共查询到20条相似文献,搜索用时 62 毫秒
1.
利用Abdian范畴中子对象的交与并的性质,将模范畴中的蝴蝶结引理推广到Abelian范畴中,并据此证明了Abelian范畴中的Jordan-Holder定理. 相似文献
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通过拟Abelian范畴的局部类构造出函子范畴的局部类,进一步研究函子范畴的局部化范畴与局部化范畴的函子范畴之间的关系. 相似文献
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1引言1960年Meyer-Knig W.和Zeller K.在[6]中提出了Meyer-Knig-Zeller算子 相似文献
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本文在H lder范数生成的强拓扑下, 通过建立大偏差公式, 得到了k维布朗运动C-R型增量在H lder范数下的泛函极限定理. 相似文献
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本文在H lder范数生成的强拓扑下, 通过建立大偏差公式, 得到了k维布朗运动C-R型增量在H lder范数下的泛函极限定理. 相似文献
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在FC-空间中证明了一新的非空交定理.作为应用,一不动点定理,一极大元定理,一重合点定理和一些极小极大不等式被证明.这些定理推广了近期文献中的结果. 相似文献
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将Phelps引理, Ekeland变分原理, Pareto有效性定理推广到拓扑线性空间,同时证明了这三个定理与郑喜印证明的拓扑线性空间中的Drop定理彼此等价. 相似文献
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将Phelps引理,Ekland变分原理,Pareto有效性定理推广到拓扑线性空间,同时证明了这三个定理与郑喜印证明的拓扑线性空间中的Drop定理彼此等价. 相似文献
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A notion of mutation pairs of subcategories in an abelian category is defined in this article. For an extension closed subcategory 𝒵 and a rigid subcategory 𝒟 ? 𝒵, the subfactor category 𝒵/[𝒟] is also a triangulated category whenever (𝒵, 𝒵) forms a 𝒟-mutation pair. Moreover, if 𝒟 and 𝒵 satisfy certain conditions in modΛ, the category of finitely generated Λ-modules over an artin algebra Λ, the triangulated category 𝒵/[𝒟] has a Serre functor. 相似文献
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We consider a homology theory on a triangulated category with values in an abelian category. If the functor h reflects isomorphisms, is full and is such that for any object x in there is an object X in with an isomorphism between h(X) and x, we prove that is a hereditary abelian category, all idempotents in split and the kernel of h is a square zero ideal which as a bifunctor on is isomorphic to.
The second author is a researcher from CONICET, Argentina. 相似文献
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We show that each category enriched in Abelian groupoids is a linear track extension and hence is determined up to weak equivalence by a characteristic chomology class. We also discuss compatibility with coproducts. 相似文献
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Phùng Hô` 《Compositio Mathematica》2002,132(1):27-48
We show that, with some technical conditions, an Abelian monoidal category admits a monoidal embedding into the category of bimodules over a ring. The case of semisimple rigid monoidal categories is studied in more detail. 相似文献
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Zhi-Wei Li 《代数通讯》2013,41(9):3725-3753
Beligiannis and Marmaridis in 1994, constructed the one-sided triangulated structures on the stable categories of additive categories induced from some homologically finite subcategories. We extend their results to slightly more general settings. As an application of our results, we give some new examples of one-sided triangulated categories arising from abelian model categories. An interesting outcome is that we can describe the pretriangulated structures of the homotopy categories of abelian model categories via those of stable categories. 相似文献
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We show that if 𝒜 is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of a projective algebraic variety. This idea is applied to several important abelian categories in representation theory, like highest weight categories. 相似文献
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《Journal of Pure and Applied Algebra》2022,226(4):106862
We investigate how to characterize subcategories of abelian categories in terms of intrinsic axioms. In particular, we find axioms which characterize generating cogenerating functorially finite subcategories, precluster tilting subcategories, and cluster tilting subcategories of abelian categories. As a consequence we prove that any d-abelian category is equivalent to a d-cluster tilting subcategory of an abelian category, without any assumption on the categories being projectively generated. 相似文献
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Bruno Vallette 《Applied Categorical Structures》2009,17(1):43-61
We give an explicit construction of the free monoid in monoidal abelian categories when the monoidal product does not necessarily
preserve coproducts. Then we apply it to several new monoidal categories that appeared recently in the theory of Koszul duality
for operads and props. This gives a conceptual explanation of the form of the free operad, free dioperad and free properad.
相似文献