共查询到20条相似文献,搜索用时 203 毫秒
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本文研究了p-可除kG-模,这是一类由群阶的素数因子来控制的模类.利用Heller算子,证明了n次Heller算子置换非投射不可分解p-可除kG-模的同类;利用模的诱导和限制方法,证明了若H是G的强p-嵌入子群,则Green对应建立了不可分解p-可除kG-模的同构类与不可分解p-可除kH-模的同构类之间的一一对应.推广了不可分解相对投射kG-模上的Green对应. 相似文献
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本文研究了一类以Fermat素数为模的Dirichlet L-函数加权均值的计算问题. 利用初等方法以及Dirichlet 和的性质, 获得了一个有趣的计算公式. 相似文献
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In this paper, we consider the relations among L-fuzzy sets, rough sets and n-ary polygroup theory. Some properties of (normal) TL-fuzzy n-ary subpolygroups of an n-ary polygroup are first obtained. Using the concept of L-fuzzy sets, the notion of ϑ-lower and T-upper L-fuzzy rough approximation operators with respect to an L-fuzzy set is introduced and some related properties are presented. Then a new algebraic structure called (normal) TL-fuzzy rough n-ary polygroup is defined and investigated. Also, the (strong) homomorphism of ϑ-lower and T-upper L-fuzzy rough approximation operators is studied. 相似文献
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Jürgen Reinhold 《Applied Categorical Structures》2000,8(1-2):367-376
We discuss the question whether every finite interval in the lattice of all topologies on some set is isomorphic to an interval in the lattice of all topologies on a finite set – or, equivalently, whether the finite intervals in lattices of topologies are, up to isomorphism, exactly the duals of finite intervals in lattices of quasiorders. The answer to this question is in the affirmative at least for finite atomistic lattices. Applying recent results about intervals in lattices of quasiorders, we see that, for example, the five-element modular but non-distributive lattice cannot be an interval in the lattice of topologies. We show that a finite lattice whose greatest element is the join of two atoms is an interval of T
0-topologies iff it is the four-element Boolean lattice or the five-element non-modular lattice. But only the first of these two selfdual lattices is an interval of orders because order intervals are known to be dually locally distributive. 相似文献
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On L-fuzzy Ideals in Semirings I 总被引:1,自引:0,他引:1
In this paper we extend the concept of an L-fuzzy (characteristic) left (resp. right) ideal of a ring to a semiring R, and we show that each level left (resp. right) ideal of an .L-fuzzy left (resp. right) ideal of R is characteristic iff is L-fuzzy characteristic. 相似文献
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We suggest a method for selecting an L-simplex in an L-polyhedron of an n-lattice in Euclidean space. By taking into account the specific form of the condition that a simplex in the lattice is an L-simplex and by considering a simplex selected from an L-polyhedron, we present a new method for describing all types of L-polyhedra in lattices of given dimension n. We apply the method to deduce all types of L-polyhedra in n-dimensional lattices for n=2,3,4, which are already known from previous results. 相似文献
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We study some properties of L-fuzzy left (right) ideals of a semiring R related to level left (right) ideals 相似文献
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In 1968, Schmidt introduced the M
3[D] construction, an extension of the five-element modular nondistributive lattice M
3 by a bounded distributive lattice D, defined as the lattice of all triples satisfying . The lattice M
3[D] is a modular congruence-preserving extension of D.? In this paper, we investigate this construction for an arbitrary lattice L. For every n > 0, we exhibit an identity such that is modularity and is properly weaker than . Let M
n
denote the variety defined by , the variety of n-modular lattices. If L is n-modular, then M
3[L] is a lattice, in fact, a congruence-preserving extension of L; we also prove that, in this case, Id M
3[L]
M
3[Id L]. ? We provide an example of a lattice L such that M
3[L] is not a lattice. This example also provides a negative solution to a problem of Quackenbush: Is the tensor product of two lattices A and B with zero always a lattice. We complement this result by generalizing the M
3[L] construction to an M
4[L] construction. This yields, in particular, a bounded modular lattice L such that M
4
L is not a lattice, thus providing a negative solution to Quackenbush’s problem in the variety M of modular lattices.? Finally, we sharpen a result of Dilworth: Every finite distributive lattice can be represented as the
congruence lattice of a finite 3-modular lattice. We do this by verifying that a construction of Gr?tzer, Lakser, and Schmidt yields a 3-modular lattice.
Received May 26, 1998; accepted in final form October 7, 1998. 相似文献
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B. Davvaz 《Czechoslovak Mathematical Journal》2005,55(4):923-932
We investigate the structure and properties of TL-sub-semihypergroups, where T is an arbitrary triangular norm on a given complete lattice L. We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider
L = [0, 1] and T = min, and investigate the connection between TL-sub-semihypergroups and the probability space. 相似文献
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N. Kehayopulu 《Russian Mathematics (Iz VUZ)》2009,53(2):41-58
Following the well-known Schreier extension of groups, the (ideal) extension of semigroups (without order) have been first
considered by A. H. Clifford in Trans. Amer. Math. Soc. 68 (1950), with a detailed exposition of the theory in the monographs of Clifford-Preston and Petrich. The main theorem of the
ideal extensions of ordered semigroups has been considered by Kehayopulu and Tsingelis in Comm. Algebra 31 (2003). It is natural to examine the same problem for lattices. Following the ideal extensions of ordered semigroups, in
this paper we give the main theorem of the ideal extensions of lattices. Exactly as in the case of semigroups (ordered semigroups),
we approach the problem using translations. We start with a lattice L and a lattice K having a least element, and construct (all) the lattices V which have an ideal L′ which is isomorphic to L and the Rees quotient V|L′ is isomorphic to K. Conversely, we prove that each lattice which is an extension of L by K can be so constructed. An illustrative example is given at the end.
The text was submitted by the author in English. 相似文献
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Bing-yuan Cao 《Fuzzy Optimization and Decision Making》2008,7(4):317-329
With T-fuzzy data definition, properties and weigh-and-measure formula given and dimension unified by the aid of normal standardization,
first, the author discusses Min-Max (resp. Max-Min) transitive closure as well as α (or β) threshold value principle with a shortcut method produced for the cluster. Besides, he establishes a cluster analysis model
with T-fuzzy data, and gains an access to T-fuzzy data and two approaches to non-fuzzifying. Finally, he shows results generally in coincident with practice, by an example
in this paper. 相似文献
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In the case of completely distributive, complete lattices L the relations between L-fuzzy contiguity relations and L-fuzzy closure operators are investigated. In addition, if L is the real unit interval, L-fuzzy contiguity relations are represented by means of VD-contiguity relations, PT spaces and random VD-contiguity relations respectively. 相似文献