代数的定义 meaning in English
definition of algebra
Examples
- In the first section , we introduce some knowledge we need in this article . they are the definitions of quasitriangular hopf algebra . triangular hopf algebra . the theorem of the property of their modules category , and the property of r . in the second section
第一部分中，介绍了本文所需要的预备知识，主要是拟三角、三角hopf代数的定义，他们的模范畴的性质定理，以及r的性质。 - The main content of the present paper is as follow : in the first part , this paper gives the definition of lfi algebras and clfi algebras ; discusses the properties of fi algebras , theirs mp filters . lfi algebras and lfi algebras with embeddability
本文的主要内容如下：第一章：讨论了fi代数及其mp滤子的性质；给出了lfi代数及clfi代数的定义；讨论了lfi代数的性质；在此基础上，给出了lfi代数可嵌入于全序fi代数乘积的充要条件。 - For a given negatively graded lie superalgebra k - , the universal graded lie su - peralgebra u of type k - is defined and its existence proved . by posing additional conditions on k - , other types of universal graded lie superalgebras are defined and discussed . the concept of universal graded lie superalgebra leads naturally to the graded cartan type lie superalgrebras and it is proved that the graded cartan type lie superalgrebras k ( m , n , o > a ) , s ( m , n ) and h ( m , n ) can be characterized as certain types of universal graded lie superalgrebras
通过给k ~ -添加条件，又定义并讨论其它类型的泛阶化李超代数，进而，由泛阶化李超代数的定义自然地引出了阶化的cartan型李超代数，而且证得阶化的cartan型李超代数k ( m ， n ， _ a ) ， s ( m ， n )和h ( m ， n )分别可以被某种泛阶化李超代数所刻划。 - The second part builds a new algebra syetem rl , which in the definition of bl - algebra gets rid of the stronger condition and studies the properties of rl - algebra . in the same time , using rl - algebra as the true - value field this paper builds a more extentively formal deductive system of fuzzy prepositional calculus - - - - - - logic system rl . obtains a series of theorems , and studies the completeness of rl logic
第二部分：在以bl逻辑为背景的bl代数的定义中去掉限制性较强的条件a b = a ( a b ) ，建立了一种新的代数系统rl ，并进一步研究了rl代数类的性质；以rl代数为赋值域建立了一种更为广泛的模糊命题演算的形式系统? ?剩余格值逻辑系统rl ，得到了一系列定理，同时研究了逻辑系统rl的(弱)完备性