【摘要】 设k是一个代数闭域,Λ=k[x,y]/(x2,xy,y3)是一个Gelfand-Ponomarev代数,A=(■×■,rad■,0)为其双模问题.本文确定了Mat(A)中维数向量为(n,n)的不可分解典范型的结构,并给出了计数公式;定义了A上的R-band,证明了A上的所有R-band与Λ的band等价类一一对应,A上的不可分解典范型与Λ上band-模的同构类一一对应.更多还原

【Abstract】 Let Λ be the Gelfand-Ponomarev algebra G2,3=k/(xy,x2,y3) over an algebraically closed field k;let A=(■×■,rad■,0) be the bimodule problem of Λ.The present paper determines the structure of the canonical forms of dimension vector(n,n) of Λ and calculate their numbers;defines a concept of R-band of Λ and shows that R-bands of Λ are exactly representatives of equivalent-classes of Λ bands.Therefore,there is a one-to-one correspondence of parameterized indecomposable canonical forms of A and the iso-classes of the band modules of Λ.更多还原