Some results are generalized from principally injective rings to principally injective modules. Moreover, it is proved that the results are valid to some other extended injectivity conditions which may be defined over modules. The influence of such injectivity conditions are studied for both the trace and the reject submodules of some modules over commutative rings. Finally, a correction is given to a paper related to the subject.
机构:
Ho Chi Minh Univ Banking, Fac Data Sci Business, 36 Ton That Dam St,Dist 1, Ho Chi Minh City, VietnamHo Chi Minh Univ Banking, Fac Data Sci Business, 36 Ton That Dam St,Dist 1, Ho Chi Minh City, Vietnam
机构:
Chinese Univ Hong Kong, Dept Math, Sha Tin 100083, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Math, Sha Tin 100083, Hong Kong, Peoples R China
Van Sanh, N
Shum, KP
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机构:
Chinese Univ Hong Kong, Dept Math, Sha Tin 100083, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Math, Sha Tin 100083, Hong Kong, Peoples R China