共查询到20条相似文献,搜索用时 0 毫秒
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We describe the structure of 0-simple countably compact topological inverse semigroups and the structure of congruence-free
countably compact topological inverse semigroups. 相似文献
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Zhenji Tian 《代数通讯》2013,41(6):1824-1833
An inverse semigroup S is said to be 0-semidistributive if its lattice ?F (S) of full inverse subsemigroups is 0-semidistributive. We show that it is sufficient to study simple inverse semigroups which are not groups. Our main theorem states that such a simple inverse semigroup S is 0-semidistributive if and only if (1) S is E-unitary, (2) S is aperiodic, (3) for any a,b ∈ S/σ with ab ≠ 1, there exist nonzero integers n and m such that (ab) m = a n or (ab) m = b n , where σ is the minimum group congruence on S. 相似文献
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It is dedicated to the study of inverse wrpp semigroup, we obtain some charac- terizations of inverse wpp semigroup. In particular, we establish some charactizations for C-wrpp semigroup. 相似文献
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Let S be a locally inverse semigroup with an inverse transversal S°. In this paper, we construct an amenable partial order on S by an R-cone. Conversely, every amenable partial order on S can be constructed in this way. We give some properties of a locally inverse semigroup with a Clifford transversal. In particular, if S is a locally inverse semigroup with a Clifford transversal, then there is an order-preserving bijection from the set of all amenable partial orders on S to the set of all R-cones of S. 相似文献
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Oleg Gutik 《Semigroup Forum》2000,60(2):243-252
A locally compact commutative band with open principal ideals is a zero-dimensional scattered space. Cardinal invariants of locally compact and compact commutative bands with open principal ideals is investigated. A base of the topology of a compact commutative band with open principal ideals is determined and the structure of such compact semilattices in which every principal lower set is a chain is described. Every first countable compact inverse semigroup with open right (left, two-sided) principal ideals is metrizable 相似文献
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Vitor H. Fernandes 《Semigroup Forum》1998,56(3):418-433
NO of all normally ordered inverse semigroups. We show that the pseudovariety of inverse semigroups PCS generated by all semigroups of injective and order partial transformations on a finite chain consists of all aperiodic elements
of NO . Also, we prove that NO is the join pseudovariety of inverse semigroups. PCS V G , where G is the pseudovariety of all finite groups. 相似文献
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Claudio Gutiérrez 《Semigroup Forum》2000,61(1):154-158
Using techniques of Rewriting Theory, we present a new proof of the known theorem of Munn that FIX , the free inverse semigroup on X , is isomorphic to birooted word-trees on X . 相似文献
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A transformation semigroup over a set X with N elements is said to be a near permutation semigroup if it is generated by a group G of permutations on N elements and by a set H of transformations of rank N - 1. In this paper we give necessary and sufficient conditions for a near permutation semigroup S = ‹G,H›, where H is a group, to be inverse. Moreover, we obtain conditions which guarantee that its semilattice of idempotents is generated by the idempotents of S of rank greater than N - 2 or N - 3. 相似文献
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Research supported by NSERC. 相似文献
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Regular Semigroups with Inverse Transversals 总被引:2,自引:0,他引:2
Fenglin Zhu 《Semigroup Forum》2006,73(2):207-218
Let C be a semiband with an inverse transversal
. In [7], G.T. Song and F.L. Zhu construct a fundamental regular semigroup
with an inverse transversal
.
is isomorphic to a subsemigroup of the Hall semigroup of C but it is easier to handle. Its elements are partial transformations,
and the operation-although not the usual composition-is defined by means of composition. Any full regular subsemigroup T of
is a fundamental regular semigroup with inverse transversal
. Moreover, any regular semigroup S with an inverse transversal
is proved to be an idempotent-separating coextension of a full regular subsemigroup T of some
. By means of a full
regular subsemigroup T of some
and by means of an inverse semigroup K satisfying some conditions, in this paper, we construct a regular semigroup
with inverse transversal
such that
is isomorphic to K and
to T. Furthermore, it is proved that if S is a regular semigroup with an inverse transversal
then S can be constructed from the corresponding T and from
in this way. 相似文献
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Regular Semigroups with Inverse Transversals 总被引:24,自引:0,他引:24
Xilin Tang 《Semigroup Forum》1997,55(1):24-32
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完全单半群及完全正则半群的逆断面 总被引:1,自引:1,他引:0
指出完全单半群S的任何一个F-类是逆断面,且为Q-逆断面,而S的任何一个逆断面必是一个F-类,因而所有逆断面同构。并且给出完全正则半群的逆断面存在的充要条件。 相似文献
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A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band.We deal with congruces on a normal orthodox semigroup with an iverse transversal .A structure theorem for such semigroup is obtained.Munn(1966)gave a fundamental inverse semigroup Following Munn‘s idea ,we give a fundamental normal orthodox semigroup with an inverse transversal. 相似文献
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