关于MHR一环的诣零子环

F.A.Szasz在六十年代初提出了MHR—环的概念即 定义 若结合环A对主右理想有极小条件则A叫做一个MHR一环。 1981年,在环根理论的专著[7]中,他提出了一个未解决的问题(问题43):MHR—环的每一个诣零子环都是局部幂零的吗? 本注将给出这个问题的肯定回答。 我们先作一点准备。     

A characteristic free approach to Brauer algebras

Brauer algebras arise in representation theory of orthogonal or symplectic groups. These algebras are shown to be iterated inflations of group algebras of symmetric groups. In particular, they are cellular (as had been shown before by Graham and Lehrer). This gives some information about block decomposition of Brauer algebras.

     

ON Δ-GOOD MODULE CATEGORIES OF QUASI-HEREDITARY ALGEBRAS

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Partition Algebras are Cellular

The partition algebra P(q) is a generalization both of the Brauer algebra and the Temperley–Lieb algebra for q-state n-site Potts models, underpining their transfer matrix formulation on the arbitrary transverse lattices. We prove that for arbitrary field k and any element q k the partition algebra P(q) is always cellular in the sense of Graham and Lehrer. Thus the representation theory of P(q) can be determined by applying the developed general representation theory on cellular algebras and symmetric groups. Our result also provides an explicit structure of P(q) for arbitrary field and implies the well-known fact that the Brauer algebra D(q) and the Temperley–Lieb algebra TL(q) are cellular.     

连通简单$r$-一致超图的约化

It is proved in this paper that if G is a simple connected r-uniform hypergraph with G ≥ 2, then G has an edge e such that G-e-V1(e) is also a simple connected r-uniform hypergraph. This reduction is naturally called a combined Graham reduction. Under the simple reductions of single edge removals and single edge contractions, the minor minimal connected simple r-uniform hypergraphs are also determined.     

盐酸介导策略合成的具有优异光催化能力的ZnFe2O4小颗粒点缀一维苝二酰亚胺S型异质结

由于有机材料的结构多样性,越来越多的研究者选择有机材料作为光催化剂.典型的n型有机半导体花二酰亚胺(PDI)不仅在可见光照射下有较强的光响应能力,而且有合适的带隙和负导带,使得光激发电子具有较强的还原能力.半导体光催化剂的适用性受到光生载流子复合的限制,而构建S型异质结可有效保证电荷分离,也可保证空穴和电子的强氧化能力...