journal6 ›› 2003, Vol. 24 ›› Issue (2): 77-78.
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Abstract: This paper introduces the concept of subinjective dimension and obtains the nature of subinjective modules.Moreover subsemisimple ring,noether ring and hereditary ring are characteristiced.The main results are:(ⅰ)Any left R-module M is subinjective module if and only if SIdRM=0.(ⅱ)A ring R is subsemisimple ring if and only if SID(R)=0.(ⅲ)A ring R is Noether if and only if every subinjective module is injective.
Key words: subinjective modules, subinjective dimension;subsemisimple rings, noether rings, hereditary rings
ZHAN Jian-Ming. Characterizations of Subinjective Modules[J]. journal6, 2003, 24(2): 77-78.
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https://zkxb.jsu.edu.cn/EN/Y2003/V24/I2/77