journal6 ›› 2003, Vol. 24 ›› Issue (2): 77-78.

• Scientific research bulletin • Previous Articles     Next Articles

Characterizations of Subinjective Modules


  1. (Dept.of Math,Hubei Institute for Nationalities Enshi,Hubei 445000)
  • Online:2003-06-15 Published:2012-11-07

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

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