1) right fp_n-regular ring
右fpn-正则环
1.
Based on these modules,it provides some characterizations of right coherent rings,right fp_n-hereditary rings and right fp_n-regular rings.
定义了比平坦模和FP-内射模更广的一类模,即fpn-内射模和fpn-平坦模,给出了其一些基本性质,并利用它们刻划了右coherent环、右fpn-遗传环和右fpn-正则环。
2) right fpn-injective ring
右fpn-内射环
3) right fpn-hereditary ring
右fpn-遗传环
1.
This paper mainly uses fpn-injective right R-modules to investigate fpn-injective covers,gives a characterization of the existences of monomorphic fpn-injective covers of right R-modules,and proves that every R-module M has a monomorphic fpn-injective cover :E→M if and only if R is a right fpn-hereditary ring.
通过fpn-内射模类来研究模的fpn-内射覆盖,给出了单的fpn-内射覆盖的存在性刻画,证明了每个右R-模M都有单的fpn-内射覆盖φ:E→M当且仅当环R为右fpn-遗传环。
4) right regular ring
右正则环
5) Right Weakly regular ring
右弱正则环
6) right generalized semiregular rings
右广义半正则环
补充资料：正则环
正则环
*-regular ring
‘正则环卜一佣.山r对l招;一pe口朋钾Oe劝则。J 带有对合反自同构俐~“*的正则环(仰Nh助-姗愈义下的)(比州肚nllg(谊the别级侣e ofvon卜犯u-~”，使得戊扩=0蕴涵“二0二正则环的幂等元。称为一个投影算子(p咧戊tor)，若。*二。.，正则环的每个左(右)理想由唯一的投影算子生成.这样可以谈到·正则环的投影算子的格.若格是完全的，则是一个连续几何(contjnuous罗。能好).一个有齐次基“t，…，a。(。)4)的有补模格(m团过肚妞-石ce)(亦见有补格(】atti优俪伍comPlemet出))是有正交补的格，当且仅当它同构于某个，正则环的投影算子的格.
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