On locally compact topological graph inverse semigroups

被引：3

作者：

Bardyla, Serhii ^{[1
]}

机构：

[1] Natl Univ Lviv, Fac Math, Univ Ska 1, UA-79000 Lvov, Ukraine

来源：

TOPOLOGY AND ITS APPLICATIONS | 2019年 / 267卷

关键词：

Locally compact topological; semigroup; Polycyclic monoid; Graph inverse semigroup; ALGEBRAS;

D O I：

10.1016/j.topol.2019.106873

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we characterize graph inverse semigroups which admit only discrete locally compact semigroup topology. This characterization provides a complete answer to a question of Z. Mesyan, J. D. Mitchell, M. Morayne and Y. H. Peresse posed in [26]. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：9

共 50 条

[1] Embedding of graph inverse semigroups into CLP-compact topological semigroups
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[J]. TOPOLOGY AND ITS APPLICATIONS, 2020, 272
[2] Compact topological inverse semigroups
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[J]. SEMIGROUP FORUM, 2000, 60 (02) : 243 - 252
[3] Compact Topological Inverse Semigroups
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[J]. Semigroup Forum, 2000, 60 : 243 - 252
[4] Topological graph inverse semigroups
Mesyan, Z.
Mitchell, J. D.
Morayne, M.
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[J]. TOPOLOGY AND ITS APPLICATIONS, 2016, 208 : 106 - 126
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[9] Inner invariant means on locally compact topological semigroups
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[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2009, 16 (01) : 129 - 144
[10] On the continuity of inversion in countably compact inverse topological semigroups
Banakh, TO
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[J]. SEMIGROUP FORUM, 2004, 68 (03) : 411 - 418

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