منابع مشابه
Annihilator-small Right Ideals
A right ideal A of a ring R is called annihilator-small if A+ T = R; T a right ideal, implies that l(T ) = 0; where l( ) indicates the left annihilator. The sum Ar of all such right ideals turns out to be a two-sided ideal that contains the Jacobson radical and the left singular ideal, and is contained in the ideal generated by the total of the ring. The ideal Ar is studied, conditions when it ...
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The LOMOPLAN (LOcal MOnoPLane ANnihilator) lter in three dimensions is a deconvolution lter that takes a volume in and produces two volumes out. The x-output volume results from a rst order prediction-error lter on the x-axis, and the y-output volume is likewise on the y-axis. Synthetic data studies are promising.
متن کاملAnnihilator-small submodules
Let $M_R$ be a module with $S=End(M_R)$. We call a submodule $K$ of $M_R$ annihilator-small if $K+T=M$, $T$ a submodule of $M_R$, implies that $ell_S(T)=0$, where $ell_S$ indicates the left annihilator of $T$ over $S$. The sum $A_R(M)$ of all such submodules of $M_R$ contains the Jacobson radical $Rad(M)$ and the left singular submodule $Z_S(M)$. If $M_R$ is cyclic, then $A_R(M)$ is the unique ...
متن کاملModules Determined by Their Annihilator Classes
We present a classification of those finite length modules X over a ring A which are isomorphic to every module Y of the same length such that Ker(HomA(−, X)) = Ker(HomA(−, Y )), i.e. X is determined by its length and the torsion pair cogenerated by X. We also prove the dual result using the torsion pair generated by X. For A right hereditary, we prove an analogous classification using the coto...
متن کاملHierarchies of Distributive Lattices Satisfying Annihilator Conditions
The purpose of this paper is the generalization and unification of results due to Cornish [4], Lee [11] and Mandelker [12] concerning distributive lattices satisfying various annihilator conditions. The notation 3) [2)Q, 2}Qt J is used to denote the set of distributive lattices [with zero, with zero and unit]. We denote the set of pseudocomplemented lattices in ^o, I by 38 a, the set of members...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2005
ISSN: 0040-8735
DOI: 10.2748/tmj/1140727072