Results 161 to 170 of about 268 (184)

Characterizations of generalized noetherian rings

Acta Mathematica Hungarica, 1989
A ring with several objects is a small additive category \({\mathcal C}\). In this setting, the role of the module category is played by the category \(Ab^{{\mathcal C}}\) of additive functors \({\mathcal C}\to Ab\). Extending results of the first author [Acta Math. Acad. Sci. Hung.
Hannick, Francis T., Hewitt, Gloria C.
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A Condition for Artinian Rings to be Noetherian

Canadian Journal of Mathematics, 1978
Throughout this paper the word “Artinian (Noetherian) ring” means an associative ring with minimum (maximum) condition on left ideals. According to C. Hopkins, an Artinian ring is Noetherian if it contains a left or right identity [3, p. 728]. However we shall consider Artinian rings without the assumption of existence of such an identity, and the ...
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Idempotents in Noetherian Group Rings

Canadian Journal of Mathematics, 1973
If G is a torsion–free group and F is a field, is the group ring F[G] a ring without zero divisors? This is true if G is an ordered group or various generalizations thereof - beyond this the question remains untouched. This paper proves a related result.
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The Quotient Problem for Noetherian Rings

Canadian Journal of Mathematics, 1981
Our work was motivated by attempts to find a criterion for the existence of a classical quotient ring, for a noetherian ring, in analogy with the various known criteria for the existence of an artinian classical quotient ring ([9], [10], [13], [2]).We have restricted our attention to Krull symmetric noetherian rings R, and we make heavy use of the fact
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Fixed Rings of Noetherian Rings

Bulletin of the London Mathematical Society, 1981
Montgomery, S., Small, L. W.
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On Co-Noetherian Rings

Journal of the London Mathematical Society, 1969
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On Nonnil-S-Noetherian Rings

Mathematics, 2020
Jung Wook Lim
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S-Noetherian Properties of Composite Ring Extensions

Communications in Algebra, 2015
Dong Yeol Oh, Jung Wook Lim
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The cousin complex for a module over a commutative Noetherian ring

Mathematische Zeitschrift, 1969
Rodney Y Sharp
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Noetherian rings

2018
M. F. Atiyah, I. G. Macdonald
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