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A Class Of Linear Extension Of Linear Extension Of Modules

Posted on:2015-10-31Degree:MasterType:Thesis
Country:ChinaCandidate:W T JiangFull Text:PDF
GTID:2180330434457109Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
let k be a algebraically closed field, Λ=Λ(V) be a Exterior algebra on the3-dimensional space V,with a group of base of a、b、c, over k.In this paper we study the extension of a class of special linear modules of complexity2over Exterior algebra Λ.The linear modules with a representation matrix: is represented by N(n,m, s),where, s is row mark of the first column in which c appears.This paper have proved the following theorem.Theorem3.8:let N be a linear extension of modules of linear modules of com-plexity2N(n1,m1, S1) with N(n2, m2, s2),then the number of class of isomorphism of such modules is not more than the number of element of a Ω space over k,2m2(n1+m1)+S1-1≤dim(Ω)≤2m2(n1+m1)+2(s2-1)+(s1-1)+n1We find the parameter space of extension of such two modules mainly by researching representation matrix of N...
Keywords/Search Tags:Exterior algebra, Linear module, Linear extension of modules
PDF Full Text Request
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