共查询到20条相似文献,搜索用时 49 毫秒
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鉴于L-fuzzy集在理论上的重要性和应用上的广泛性,旨在建立L-fuzzy集理论的范畴基础与它的层表示,提出完备范畴中对象上的格值结构概念,这一概念是L-fuzzy结构在范畴层面上的提升,进一步提出完备范畴上格值结构提升范畴概念,证明了在集合范畴中L-fuzzy结构与格值结构是同构的.以集层、群层、环层和左R-模层以及Grothendieck层等概念为基础,提出完备范畴中对象上的层结构以及完备范畴上层结构提升范畴概念,证明了在集合范畴中L-fuzzy结构与层结构也是同构的. 相似文献
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在完全分配格的格值环境下,提供了L-fuzzifying拓扑结构和可延L-fuzzy拓扑结构相互转化的方法。还进一步研究了L-fuzzifying拓扑空间范畴和可延L-fuzzy拓扑空间范畴之间的关系。文中结果表明,L-fuzzifying拓扑空间范畴和可延L-fuzzy拓扑空间范畴之间存在Galois联络。 相似文献
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设是一个张量范畴,g和F均为上的张量余单子,p是一个余单子分配率.本文从FG的张量余单子结构和2-范畴的角度,描述了双余模范畴的张量结构,并给出了其做成张量范畴的一些充要条件. ’ 相似文献
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本文构造了在完备格上模糊集范畴.利用极小扩展原则和范畴的性质,获得了函子Uα构成集合范畴上的模结构,推广了P.Eklund的结论. 相似文献
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研究了pq (p, q为互不相同的素数)维顶点融合范畴的G-扩张,其中G是有限群,确定出它的所有可能的范畴型,并重点研究了G是n阶循环群?a?和3次对称群S3时各分支中单对象的分布情况.最后,在G-扩张具有辫子结构时给出了它的完全分类. 相似文献
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María José Arroyo Paniagua 《代数通讯》2017,45(4):1696-1710
Let G be a group. We analyse some aspects of the category G-Grp of G-groups. In particular, we show that a construction similar to the construction of the spectral category, due to Gabriel and Oberst, and its dual, due to the second author, is possible for the category G-Grp. 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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William H. Rowan 《Applied Categorical Structures》1998,6(1):63-86
We present two related categorical constructions. Given a category C, we construct a category C[d], the category of directed systems in C. C embeds into C[d], and if C has enough colimits, then C is monadic over C[d]. Also, if E,M is a factorization structure for C, then C[d] has a related factorization structure Ed Md such that if E consists entirely of monic arrows, then so does Ed and the Ed-quotient poset of an object A is naturally the poset of directed downsets of the E-quotient poset of A. Similarly, if M consists entirely of monicarrows, then so does Md and the Md-subobject poset of an object A is naturally the poset of directed downsets of the M-subobject poset. C[d] has completeness and cocompleteness properties at least as good as those of C, and it is abelian if C is. Dualization gives the other construction: a category C[i], the category of inverse systems in C, into which C also embeds and which satisfies similar properties, except that directed downsets in the E-quotient and M-subobject posets are replaced by directed upsets. 相似文献
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《Quaestiones Mathematicae》2013,36(3):397-403
We consider a generalised notion of category of fractions associated with a class Φ of permitted replacement situations between zig-zags in a category C. The Kleisli category associated with a monad [T, η, μ] in C is shown to be a special case in which the arrows {ηX X ? C} become left-invertible after passage to fractions. 相似文献
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Alexandru E. Stanculescu 《Applied Categorical Structures》2014,22(1):1-11
We establish a Quillen model category structure on the category of symmetric simplicial multicategories. This model structure extends the model structure on simplicial categories due to J. Bergner. 相似文献
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We investigate how the category of Doi-Hopf modules can be made into a monoidal category. It suffices that the algebra and coalgebra in question are both bialgebras with some extra compatibility relation. We study tensor identies for monoidal categories of Doi-Hopf modules. Finally, we construct braidings on a monoidal category of Doi-Hopf modules. Our construction unifies quasitriangular and coquasitriangular Hopf algebras, and Yetter-Drinfel'd modules. 相似文献
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给出定向完备偏序半群的定义,研究定向完备偏序半群在定向完备偏序集上的作用.探讨S-定向完备偏序集范畴的一些基本性质,并且证明以S-定向完备偏序集为对象,以S-Scott连续映射为态射的范畴是笛卡尔闭范畴. 相似文献
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The Category of S-Posets 总被引:3,自引:0,他引:3
In this paper, we consider some category-theoretic properties of the
category Pos-S of all S-posets (posets equipped with a compatible right action of a pomonoid S), with monotone action-preserving
maps between them. We first discuss some general category-theoretic ingredients of Pos-S; specifically, we characterize several
kinds of epimorphisms and monomorphisms. Then, we present some adjoint relations of Pos-S with Pos, Set, and Act-S. In particular,
we discuss free and cofree objects. We also examine other category-theoretic properties, such as cartesian closedness and
monadicity. Finally, we consider projectivity in Pos-S with respect to regular epimorphisms and show that it is the same asprojectivity,
although projectives are not generally retracts of free
objects over posets. 相似文献
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