1) 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)。
2) τ-torsionfree codivisible cover
τ-挠自由余可除盖
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-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)。
4) τ-codivisible module
τ-余可除模
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。
5) torsion-free and cancellative monoid
挠自由可消幺半群
6) torsion-free
挠自由的
1.
Let N be a zero-symmetric prime nearring,got the following results:(ⅰ)If N is 2-torsion-free,d_1 and d_2 are derivatins of N,then the following three conditions are equivalent:(1)d_1d_2 is a derivation;(2)d_1(x)d_2(y)+d_2(x)d_1(y)=0,x,y∈N;(3)either d_1=0 or d_2=0.
设N是零对称的素拟环,证明了:(ⅰ)若N是2-挠自由的,d1,d2是N上的两个导子,则下列3条件等价:(1)d1d2是一个导子;(2)d1(x)d2(y)+d2(x)d1(y)=0,x,y∈N;(3)d1=0或d2=0。
补充资料：必然王国与自由王国(见必然与自由)
必然王国与自由王国(见必然与自由)
realm of necessity and realm of freedom
of口1 Iun Wongg口0 yU ZlyQU wangguo必然王国与自由王国(realmandrealm of freedom)necessity见必然与自由。
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