotient rings.
O. D. Artemovych
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Embedding Noetherian Rings in Artinian Rings [PDF]
Journal of Algebra, 2001 A well-known theorem of \textit{A. H. Schofield} [``Representation of rings over skew fields'', Lond. Math. Soc. Lect. Note Ser. 92, CUP, Cambridge (1985; Zbl 0571.16001)] asserts that an algebra \(A\) over a field can be embedded in a right Artinian ring if and only if there is a faithful Sylvester rank function on finitely presented \(A\)-modules. By
Krause, Günter
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, 2023 In this thesis we study a special class of rings called Noetherian rings. Theserings satisfy certain finite conditions on their ideals and appear in manydifferent fields of algebra. With an emphasis on commutative Noetherianrings we examine their structure and properties, their relation to anotherspecial class of rings called Artinian rings and the ...
Miramadi, Kevin
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Left Noetherian rings with differentially trivial proper quotient rings [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2009 We characterize left Noetherian rings with differentially trivial proper quotient ...
Artemovych O.D.
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Acyclic Complexes and Graded Algebras
Mathematics, 2023 We already know that the noncommutative N-graded Noetherian algebras resemble commutative local Noetherian rings in many respects. We also know that commutative rings have the important property that every minimal acyclic complex of finitely generated ...
Chaoyuan Zhou
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Pacific Journal of Mathematics, 1977 by a group of automorphisms of R. This paper explores what happens when the group is finite and the fixed ring S is assumed to be Noetherian Easy examples show that R may not be Noetherian; however, in this paper it is shown that R is Noetherian with some rather natural assuptions.
Farkas, Daniel R., Snider, Robert L.
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