森田六元组的几乎分裂序列

Chinese Annals of Mathematics,Series A(2014)

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Abstract
令Λ1,Λ2为两个环,M是(Λ2-Λ1)-双模,且N是(Λ1-Λ2)-双模.六元组Г=(Λ1,Λ2,N,M,ψ,φ)是一个森田六元组.对于Г的表示,确定其几乎分裂序列(也称AR-序列)是非常重要的.通过mod Λ1和mod Λ2的右(左)几乎分裂同态、既约同态构造Г上的相应同态,并进一步确定它的几乎分裂序列.
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Key words
Rings,Morita context,Almost split sequence,Irreducible morphism
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