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The Duality of the Formal Local Homology Together With The Edge Ideal of a Graph |
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PP: 285-292 |
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doi:10.18576/amis/120202
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Author(s) |
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Carlos Henrique Tognon,
Catarina Mendes de Jesus,
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Abstract |
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| In this paper, is discuted about the formal local homology module and the formal local cohomology module, this last which
is the dual of the formal local homology module. For the definition of this two modules are used the definitions of the local cohomology
module with respect to an ideal and of the local homology module with respect to an ideal, where this modules are mencioned in
the text. Also are put some connection between the formal local cohomology module and the formal local homology module, using
some results of the theory of commutative algebra. Moreover, we involve the theory of graphs within of such modules achieving some
applications for the edge ideal of a graph. |
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