| 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 aã€bã€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... |