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On stable noetherian rings [PDF]
A ring R is called stable if every localizing subcategory of R
Zoltán Papp
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Left Noetherian rings with differentially trivial proper quotient rings
We characterize left Noetherian rings with differentially trivial proper quotient rings.
O. D. Artemovych
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Homological Dimension in Noetherian Rings. [PDF]
Introduction. Throughout this paper it is assumed that all rings are commutative, noetherian rings with unit element and all modules are unitary. The major purpose of this paper is to extend to arbitrary noetherian rings the homological invariants which were introduced in [2] for local rings.
Auslander, Maurice, Buchsbaum, David A.
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On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings
Let 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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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
We characterize left Noetherian rings with differentially trivial proper quotient ...
Artemovych O.D.
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A COUNTEREXAMPLE IN NOETHERIAN RINGS [PDF]
Herstein IN.
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AN EXAMPLE IN NOETHERIAN RINGS [PDF]
Small LW.
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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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The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
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