Almost split sequences for symmetric non-semisimple Hopf algebras

INTRODUCTION Almost split sequences, also called Auslander- Reiten sequences, were discovered by Auslander et al.(1995) for finitely generated modules over a finite- dimensional (artin) algebra and play an important role in other settings as well. While the proof of the exis-tence of almost split sequences for arbitrary artin algebras (see Section 1 of Chapter V in (Auslander et al., 1995)) is fairly constructive, it is sometimes pos-sible to give other ways of constructing almost spli…     

WD-代数

作为差代数的推广，本引入了WD－代数的概念，给出了它的基本性质，建立了WD－代数与有序交换半群的联系。     

"云空未必空"--解读《红楼梦》"因空见色""自色悟空"

解读"因空见色"自色悟空"应摆脱"色"空"观念的束缚,不为字面意思所惑,才能理解其真义."自色悟空"表现了空空道人的理性思考.经此一"悟",他才如酣梦惊觉,认识和信仰翻然生变,原来厚地高天,自古及今,人间之"至情"无时不在,佛家所谓"色"空",实为自家心造的幻影.由此解悟,空空道人才易道为僧,改名情僧,改<石头记>为<情僧录>.作者匠心独运,于开卷处巧妙地映现了宝玉的精神面影,暗示了<红楼梦>的创作主旨.     

有限维局部代数上的矩阵的秩及其应用（英文）

证明通常矩阵的可逆与满秩是等价的这一事实可以推广到有限维局部交换代数上的矩阵代数.作为一个应用,我们给出经典McCoy’s定理的一个简单证明.     

山东平原出土北齐天保七年石造像内容辨析

2007年9月27日,山东德州市平原出土一件北齐天保七年石造像,底座右立面的内容被定为"太子出四门游观图".本文依据经典记载,通过对犍陀罗到我国中原地区相关造像的比较,认为该造像底座右立面表现的是儒童菩萨本生故事.     

矗立在世俗文学中的两座高峰——张恨水、 张爱玲比较研究

在现代通俗文学史上有两座绕不过去的高峰：张恨水和张爱玲。对其进行比较研究就会发他们其实是存在相同和相异之处：他们都深受中国古典文学的熏陶，但程度方面却有差别；他们都执著于女性形象的刻画，但表现方面却大相径庭。     

顶点算子超代数及其模的根

设V是一个顶点算子超代数,M是一个可容许的V-模.刻划了V的M-根(V是CFT型的),并给出了一个可容许V-模不可约性的差别准则.     

一类Block李代数的自同构群

研究了一类Block李代数的自同构,刻划了此类李代数的自同构群。     

Study of silica nanoparticles – polysiloxane hydrophobic treatments for stone-based monument protection

The growing interest in the conservation of historic buildings encourages the development of water-repellent materials and methodologies to consolidate and/or protect stones. Recently, particular attention was devoted to composites of inorganic oxides nanoparticles and hybrid siloxane or silicone polymers. Here we present a study on the water repellence of a thin protective coating obtained through sol-gel process starting from Glymo and Dynasylan 40®, and loading the silicate matrix with nano-sized silica particles (Aeroxide LE1® -Degussa-Evonik). The coatings were applied to limestone, sandstone and granite samples. The silica nanoparticles have been characterized by XRD, the siloxane matrix through micro-Raman spectroscopy, while the surface morphology was examined by SEM. The efficacy of the treatments has been evaluated through static contact angle measurements and capillary water absorption. The optical appearance of the coatings was evaluated by colorimetric measurements. Nanoparticles at suitable concentration gave high values for the static contact angle (up to ∼ 150°), for all stone species even for four months exposure to atmospheric conditions. The coatings, in the water capillary absorption tests, however, behave as expected only for granite even if the long-term water direct contact reduces the hydrophobicity.     

<<郎官石柱题名考>>金部官补正

《郎官石柱题名考》是清人赵钺、劳格撰写的一部学术巨著。其的搜集之完备与考订之精审,向为后代学者所赞叹。然近代以来,地下材料出土甚多,可以补充与订正该书的阙误。