2) left(right)π-coideal
左(右)π-余理想
3) π-ideals
π-理想
1.
This paper introduces five notions, including π-algebras, π-ideals, Hopf π-algebras, π-modules and Hopf π-modules, verifies the fundamental isomorphism theorem of π-algebras and studies some algebraic properties of Hopf π-algebras as well.
引进了π-代数,π-理想,Hopfπ-代数,π-模,Hopfπ-模等概念,证明了π-代数上的基本同构定理并研究了Hopfπ-代数的一些代数性质。
4) left(right)π-ideal
左(右)π-理想
5) ideal conucleus
理想余核
1.
From the view of algebra,the concrete constructions of ideals and ideal conuclei on right-sided and idempotent Quantale are studied,and it is proved that every ideal is a principal ideal and every ideal conucleus is simple.
从代数角度研究了右侧幂等Quantale中的理想和理想余核的具体结构,并且证明了右侧幂等Quantale中的理想和理想余核分别是主理想和简单理想余核。
2.
Some of the properties of pre-Girard quantale and the relation between nuclei and conuclei on pre-Girard quantale are studied,the definition of the ideal conucleus is simplified,some of the properties of ideal conuclei are discussed,and the concrete constructions of ideal conuclei on right-sided and idempotent quantales are given.
研究了预Girard quantale的性质以及在预Girard quantale上核映射与余核映射之间的关系,简化了理想余核的定义,讨论了理想余核的一些性质,给出了右侧幂等quantale上所有理想余核的具体刻画。
6) congruence ideal
同余理想
1.
In this paper,on the basis of the ideals of double Stone algebra,the congruence ideals of double Stone algebra are given.
在给出双Stone代数的理想的基础上,给出了双Stone代数的同余理想。
2.
And a necessary and sufficient condition that ideal I=(b] is a congruence ideal is obtained.
给出PMS-代数L的主同余θ(0,b)及θ(a,1)的一个新的刻划,利用这个刻划,得到理想I=(d]是同余理想的充要条件,从而断定L的同余理想只能是正则理想。
3.
In this paper,we describe the characterization of the smallest congruence extensions of ideals in a Fuzzy lattice: suppose F is Fuzzy lattice, I is an ideal of F, let( T_c(I))={x∈F|d∈I, such that x∧d′≤d∧d′},then T_c(I) is the smallest congruence ideal containing I.
刻画了Fuzzy格中理想的最小同余扩张,设I为Fuzzy格F的任一理想,令Tc(I)={x∈F| d∈I,使得x∧d′≤d∧d′},则Tc(I)是F中包含I的最小同余理想。
补充资料：π, π-conjugation
分子式：
CAS号：
性质：单键和双键相互交替排列的共轭体系。最简单的为1,3-丁二烯，而苯分子则是一个具有高度对称结构的闭合共轭体系。除碳碳双键外，碳碳叁键、碳氧双键等，都可组成π,π-共轭。例如：CH2＝CH—C≡CH；CH2＝CH—CH＝O。由π,π-共轭引起的使分子内能降低、键长发生平均化等电子效应，称为π,π-共轭效应。
CAS号：
性质：单键和双键相互交替排列的共轭体系。最简单的为1,3-丁二烯，而苯分子则是一个具有高度对称结构的闭合共轭体系。除碳碳双键外，碳碳叁键、碳氧双键等，都可组成π,π-共轭。例如：CH2＝CH—C≡CH；CH2＝CH—CH＝O。由π,π-共轭引起的使分子内能降低、键长发生平均化等电子效应，称为π,π-共轭效应。
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参考词条