1) τ-torsion injective hull
τ-挠内射包
1.
Introduce the corresponding concepts of cover and hull through Q gets the properties of τ-injective,τ-projective,τ-divisible and τ-codivisible,discuss the properties of τ-torsion injective hull, τ-torsion projective cover,τ-torsionfree divisible hull and τ-torsionfree codivisible cover, τ-injective hull E_τ(M) is characterized by using them.
讨论τ-挠内射包,τ-挠投射盖,τ-挠自由可除包和τ-挠自由余可除盖的性质,并利用它们刻画了τ-内射包Eτ(M)。
2) τ-torsion projective cover
τ-挠投射盖
1.
Introduce the corresponding concepts of cover and hull through Q gets the properties of τ-injective,τ-projective,τ-divisible and τ-codivisible,discuss the properties of τ-torsion injective hull, τ-torsion projective cover,τ-torsionfree divisible hull and τ-torsionfree codivisible cover, τ-injective hull E_τ(M) is characterized by using them.
讨论τ-挠内射包,τ-挠投射盖,τ-挠自由可除包和τ-挠自由余可除盖的性质,并利用它们刻画了τ-内射包Eτ(M)。
3) τ-torsionfree divisible hull
τ-挠自由可除包
1.
Introduce the corresponding concepts of cover and hull through Q gets the properties of τ-injective,τ-projective,τ-divisible and τ-codivisible,discuss the properties of τ-torsion injective hull, τ-torsion projective cover,τ-torsionfree divisible hull and τ-torsionfree codivisible cover, τ-injective hull E_τ(M) is characterized by using them.
讨论τ-挠内射包,τ-挠投射盖,τ-挠自由可除包和τ-挠自由余可除盖的性质,并利用它们刻画了τ-内射包Eτ(M)。
4) τ-injective module
τ-内射模
1.
In the paper,firstly,it study some properties of τ-codivisible module that are dual to τ-injective module;Secondly,it study relatively semisimple rings and left hereditary rings by τ-codivisible module.
首先研究了τ-余可除模的性质,揭示了τ-余可除模与τ-内射模是完全对偶的概念;其次利用τ-余可除模研究了相对于挠理论τ半单环、左遗传环的结构。
2.
In the paper,we prove Schanuel s lemma of relatively herediary torsion theory by τ-weak projective module and prove the dual of Schanuel s lemma by τ-injective module.
本文利用τ-弱投射模证明了相对于遗传挠理论的Schanuel’s引理成立;同时利用τ-内射模证明了Schanuel’s引理的对偶定理相对于遗传挠理论亦成立。
3.
In the paper, we describe when τ-weak projective modules are closed under taking homomorphic images, which is dual to τ-injective module; we also describe a distinguish theorem on τ-weak projective cover.
本文给出了与τ-内射模对偶的一类模,称为τ-弱投射模,关于商模封闭的条件;同时描述了τ-投射盖的概念,给出了关于τ-弱投射盖的一个判别定理。
5) completely τ-injective semigroups
完全τ-内射半群
1.
Using S-systematic method of semigroups,we characterize completely τ-injective semigroups,completely totally simple τ-Torsion injective semigroups and completely τ-Torsion projective semigroups,and generalize some relative results.
利用半群的Ｓ－系方法，刻画了完全τ－内射半群、完全全单τ－Ｔｏｒｓｉｏｎ内射半群以及完全τ－Ｔｏｒｓｉｏｎ投射半群，推广了有关相应的结
6) M-(σ,τ)injective modules
M-(σ,τ)内射模
补充资料：惜别行送刘仆射判官（仆射乃其主将刘乃仆射
【诗文】：
闻道南行市骏马，不限匹数军中须。襄阳幕府天下异，
主将俭省忧艰虞。只收壮健胜铁甲，岂因格斗求龙驹。
而今西北自反胡，骐驎荡尽一匹无。龙媒真种在帝都，
子孙永落西南隅。向非戎事备征伐，君肯辛苦越江湖。
江湖凡马多憔悴，衣冠往往乘蹇驴。梁公富贵于身疏，
号令明白人安居。俸钱时散士子尽，府库不为骄豪虚。
以兹报主寸心赤，气却西戎回北狄。罗网群马籍马多，
气在驱驰出金帛。刘侯奉使光推择，滔滔才略沧溟窄。
杜陵老翁秋系船，扶病相识长沙驿。强梳白发提胡卢，
手把菊花路旁摘。九州兵革浩茫茫，三叹聚散临重阳。
当杯对客忍流涕，君不觉老夫神内伤。
【注释】：
【出处】：
全唐诗：卷234_12
闻道南行市骏马，不限匹数军中须。襄阳幕府天下异，
主将俭省忧艰虞。只收壮健胜铁甲，岂因格斗求龙驹。
而今西北自反胡，骐驎荡尽一匹无。龙媒真种在帝都，
子孙永落西南隅。向非戎事备征伐，君肯辛苦越江湖。
江湖凡马多憔悴，衣冠往往乘蹇驴。梁公富贵于身疏，
号令明白人安居。俸钱时散士子尽，府库不为骄豪虚。
以兹报主寸心赤，气却西戎回北狄。罗网群马籍马多，
气在驱驰出金帛。刘侯奉使光推择，滔滔才略沧溟窄。
杜陵老翁秋系船，扶病相识长沙驿。强梳白发提胡卢，
手把菊花路旁摘。九州兵革浩茫茫，三叹聚散临重阳。
当杯对客忍流涕，君不觉老夫神内伤。
【注释】：
【出处】：
全唐诗：卷234_12
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条