相对投射与内射维数的若干注记(英文) |
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作者姓名: | 何东林 李煜彦 |
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作者单位: | Department of Mathematics,Longnan Teachers College |
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基金项目: | Supported by the 2019 Scientific Research Projects in Universities of Gansu Province(2019B-224); |
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摘 要: | ![]() Let R be an associative(not necessary commutative) ring. In this paper,we give some properties of Hom-faithful and Hom-cofaithful R-modules. We investigate Σ-self-orthogonal R-modules and PC-projective dimensions, and give a characterization when the inequality PC-pd V max{PC-pd U, PC-pd W } is strict for an exact sequence 0 → U → V → W → 0. Dually, we study Π-self-orthogonal modules and IC-injective dimensions, and give a similar characterization when...
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