共查询到20条相似文献,搜索用时 15 毫秒
1.
Mike Behrisch Miguel Couceiro Keith A. Kearnes Erkko Lehtonen ágnes Szendrei 《Order》2012,29(2):245-269
We describe which pairs of distributive lattice polynomial operations commute. 相似文献
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主要讨论分配格上的矩阵A的标准特征向量问题.从基本概念出发,给出了全部标准特征向量的计算方法。 相似文献
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完全分配格上的全有界一致结构与邻近结构 总被引:11,自引:0,他引:11
本文的目的是在具有逆序对合对应的完全分配格上研究点式(拟)一致结构与(拟)邻近中构的联系,证明了在全有界点式一致结构与邻近结构间存在一个一一对应关系。 相似文献
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设(L,≤,∨,∧)为一分配格。满足Ax=x的向量x称为方阵A的特征向量。本文的主工目的是通过矩阵的伴随有向图来刻画矩阵的特征向量并给出矩阵特征向量的界。同时我们将定义矩阵A的上基本特征向量并讨论它的性质。 相似文献
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The Semigroup of Hall Matrices over Distributive Lattices 总被引:3,自引:0,他引:3
Yijia Tan 《Semigroup Forum》2000,61(2):303-314
In this paper, the semigroup Hn (L) of Hall matrices over a complete and completely distributive lattice L is studied. A Hall matrix is a matrix which is greater (for the order associated with the lattice structure) than an invertible matrix. Some necessary and sufficient conditions for a Hall matrix to be regular in the semigroup Hn (L) are given and Green's relations of the semigroup Hn (L) are described. Also, the sandwich semigroup of Hall matrices over the lattice L is studied. 相似文献
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Complete Surjections and Complete Epimorphisms over Completely Distributive Lattices 总被引:1,自引:0,他引:1
Generators and lattice properties of the poset of complete homomorphisic images of a completely distributive lattice are exploited via the localic methods. Some intrinsic and extrinsic conditions about this poset to be a completely distributive lattice are given. It is shown that the category of completely distributive lattices is co-well-powered,and complete epimorphisms on completely distributive lattice are not necessary to be surjections. Finally, some conditions about complete epimorphisms to be surjections are given. 相似文献
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N. A. Bazhenov A. N. Frolov I. Sh. Kalimullin A. G. Melnikov 《Siberian Mathematical Journal》2017,58(6):959-970
The class of (not necessarily distributive) countable lattices is HKSS-universal, and it is also known that the class of countable linear orders is not universal with respect to degree spectra neither to computable categoricity. We investigate the intermediate class of distributive lattices and construct a distributive lattice with degree spectrum {d: d ≠ 0}. It is not known whether a linear order with this property exists. We show that there is a computably categorical distributive lattice that is not relatively Δ20-categorical. It is well known that no linear order can have this property. The question of the universality of countable distributive lattices remains open. 相似文献
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Bounded integral residuated lattices form a large class of algebras which contains algebraic counterparts of several propositional logics behind many-valued reasoning and intuitionistic logic. In the paper we introduce and investigate monadic bounded integral residuated lattices which can be taken as a generalization of algebraic models of the predicate calculi of those logics in which only a single variable occurs. 相似文献
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Christian Herrmann 《Order》2016,33(2):359-363
We prove the claim in the title based on failure of amalgamation for classes of non-distributive modular lattices. 相似文献
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The concept of a pseudo-complementation * on an almost distributive lattice (ADL) with 0 is introduced and it is proved that it is equationally definable. A one-to-one correspondence between the pseudo-complementations on an ADL L with 0 and maximal elements of L is obtained. It is also proved that L* = {a*|a L} is a Boolean algebra which is independent (upto isomorphism) of the pseudo-complementation * on L.AMS Subject Classification (1991): 06D99 06D15 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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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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On Polynomial Functions over Finite Commutative Rings 总被引:1,自引:0,他引:1
Jian Jun JIANG Guo Hua PENG Qi SUN Qi Fan ZHANG 《数学学报(英文版)》2006,22(4):1047-1050
Let R be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over R to be a polynomial function. Before this paper, necessary and sufficient conditions for a function to be a polynomial function over some special finite commutative local rings were obtained. 相似文献
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考察了扩张的有界分配格类eD即带有自同态k的有界分配格,研究了具有幂等性的eD-代数的表示、同余关系以及次直不可约性,证明了这样的代数类有5个互不同构的次直不可约的幂等扩张的有界分配格。 相似文献
20.
Xinxian Zheng 《代数通讯》2013,41(4):1361-1379
The free resolution and the Alexander dual of squarefree monomial ideals associated with certain subsets of distributive lattices are studied. 相似文献