1) generalized quasi-direct product
广拟直积
1.
Then,as a special case of the generalized quasi-direct product, the quasi-direct product and the left(right) semi quasi-direct product, as well as their relations are discussed.
文中先给出了半群的广拟直积的概念，并讨论了它的基本性质，广拟直积给出了一种非常广泛的半群合成方式。
2) quasi-direct product
拟直积
1.
Further, we proved that every normal orthodox semigroup with inverse transversals is isomorphic to the quasi-direct product of a left normal band,an inverse semigroup and a right normal band.
得到了具有逆断面的正规纯正半群的构造方法,证明了具有逆断面的正规纯正半群同构于左正规带、逆半群和右正规带的拟直积。
2.
We generalize the structure of quasi-direct product to eventually regular semigroups and characterize the new definition of quasi-direct product on eventually regular semigroups, so we obtain the structure and nature of an eventually regular semigroup whose idempotents satisfy permutation identities.
然后把拟直积的结构推广到π-正则半群上,构造出π-正则半群S上拟直积新的定义,从而得出幂等元满足置换等式的π-正则半群的结构及其一些相关性质。
3) direct product of generalized function
广义函数直积
4) direct product of generalized functions
广义函数的直积
5) semiquasi-direct product
左(右)半拟直积
6) subdirect product of distributive lattice and skew-ring
分配格和拟环的次直积
1.
The least skew-ring congruence on E-inversive E-semiring is described,and the structure of a class of E-inversive E-semiring is obtained,which is the subdirect product of distributive lattice and skew-ring.
首先引入和描述了E-逆E半环上的最小拟环同余,然后刻画了是分配格和拟环的次直积的E-逆E半环。
补充资料：半直积
半直积
semi-direct product
【补注】A乘以B的半直积通常记作B冈A或B:A.石生明译王杰校半直积[胭顽一面eCt pr仪IuCt;no几ynp“Moe npo“3哪e-““e]，群A乘以群B的 群G=AB，是它的子群A及B的积，其中B是G的正规子群且A门B二{1}.若A也在G中正规，则半直积成为直积(direct Pr以luCt).两个群AB的半直积不是唯一决定的.为构造半直积还应知道A的元素在B上的共扼作用诱导出B的哪些自同构.精确地说，设G二AB是半直积，则对每个元素“任A，对应到自同构:。〔AutB，它是由元素a作共扼: :。(b)=aba一’，b任B.这里，对应a~:。是A~AutB的同态.反之，设A及B是任意群，则对任何同态p:A~AutB有群A乘以群B的唯一半直积，满足:。“印(a)，对任意a‘A.半直积是群B被群A所扩张的特殊情况(见群的扩张(e刀比nsion of agro印));这样的扩张称为分裂的(sPlit).
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