Results 151 to 160 of about 600,300 (198)

Modules With Artinian Prime Factors [PDF]

open access: yesProceedings of the American Mathematical Society, 1980
An R -module M has Artinian prime factors if M /
Efraim Pacillas Armendariz
exaly   +4 more sources

Artinian Local Cohomology Modules

open access: yesCanadian Mathematical Bulletin, 2007
Let R be a commutative Noetherian ring, α an ideal of R and M a finitely generated R-module. Let t be a non-negative integer. It is known that if the local cohomology module is finitely generated for all i < t, then is finitely generated.
Siamak Yassemi, Parviz Sahandi
exaly   +2 more sources

Krull-Schmidt Fails for Artinian Modules [PDF]

open access: yesProceedings of the American Mathematical Society, 1995
Krull asked in 1932 whether the Krull-Schmidt theorem holds for Artinian modules, i.e. whether \(M_1\oplus\dots\oplus M_m\cong N_1\oplus\dots\oplus N_n\) with each \(M_i\) and \(N_j\) indecomposable Artinian right \(R\)-modules, for some given ring \(R\), implies that \(m=n\) and \(M_i\cong N_{\sigma(i)}\) for some permutation \(\sigma\) of \(\{1,\dots,
Alberto Facchini   +2 more
exaly   +3 more sources
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On Bounded Artinian-Finitary Modules

International Journal of Algebra and Computation, 2007
Let G be a group, R be a ring and A be an RG-module. We say that A is an Artinian-finitary module overRG if for every element g ∈ G, the factor-module A/CA(g) is an Artinian R-module. The study of these modules was initiated by Wehrfritz. If D is a Dedekind domain and U is an Artinian D-module, then we can associate with U some numerical invariants ...
Leonid Andreevich Kurdachenko
exaly   +2 more sources

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