1) maxi-regular ring
极大正则环
1.
In the noteS, the Partially order and xnaxhal elements are dab￣ It is shown that an element m∈R is maxial iff mk is maximal, and shown that a directly directly finite maxi-regular ring R is unit regular iff mR=mkR, for any maximal element m ∈R, given a sufficieng and necssary condition.
ｍ∈Ｒ是极大元的充要条件为ｍｋ是极大元，直有限的极大正则环是单位正则环的充要条件为ｍＲ＝ｍｋＲ（ｍ是任意极大元）。
2) minregular ring
极小正则环
3) maximal regular ideals
极大正则理想
1.
In this paper,we give the detailed discussion on the relation between the multiplicative linear functionals and the maximal regular ideals in any real Banach algebra,and generalizethe resultsin references [1 ]and[2 ].
本文详细刻划了任意实 Banach代数上乘法线性泛函与极大正则理想之间的关系 ,推广了文献 [1 ]和 [2 ]中的结
4) regular maximal left ideal
正则极大左理想
5) regular maximal ideal
正则极大理想
6) maximal regular subsemigroups
极大正则子半群
1.
The maximal regular subsemigroups of singular order-preserving transformation semigroups
奇异保序变换半群的极大正则子半群
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.
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参考词条