共查询到20条相似文献,搜索用时 15 毫秒
1.
拟半连续格和交半连续格 总被引:1,自引:0,他引:1
作为半连续格的推广, 引入了拟半连续格的概念. 讨论了拟半连续格的基本性质. 在拟半连续格上得到了类似于拟连续偏序集的一些主要结果. 同时探讨了半连续格、拟半连续格、交半连续格、交连续格、强连续格几种不同结构之间的关系. 最后,讨论了半连续函数空间仍是半连续格的条件. 相似文献
2.
引入了强smooth格的概念,讨论了smooth格与强smooth格的一些基本性质,证明了强smooth格可用保任意交和Scott闭集之并的映射嵌入到某方体[0,1]X之中. 相似文献
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For a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C. We provide answers to the question above for C being, respectively,– the class of all finite lattices;– the class of all finite lower bounded lattices (solved by the first author's earlier work);– the class of all finite join-semidistributive lattices (this problem was, until now, open).We solve the latter problem by finding a quasi-identity valid in all finite, atomistic, biatomic, join-semidistributive lattices but not in all finite join-semidistributive lattices. 相似文献
4.
M. V. Semenova 《Algebra and Logic》2005,44(4):270-285
Various types of lattices are embedded in suborder lattices of posets possessing certain properties. In particular, it is shown that the class of lattices isomorphic to sublattices of suborder lattices of posets of length at most n is a variety, for any n < ω.Supported by INTAS-YSF grant 2001/1-65, by RFBR-DFG grant No. 01-01-04003, by RF Ministry of Education grant No. E02-1.0-32, by the Council for Grants (under RF President) and State Aid of Fundamental Science Schools, project NSh-2112.2003.1, and by a grant from the Russian Science Support Foundation.__________Translated from Algebra i Logika, Vol. 44, No. 4, pp. 483–511, July–August, 2005. 相似文献
5.
Benedek Skublics 《Order》2013,30(3):797-806
A lattice is said to be finite height generated if it is complete and every element is the join of some elements of finite height. Extending former results by Grätzer and Kiss (Order 2:351–365, 1986) on finite lattices, we prove that every finite height generated algebraic lattice that has a pseudorank function is isometrically embeddable into a geometric lattice. 相似文献
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在蕴涵格中引入了蕴涵滤子的概念 ,讨论了蕴涵滤子的一些基本性质 ,并由此建立了由素蕴涵滤子决定的同余关系及其商蕴涵格 ,以便为Fuzzy推理建立严格的逻辑基础作些必要的准备 . 相似文献
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In their work on spreading models in Banach spaces, Dilworth et al. (Isr J Math 161:387–411, 2007) introduced the notion of a Suslin lower semi-lattice, a seemingly slight weakening of the notion of a Suslin tree. They posed several problems of a set theoretic nature regarding their notion. In this paper, we make a systematic study of the notion of Suslin lower semi-lattice, answering some of the questions raised by Dilworth, Odell, and Sari. 相似文献
10.
Thomas McConville 《Order》2017,34(3):465-477
We call a finite lattice crosscut-simplicial if the crosscut complex of every nuclear interval is equal to the boundary of a simplex. Every interval of such a lattice is either contractible or homotopy equivalent to a sphere. Recently, Hersh and Mészáros introduced SB-labelings and proved that if a lattice has an SB-labeling then it is crosscut-simplicial. Some known examples of lattices with a natural SB-labeling include the join-distributive lattices, the weak order of a Coxeter group, and the Tamari lattice. Generalizing these three examples, we prove that every meet-semidistributive lattice is crosscut-simplicial, though we do not know whether all such lattices admit an SB-labeling. While not every crosscut-simplicial lattice is meet-semidistributive, we prove that these properties are equivalent for chamber posets of real hyperplane arrangements. 相似文献
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本文首先对 Banach格 E给出了条件,使得对任意非 Dedekind σ-完备的Banach格F,正则算子空间L~r(E,F)均是一Riesz空间.其次对Banach格F给出了一些刻划,使之每个由L_p-空间到F内的连续线性算子均是正则的.一些相关结果也得以讨论. 相似文献
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We introduce the class of bounded distributive lattices with two operators, Δ and ∇, the first between the lattice and the set of its ideals, and the second between the lattice and the set of its filters. The results presented can be understood as a generalization of the results obtained by S. Celani.
Jorge Castro: The work of the first author was partially supported by Grant BFM2001-3329 of D.G.I.C.Y.T. of Spain. 相似文献
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C. Jayaram 《Czechoslovak Mathematical Journal》2003,53(2):351-363
In this paper we investigate prime divisors, B
w-primes and zs-primes in C-lattices. Using them some new characterizations are given for compactly packed lattices. Next, we study Noetherian lattices and Laskerian lattices and characterize Laskerian lattices in terms of compactly packed lattices. 相似文献
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针对分配格与模格的格等式定义问题,得知了二条件是定义分配格与模格的最少条件,并进一步证明了Sholander's basis是定义分配格的最短最少变量格等式,最后又从分配格和模格的基本定义出发给出了新的分配格的二条件和三条件等价定义等式及模格的二条件与三条件等价定义等式. 相似文献
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Introduced by Akin and Davis in 1985, Austrian Solitaire is a two-parameter variation of the better known Bulgarian Solitaire that constrains part sizes. We count the valid states in Austrian Solitaire and also the number of states with no preimage, known as Garden of Eden states. Connecting these two quantities involves new results about preimages in the system. Our tools for this work include bijective proofs and generating functions. 相似文献
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In 2010,Gábor Czédli and E.Tamás Schmidt mentioned that the best cover-preserving embedding of a given semimodular lattice is not known yet [A cover-preserving embedding of semimodular lattices into geometric lattices.Advances in Mathematics,225,2455-2463(2010)].That is to say:What are the geometric lattices G such that a given finite semimodular lattice L has a cover-preserving embedding into G with the smallest |G|?In this paper,we propose an algorithm to calculate all the best extending cover... 相似文献
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剩余格与正则剩余格的特征定理 总被引:53,自引:2,他引:53
本文进一步研究了具有广泛应用的一类模糊逻辑代数系统——剩余格,并引入了正则剩余格的概念,对剩余格与正则剩余格的定义进行了讨论,给出了剩余格与正则剩余格的特征定理,其中包含剩余格与正则剩余格的等式特征,从而这两个格类都构成簇.本文还讨论了剩余格与正则剩余格公理系统的独立性,以及它们与相近代数结构的关系. 相似文献
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Jeffrey S. Olson 《Order》2014,31(3):373-389
An involutive residuated lattice (IRL) is a lattice-ordered monoid possessing residual operations and a dualizing element. We show that a large class of self-dual lattices may be endowed with an IRL structure, and give examples of lattices which fail to admit IRLs with natural algebraic conditions. A classification of all IRLs based on the modular lattices M n is provided. 相似文献
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我们在[1]与[2]中初步讨论了邻近格与半一致格,本文继续这一工作。本文保持[1]与[2]的记号及对格与映射所作的基本假定,但加*号的结论需用到以下附加条件: 1°所论的格如X上定义了分子集或X≤b。 2°所涉及的映射f:X→Y映X中的分子为Y中的分子。 本文通篇考虑映射族,X_t上定义了某种(同类的)结构。从拓扑结构理论通常的观点看来,以下定义是合适的: 相似文献