Modules determined by their annihilator classes
نویسندگان
چکیده
منابع مشابه
Modules 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...
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A multicone graph is defined to be join of a clique and a regular graph. A graph $ G $ is cospectral with graph $ H $ if their adjacency matrices have the same eigenvalues. A graph $ G $ is said to be determined by its spectrum or DS for short, if for any graph $ H $ with $ Spec(G)=Spec(H)$, we conclude that $ G $ is isomorphic to $ H $. In this paper, we present new classes of multicone graphs...
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a multicone graph is defined to be join of a clique and a regular graph. a graph $ g $ is cospectral with graph $ h $ if their adjacency matrices have the same eigenvalues. a graph $ g $ is said to be determined by its spectrum or ds for short, if for any graph $ h $ with $ spec(g)=spec(h)$, we conclude that $ g $ is isomorphic to $ h $. in this paper, we present new classes of multicone g...
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DEFINITION 1.1. For a finite subset Xc IR n + 1 we say that D is the dominating set of X if (a) Dc X, (b) for all x E X there exist dlo d2 , ••• , dj ED and positive real numbers alo"" aj so that L. a, = I and L. ajdj dominates x, (c) D is minimal with respect to these properties. The elements of D are called dominating vertices. It is not hard to see that D consists of exactly those vertices o...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2010
ISSN: 0024-6107
DOI: 10.1112/jlms/jdp065