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合成代数
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  composition algebra
     mod A. We denote T=mod A4\(P0∪L∞). In this paper, we get a triangular decomposition structure P0·J·L∞for the composition algebra C(A) of A.
     mod A记T=mod A\(P0∪L∞).本文证明A的合成代数C(A)具有形为P0·J·L∞的三角分解.
短句来源
     In this paper, we define some operators on tubular category, and some properties of these operators have been studied. We give a formula of the structural constants FML,N for Hall algebra of cyclic serial algebra. By using these operators and this formula, we get some centralizers of composition algebra C(T) and the simesimple module [l(?)
     本文定义了管范畴上的一些算子,研究了它们的一些性质,给出了循环单列代数的Ringel-Hall代数H(T)的结构常数FML,N的一个计算公式.利用这些算子和这个公式,我们得到了其合成代数C(T)及半单模[l(?)
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  composition algebras
     Composition Algebras of Tubular Algebras of Type T(2,2,2,2)
     T(2,2,2,2)型tubular代数的合成代数
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  synthetic generations
     THE EFFECT OF INOCULATING CRYSTALS OF DIFFERENT SYNTHETIC GENERATIONS ON THE CHARACTERISTICS OF ZSM-5 ZEOLITES
     在ZSM-5沸石合成中合成代数对沸石合成重复性的研究
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  “合成代数”译为未确定词的双语例句
     Let A be the hereditary algebra of type A11 over a finite field (A) and C(A) bepreinjective) A -modules ) and is the subalgebra generated by the regular elements of C(A).
     设A是有限域上的型的遗传代数,(A)和C(A)分别表示A的Ringel-Hall代数和合成代数.该文证明了C(A)=其中和分别表示由预投射模和预内射模生成的子代数,是由C(A)中的正则元素生成的子代数.
短句来源
     i=1nSi](l∈Z+) in H(T). In fact, they are the central elements of H(T) and the algebraically independent generators of H(T) over C(T).
     i=1nSi](t∈Z+)在H(T)中的一些中心化子.事实上,它们是H(T)的中心元素,且是H(T)在其合成代数C(T)上代数无关的生成元.
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      composition algebra
    Because of the canonical isomorphism between the Drinfeld-Jimbo quantum group and the generic composition algebra, our algorithm is applicable directly to quantum groups.
          
    We show, that a simple quadratic algebra with the right (left) inverse property for invertible elements is a composition algebra.
          
    In particular, it is shown that the hermitian level of a composition algebra with standard involution over a semilocal ring, where two is invertible, is always a power of two when finite.
          
    Furthermore, any power of two can occur as the hermitian level of a composition algebra with non-standard involution.
          
    Some bounds are obtained for the hermitian level of a composition algebra with involution of the second kind.
          
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      composition algebras
    Ternary composition algebras: 8 dimensions out of 4
          
    The commutative algebras satisfying the "adjoint identity": , where N is a cubic form, are shown to be related to a class of generically algebraic Jordan algebras of degree at most 4 and to the pseudo-composition algebras.
          
    Classical composition algebras, with a unit element, are well-known and can be obtained by means of the Cayley-Dickson doubling process.
          
    However, it is shown in this paper that if such a weak condition as the associativity of third powers of any element is imposed, only the known flexible composition algebras appear.
          
    The hermitian level of composition algebras with involution over a ring is studied.
          
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    The characteristics of the ZSM-5 zeolites obtained with the inoculating crystals of different synthetic generations in amine system and aqueous ammonia system wert investigated. It was showed that the reprpducibility of the characterisics of zeolites was better for amine system than aqueous ammonia system. It might be due to the face that the templating effect in the former was stronger than that in the latter. Howtver, good reproducibility in aqueous ammonia system was obtained if amine syntheeized zeolites...

    The characteristics of the ZSM-5 zeolites obtained with the inoculating crystals of different synthetic generations in amine system and aqueous ammonia system wert investigated. It was showed that the reprpducibility of the characterisics of zeolites was better for amine system than aqueous ammonia system. It might be due to the face that the templating effect in the former was stronger than that in the latter. Howtver, good reproducibility in aqueous ammonia system was obtained if amine syntheeized zeolites were used as the inoculating crystals.

    本文主要考察了在有机胺体系与氨水体系中随合成代数增加合成沸石的重复性,在氨水体系中合成沸石的重复性不如在有机胺体系中的好,说明有机胺较氨水“模板作用”大一些。用有机胺合成的沸石作晶种在氨水体系中合成沸石也可得到良好的重复性。

    Let A be the hereditary algebra of type A11 over a finite field (A) and C(A) bepreinjective) A -modules ) and is the subalgebra generated by the regular elements of C(A).

    设A是有限域上的型的遗传代数,(A)和C(A)分别表示A的Ringel-Hall代数和合成代数.该文证明了C(A)=其中和分别表示由预投射模和预内射模生成的子代数,是由C(A)中的正则元素生成的子代数.

    Let A = k A be the path algebra of an affine quiver A over a finite field k, with minimal imaginary root n, and C(A) the corresponding composition algebra. By the work of C. Ringel and J. Green, C(A) relates the representation theory of A with the. quantum groups. It has been proved in [11] that C(A) has a triangular decomposition corresponding to the division of the indecomposables into the preprojectives, the regulars, and the preinjectives. However, the proof there needs the assumption that there exists a...

    Let A = k A be the path algebra of an affine quiver A over a finite field k, with minimal imaginary root n, and C(A) the corresponding composition algebra. By the work of C. Ringel and J. Green, C(A) relates the representation theory of A with the. quantum groups. It has been proved in [11] that C(A) has a triangular decomposition corresponding to the division of the indecomposables into the preprojectives, the regulars, and the preinjectives. However, the proof there needs the assumption that there exists a homogeneous quasi-simple with dimension vector n, and hence it fails for |k| = 2 and of type Dn and Em (m = 6,7,8). The aim of this paper is to give a new proof of this result in which the assumption can be dropped. In this way, a triangular decomposition of C(A) independent of k are obtained.

    设是一个仿射箭图,它的极小虚单根为n.设k是一个有限域,记A=k为k上关于箭图的路代数,而记C(A)为关于A的合成代数.由C.Ringel和J.Green的工作,C(A)揭示了A的表示与量子群有密切的关系.文[11]证明了对应于A的不可分解表示可以分成预投射,正则,和预内射三个部分,C(A)具有一个三角分解.[11]中的证明需要假设维数向量为n的拟单模存在,而对于|k|=2,是n型和m型(m=6,7,8)的情形,此假设不满足,本文的目的是给出一个简化的,而且不需要前面所提假设的证明.由此,得到一个与域k无关的C(A)的三角分解.

     
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