文档介绍：带算子环和TL-:1672—6987(2004)—03TL-带算子环和孔一带算理想孙绍权山东青岛266061)(青岛科技大学数理系,摘要:引入了TL-~i"-L一子环(理想)的充分必要条件,讨论了L-带算子环和孔一带算理想在带算同态下的像和逆像,并得到了TL-:TL-子环;TL-~A想;L-带算子环;TL-带算理想;带算同态中图分类号:0159文献标识码:ATL-SubringwithOperatorsandTL-IdealwithOperatorsSUNShao-quan(DepartmentofMathematicsandPhysics,QingdaoUniversityofScienceandTechnology,Qingdao266061,China)Abstract:TheconceptsofTL-subringwithoperatorsandTL-—L—subring(idea1)-imagesofL-subringwithopera—torsandTL-idealwithoperatorsunderahomomorphismwithoperatorsarestudiedandtwocharacteristicpropertiesofTL-:TL-subring;TL-ideal;TL-subringwithoperators;TL-idealwithoperators;homomorphismwithoperators文献[1]提出了环的Fuzzy子环和Fuzzy理想的概念,文献[2,3]讨论了Fuzzy商环,文献E43重新定义了Fuzzy商环,,提出了TL-,给出了带算子环和TL一带算理想的定义,,其最大元是1,最小元是0,T表示L上任意给定的无穷V一分配模[引,:2004—05—26作者篱介:孙绍权(1964~),男,,A是环R的Fuzzy集,如果对Yx,Y?R,有(1)A(0)=1;(2)A(一z)?A(z);(3)A(z+)?A(z)TA(y);(4)A(z)?A(z)TA(3,).(R),当丁一/\时,L(R)记为L(R).定义2E设A?TL(R),对,Y?R,如果A(z