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关键词： 18M05   18M20  

摘要： We propose a conjectural extension in the positive characteristic case of well known Deligne's theorem on the existence of super fiber functors. We prove our conjecture in the special case of semisimple categories with finitely many isomorphism classes of simple objects.

关键词： Ecosystem services   Analytic hierarchy process   Spatial analysis   Management categories   Carijos Ecological Station  

摘要： This study proposes a novel methodology to define protected area (PA) categories based on the analysis of how much a PA can protect important ecosystem services (ESs). PA are important tools to minimize the continuing global biodiversity conservation crisis. However, the contribution of PA to conservation is variable, mainly due to the diverse management categories with which they can be associated. In order to support the assignment of a PA to a management category, a multicriteria analysis (MCA) strategy was developed. Essentially, it consisted of the application of an analytic hierarchy process (AHP) and its association to management categories that could support the conservation of the most significant ESs. To test the methodology, the framework was applied to the Carijos Ecological Station (ESEC Carijos), Santa Catarina, Brazil, and its surrounding area of influence. Using the IUCN list of categories for the case study, it was found that IUCN Ia and IV could be the most efficient measures to protect important ESs at ESEC Carijos. Although the methodology was applied to a particular case, it could be employed worldwide, establishing the best category to be assigned to an existing or proposed potential PA.

关键词： Lagrangian cobordisms   Stable infinity-categories  

摘要： Given an exact symplectic manifold M and a support Lagrangian Lambda subset of M, we construct an infinity-category Lag(Lambda)(M) which we conjecture to be equivalent (after specialization of the coefficients) to the partially wrapped Fukaya category of M relative to Lambda. Roughly speaking, the objects of Lag(Lambda)(M) are Lagrangian branes inside of M x T*R-n, for large n, and the morphisms are Lagrangian cobordisms that are non-characteristic with respect to Lambda. The main theorem of this paper is that Lag(Lambda)(M) is a stable infinity-category, and in particular its homotopy category is triangulated, with mapping cones given by an elementary construction. The shift functor is equivalent to the familiar shift of grading for Lagrangian branes. (C) 2020 Elsevier Inc. All rights reserved.

关键词： Fusion category   Drinfeld centre   2-Fold monoidal   Category theory  

摘要： We show that the Drinfeld centre of a symmetric fusion category over an algebraically closed field of characteristic zero is a bilax 2-fold monoidal category. That is, it carries two monoidal structures, the convolution and symmetric tensor products, that are bilax monoidal functors with respect to each other. We additionally show that the braiding and symmetry for the convolution and symmetric tensor products are compatible with this bilax structure. We establish these properties without referring to Tannaka duality for the symmetric fusion category. This has the advantage that all constructions are done purely in terms of the fusion category structure, making the result easy to use in other contexts. (C) 2020 Elsevier Inc. All rights reserved.

关键词： -■   派生词缀   统词词缀   副词型词尾  

摘要： 本稿试图考察‘形容词语基+-?’形副词语中‘-■’的语法范畴。对于‘-■’的语法范畴存在着派生词缀说、统词词缀说、副词型词尾说等多种看法,而本稿支持第一种看法,即派生词缀说。

关键词： 哈萨克语   程度   语法范畴   语法手段  

摘要： 哈萨克语中表示程度的语法范畴不仅存在于形容词和副词中,也存在于部分名词、数词、代词中。本文对各词类表示程度的语法手段与其表示的语法意义进行归类,从而可以看出哈萨克语表示程度的语法范畴的丰富性和多样性。

关键词： Triangulated categories   Cluster tilting subcategories   Abelian categories  

摘要： Let C be a triangulated category with a Serre functor S and X a non-zero contravariantly finite rigid subcategory of C. Then X is cluster tilting if and only if the quotient category C/X is abelian and S(X) = X[2]. As an application, this result generalizes the work by Beligiannis. (C) 2020 Elsevier Inc. All rights reserved.

关键词： 逻辑   形而上学   明证性   范畴   辩证法  

摘要： 西方形而上学与逻辑的本质关联起源于语言上对系词的追问。逻辑学整体上可以分为无内容的逻辑与有内容的逻辑。无内容的逻辑即是以亚里士多德所创立的形式逻辑为开端,经中世纪经院哲学发展,在现代通过弗雷格、罗素、逻辑实证主义及分析哲学发展到顶峰的纯粹形式化的符号系统。它将形而上学消解于语言符号的结构分析中;有内容的逻辑以亚里士多德范畴论划分存在的不同等级为开端,近代经康德先验逻辑确立了范畴与感性直观的先天关联及黑格尔以思辨逻辑揭示了存在自身证成的内在机制。海德格尔以胡塞尔对范畴直观的描述为引线,在有限性的"此在"之在世存在的生存方式上,指出形而上学是逻辑学的基础而不是相反。马克思将通达形而上意义的辩证法复归人的感性实践,打破了辩证法的神秘性和理论性,澄清了形而上学逻辑的现实基础。

关键词： 快   诗学批评   范畴   阐释  

摘要： 本文意在阐释"快"的诗学内涵,同时对其在诗学批评中的特殊位置、确定和展开情况进行分析、勾勒。由于语义复杂,"快"作为诗学术语,不能简单地划分到某一类诗学范畴中。它自唐代进入诗评领域,在宋代被广泛使用,同时诗家对其也开始了理论反思,至明清时期,在频繁运用中,反思指摘之论渐多。在进行诗学批评时,"快"的正面涵义丰富,体现在创作上的下笔迅快,风格上的语辞流利,节奏快畅并以此显现出清逸俊爽的明朗色调,在抒情说意上又是表示一种直接、直白的表达、书写方式。尽管如此,"快"因为易缺乏委曲沉著之致也常为诗家所诟病。它虽称不上是诗史演变的风标,但也一定程度上反映了诗家审美取向的转变。相比其他诗学范畴,"快"的正面价值可以涵盖整个诗歌创作到接受的过程,可以形容整个过程的美感,这也正是"快"这一诗学批评术语最为特殊的价值所在。