湖南师范大学自然科学学报
湖南師範大學自然科學學報
호남사범대학자연과학학보
ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NORMALIS HUNANENSIS
2012年
3期
1-5
,共5页
n-FC模%n-凝聚环%余挠理论%预包络%预覆盖
n-FC模%n-凝聚環%餘撓理論%預包絡%預覆蓋
n-FC모%n-응취배%여뇨이론%예포락%예복개
n-FC module%n-coherent ring%cotorsion theory%preenvelope%precover
引进了n-FC模的概念,给出了n-FC模的刻画,并利用余挠理论进一步研究了n-FC模的性质,证明了R是右n-凝聚环且RR是n-FC模当且仅当每个左R-模有单的Fn-预包络当且仅当(Fcn,Fc⊥n)是perfect余绕理论.
引進瞭n-FC模的概唸,給齣瞭n-FC模的刻畫,併利用餘撓理論進一步研究瞭n-FC模的性質,證明瞭R是右n-凝聚環且RR是n-FC模噹且僅噹每箇左R-模有單的Fn-預包絡噹且僅噹(Fcn,Fc⊥n)是perfect餘繞理論.
인진료n-FC모적개념,급출료n-FC모적각화,병이용여뇨이론진일보연구료n-FC모적성질,증명료R시우n-응취배차RR시n-FC모당차부당매개좌R-모유단적Fn-예포락당차부당(Fcn,Fc⊥n)시perfect여요이론.
The concept of n-FC modules is introduced.Some basic characterizations of n-FC modules are given,and some properties of n-FC modules are investigated by cotorsion theory.It is proved that R is right n-coherent and RR is n-FC if and only if very left R-module has a monic Fn-preenvelope if and only if ( Fcn,Fc⊥n ) is a perfect cotorsion theory.
