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Journal ArticleDOI

"Anneaux noetheriens a droite entiers sur un sous-anneau de leur centre"

Marc Chamarie, +1 more
- 01 Jan 1978 - 
- Vol. 6, Iss: 2, pp 203-222
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TLDR
In this paper, Anneaux noetheriens a droite entiers sur un sous-anneau de leur center, and the authors present an algebraic model of Anneaux's center.
Abstract
(1978). 'Anneaux noetheriens a droite entiers sur un sous-anneau de leur centre' Communications in Algebra: Vol. 6, No. 2, pp. 203-222.

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Citations
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Homologically homogeneous rings

TL;DR: In this article, the structure of a right Noetherian ring R of finite right global dimesion integral over a central subring C and satisfying the following condition: if V, W are irreducible right R-modules with rc( V) = rc( W) then pr dim (V)
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Noetherian Rings of Finite Global Dimension

TL;DR: In this article, it was shown that a right Noetherian local ring R of finite right global dimension is a prime ring when R is an AR-r1ng and provided theorems which generalise some of the basic results from the theory of commutative regular local rings.
References
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Des catégories abéliennes

TL;DR: The Bulletin de la S. M. F. as mentioned in this paper implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.html).
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Krull dimension-nilpotency and Gabriel dimension

TL;DR: In this article, the connection between the Krull dimension of a module and its ''Krull dimension'' as defined in [1], which is called its Gabriel dimension was established.
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Jacobson's conjecture and modules over fully bounded Noetherian rings

TL;DR: In this paper, the authors investigated finitely generated modules and injective modules over fully bounded Noetherian rings and showed that Jacobson's conjecture holds even for commutative Noetherians.
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Localization in non-commutative noetherian rings

TL;DR: In this paper, the symbolic powers of P are defined as the left and right symbolic powers, and the closure properties of these powers are discussed in terms of closure properties on ideals.