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We extend Exel’s ample tight groupoid construction to general locally compact étale groupoids in the Hausdorff case. Moreover, we show how inverse semigroups are represented in this way as ‘pseudobases’ of open bisections, thus yielding a duality which encompasses various extensions of the classic Stone duality. 相似文献
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In this paper Banach Limits are studied for locally bounded Lipschitz functions on a Hausdorff space. 相似文献
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在本文内,局部凸Hausdorff空间中凝聚选择映象极大元的两个存在性定理被证明,推广Mehta的最近结果.其中一个定理肯定地解答了Mehta提出的待解决的问题. 相似文献
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J. Ježek 《Czechoslovak Mathematical Journal》2007,57(4):1275-1288
Slim groupoids are groupoids satisfying x(yz) ≈ xz. We find all simple slim groupoids and all minimal varieties of slim groupoids. Every slim groupoid can be embedded into
a subdirectly irreducible slim groupoid. The variety of slim groupoids has the finite embeddability property, so that the
word problem is solvable. We introduce the notion of a strongly nonfinitely based slim groupoid (such groupoids are inherently
nonfinitely based) and find all strongly nonfinitely based slim groupoids with at most four elements; up to isomorphism, there
are just two such groupoids.
The work is a part of the research project MSM0021620839 financed by MSMT. 相似文献
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Ladislav Nebeský 《Czechoslovak Mathematical Journal》2006,56(2):659-675
In this paper, by a travel groupoid is meant an ordered pair (V, *) such that V is a nonempty set and * is a binary operation on V satisfying the following two conditions for all u, v ∈ V:
. Let (V, *) be a travel groupoid. It is easy to show that if x, y ∈ V, then x * y = y if and only if y * x = x. We say that (V, *) is on a (finite or infinite) graph G if V (G) = V and
. Clearly, every travel groupoid is on exactly one graph. In this paper, some properties of travel groupoids on graphs are
studied. 相似文献
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Semigroup Forum - A binary operation f(x, y) is said to be lazy if every operation that can be obtained from f by composition is equivalent to f(x, y), f(x, x) or x. We... 相似文献
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We introduce a concept of implication groupoid which is an essential generalization of the implication reduct of intuitionistic
logic, i.e. a Hilbert algebra. We prove several connections among ideals, deductive systems and congruence kernels which even
coincide whenever our implication groupoid is distributive.
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Tom Kepka 《Mathematische Nachrichten》1979,87(1):103-107
There are given two equivalent methods to construct BANACH lattices of compact operators. All known examples of such lattices are included. 相似文献
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In [7] point-reflection geometries were studied which can be derived from commutative kinematic
spaces without involutory elements. But the class of point-reflection geometries is larger. For example, elliptic
planes with their reflections cannot be derived from commutative kinematic spaces. Here we investigate a larger
class of reflection geometries.This paper was sponsored by Vigoni Program 1999. 相似文献
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Matteo Tommasini 《Topology and its Applications》2012,159(3):756-786
We define a 2-category structure (Pre-Orb) on the category of reduced complex orbifold atlases. We construct a 2-functor F from (Pre-Orb) to the 2-category (Grp) of proper étale effective groupoid objects over the complex manifolds. Both on (Pre-Orb) and (Grp) there are natural equivalence relations on objects: (a natural extension of) equivalence of orbifold atlases on (Pre-Orb) and Morita equivalence in (Grp). We prove that F induces a bijection between the equivalence classes of its source and target. 相似文献