Results 151 to 160 of about 306,524 (177)

Stratiform Simple Artinian Rings

Proceedings of the London Mathematical Society, 1986
Various skew fields arise as the division rings of fractions of certain noetherian rings, such as the Weyl algebras or the group rings of polycyclic-by-finite groups. The purpose of the present paper is to provide some coherent theory for such skew fields. The important new concept that is introduced is that of a stratiform simple artinian ring S. Thus,
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Theories of Harada in Artinian Rings and Applications to Classical Artinian Rings

2001
In the early 1980s, Harada introduced extending and lifting properties for modules and, simultaneously, considered two new classes of artinian rings which contain QF-rings and Nakayama rings. The main purpose of this note is to survey his work and discuss its development and influence on the theory of rings and modules.
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Artinian and Noetherian Rings

1998
A ring R is called left (right) artinian if the set of all the left (right) ideals of R satisfies the dcc (descending chain condition) i.e. each strictly descending chain of left (right) ideals is finite (or equivalently, each non-void family of left (right) ideals contains a minimal element).
Grigore Cǎlugǎreanu, Peter Hamburg
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Hereditary artinian rings of finite representation type and extensions of simple artinian rings

Mathematical Proceedings of the Cambridge Philosophical Society, 1987
In [1], Dowbor, Ringel and Simson consider hereditary artinian rings of finite representation type; it is known that if A is an hereditary artinian algebra of finite representation type, finite-dimensional over a field, then it corresponds to a Dynkin diagram in a natural way; they show that an hereditary artinian ring of finite representation type ...
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A note on artinian rings

Archiv der Mathematik, 1979
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On Quasi‐Artinian Rings

Journal of the London Mathematical Society, 1971
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An Extension of S-Artinian Rings and Modules to a Hereditary Torsion Theory Setting

Communications in Algebra, 2021
Pascual Jara
exaly  

Generalization of Artinian Rings and the Formal Power Series Rings

Rendiconti Del Circolo Matematico Di Palermo, 2023
Ali Benhissi, Ahmed Hamed
exaly  

On the Existence of Maximal Subrings in Commutative Artinian Rings

Journal of Algebra and Its Applications, 2010
O A S Karamzadeh, Alborz Azarang
exaly  

Some characterizations of Artinian rings.

2011
Summary: We investigate rings in which the prime radical is an annihilator and present a characterization of Artinian rings satisfying this property. We also study rings in which the singular ideal and the prime radical coincide. Finally we show that Artinian rings are the direct product of a semiprime ring and a semiprime-free ring (ring in which ...
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