共查询到20条相似文献,搜索用时 9 毫秒
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本文通过构造一类模线状李代数,求出了它的导子代数,并且证明这个导子代数是可解但不完备的模李代数.这将有利于研究一般模线状李代数的结构. 相似文献
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A Lax operator algebra is constructed for an arbitrary semi-simple Lie algebra over ? equipped with a ?-grading, and arbitrary compact Riemann surface with marked points. In this set-up, a treatment of almost graded structures, and classification of the central extensions of Lax operator algebras are given. A relation to the earlier approach based on the Tyurin parameters is established. 相似文献
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IVÁN ANGIONO 《Transformation Groups》2016,21(1):1-33
We formally define and study the distinguished pre-Nichols algebra \( \tilde{B} \)(V) of a braided vector space of diagonal type V with finite-dimensional Nichols algebra B(V). The algebra \( \tilde{B} \)(V) is presented by fewer relations than B(V), so it is intermediate between the tensor algebra T(V) and B(V). Prominent examples of distinguished pre-Nichols algebras are the positive parts of quantized enveloping (super)algebras and their multiparametric versions. We prove that these algebras give rise to new examples of Noetherian pointed Hopf algebras of finite Gelfand-Kirillov dimension. We investigate the kernel (in the sense of Hopf algebras) of the projection from \( \tilde{B} \)(V) to B(V), generalizing results of De Concini and Procesi on quantum groups at roots of unity. 相似文献
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Yao Musheng 《数学年刊B辑(英文版)》1984,5(2):163-168
In this paper some lattice isomorphism theorems about one-sided and two-sided ideals intensor products of primitive algebras and division algebras are proved. 相似文献
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胡庆平 《纯粹数学与应用数学》1996,12(2):47-51
定义了一族偏代数物积偏代数的概念,且对偏代数间的同态映射,由同态映射诱导的合同关系及由同态映射和合同关系诱导的合同关系与积偏代数一起作了深入的讨论,分别得到了一些有意义的结果。 相似文献
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Fang Jie 《数学年刊B辑(英文版)》1996,17(2):213-218
An algeber L is said to be simple, if its congruence lattice Con L reduces to the 2-elementchain {ω,v}. This paper describes the structure of finite simple Ockham algebras. 相似文献
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《Quaestiones Mathematicae》2013,36(2):93-100
Opgedra aan Prof. Hennie Schutte by geleentheid van sy sestigste verjaarsdag. Abstract A Boolean algebra is the algebraic version of a field of sets. The complex algebra C(B) of a Boolean algebra B is defined over the power set of B; it is a field of sets with extra operations. The notion of a second-order Boolean algebra is intended to be the algebraic version of the complex algebra of a Boolean algebra. To this end a representation theorem is proved. 相似文献
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《代数通讯》2013,41(12):5733-5753
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Let H be a finite-dimensional hereditary algebra over an algebraically closed field k and C F m be the repetitive cluster category of H with m ≥ 1. We investigate the properties of cluster tilting objects in C F m and the structure of repetitive clustertilted algebras. Moreover, we generalize Theorem 4.2 in [12] (Buan A, Marsh R, Reiten I. Cluster-tilted algebra, Trans. Amer. Math. Soc., 359(1)(2007), 323-332.) to the situation of C F m , and prove that the tilting graph KCFm of C F m is connected. 相似文献
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《代数通讯》2013,41(5):2229-2270
ABSTRACT Using some ideas of Brauer, we introduce what we call generalized Brauer algebras and, as a special case, Brauer orders. We show that many well-known classes of so-called crossed product algebras, and in particular, the well-known crossed product orders, can be obtained as special instances of our construction. We prove several results showing when Brauer orders are Azumaya, maximal, hereditary or Gorenstein. 相似文献