Morita环上的强Gorenstein投射模

Strongly Gorenstein-projective modules over Morita rings

H.Bass在其专著中引入了Morita环的概念,这类环包含了许多重要的代数的例子.考虑具有零双模同态的Morita环,找出相应的充要条件,从而确定出所有强完全投射分解以及所有具有零双模同态的Mortia环上的Gorenstein投射模.特别地,该结论可应用于上三角矩阵代数的情形.

Morita rings have been introduced by H.Bass in his famous monograph note.This class of rings contains a lot of good examples of algebras.In this paper,we considered Morita ring with zero bimodule homomorphisms.We determined all the strongly complete projective resolutions,and all the strongly Gorenstein projective modules,over Morita ring with zero bimodule homomorphisms,by finding out the corresponding sufficient and necessary conditions.In particular,our results can be applied to the upper triangle matrix algebras.