Results 161 to 170 of about 708,128 (192)

Differentiation for Orders and Artinian Rings

Algebras and Representation Theory, 2004
Let \(R\) be a complete valuation domain. Given an \(R\)-order \(\Lambda\), we denote by \(\Lambda\text{-lat}\) the category of left \(\Lambda\)-lattices, that is, finitely generated left \(\Lambda\)-modules that are \(R\)-free. In his recent papers [J. Pure Appl. Algebra 153, No. 2, 171-190 (2000; Zbl 0964.16016) and Colloq. Math. 89, No.
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The prüfer rings that are endomorphism rings of artinian modules

Communications in Algebra, 1994
In this paper we characterize the (commutative) Priifer rings that can be realized as endomorphism rings of artinian modules over arbitrary associative rings with identity (Theorem 4.7). This characterization is obtained by determining the structure of ∑-pure-injective modules over Prufer rings (Theorems 3.4 and 3.5)
CAMPS R, FACCHINI, ALBERTO
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Symmetrics in simple Artinian rings

1990
The authors prove four results about symmetric elements in simple Artinian rings with involution. Let R be a simple Artinian ring with involution *, char \(R\neq 2\), Z the center of R, and \(S=\{r\in R|\) \(r^*=r\}\). The four results assume that \(S\not\subset Z\) and that R is not \(M_ 2(GF(3))\) with symplectic involution, and are: (1) If \(\dim_ ...
Lee, Pjek-Hwee, Lee, Tsung-Cherng
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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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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  

A note on artinian rings

Archiv der Mathematik, 1979
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Generalization of Artinian Rings and the Formal Power Series Rings

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