Results 141 to 150 of about 187 (172)
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A Condition for Artinian Rings to be Noetherian
Canadian Journal of Mathematics, 1978Throughout 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, 1973If 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, 1981Our 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, 1981Montgomery, S., Small, L. W.
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On the notion of Cohen–Macaulayness for non-Noetherian rings
Journal of Algebra, 2009Massoud Tousi, Mohsen Asgharzadeh
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