1) multiplicative band semiring
乘法带半环
1.
To study a class of idempotent semiring,so-called multiplicative band semirings whose additive reduct are semilattices and study multiplicative band semiring whose are rectanular band semirings,the structure theorem is given of multiplicative band semiring with belong to ID-semiring,ID∩■°D=■z∨■z∨D.
研究了加法半群为半格的半环类S+l中的乘法带半环和矩形带半环类BR中的乘法带半环;给出了ID半环中乘法带半环的结构定理,即ID∩。
2.
This paper investigates the multiplicative band semirings whose additive reduct are semilattices,by using the Green-D relation and gets the results of multiplicative band semirings,It proves that the D+-calsses of multiplicative band semirings are bi-rectangular bands.
研究了半格簇中的乘法带半环;利用Green-D关系,给出了乘法带半环的若干性质,证明了乘法带半环的D+-类一定是双矩形带,进一步得到了乘法带半环簇。
2) Multiplicative band semirings
乘法带半环
1.
Multiplicative band semirings whose additive reducts are semilattice are studied.
研究了加法半群为半格的乘法带半环,利用Green-D关系,得到了加法群为半格的乘法带半环的若干性质,证明了如果半环S的加法半群是半格,则S是乘法带半环当且仅当S是分配格,从而获得关于分配格的一个结构定理。
2.
In order to study the multiplicative band semirings which containing identity element,by studying distributive lattice,this paper obtaines some properties of multiplicative band semirings which containing identity element.
该文研究了一类幂等半环——含有幺元素的乘法带半环;从格与分配格的代数性质出发,得到了含幺乘法带半环的若干性质;证明了若S为含幺半环,则S是乘法带半环当且仅当S是分配格,从而获得了分配格的一个表示定理。
3.
,multiplicative band semirings which additive reducts are semilattice are studied in this paper.
研究了一类可表示为分配格的幂等半环,即加法半群为半格的乘法带半环;通过Green-D关系,得到了加法群为半格的乘法带半环的若干性质;证明了如果半环S的加法半群是半格,则S是乘法带半环当且仅当S是分配格;从而获得分配格结构的一种刻画。
3) Multiplicative normal semiring
乘法正规半环
4) multiplicative semigroup
乘法半群
1.
By a system of linear equations on multiplicative semigroup,we present a general mathematical method to solve the inverse lattice problems in physics.
用乘法半群上的线性方程组来求解晶体原子间对势反演的逆问题。
2.
In this paper, it is proved that if n≥2 and R is an effective semiring or a semiring in which all idempotents are central elements, then Φ:Tn(R)→Tn(R) is a multiplicative semigroup automorphism if and only if there exist a invertible G∈Tn(R) and a semiring automorphism τ of R such that Φ(A)=G-1τ(A)G for all A=(aij)n×n inTn(R).
证明了当R是一个幂等元都是中心元的半环时,映射Φ:Tn(R)→Tn(R)是乘法半群自同构当且仅当存在Tn(R)中的可逆矩阵G和R中的半环自同构τ使得A=(aij)n×n∈Tn(R),均有Φ(A)=G-1τ(A)G。
5) ring multiplication
环乘法
6) semi-multiplicative function
半乘法函数
1.
Let f be a semi-multiplicative function.
若f是一个半乘法函数,且有那么我们有 (ⅰ)。
补充资料：小乘法
【小乘法】
宣说四谛或十二因缘的道理的经典，如四部阿含经是。
宣说四谛或十二因缘的道理的经典，如四部阿含经是。
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