Extensions and covers for semigroups whose idempotents form a left regular band

被引:0
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作者
Mário J. J. Branco
Gracinda M. S. Gomes
Victoria Gould
机构
[1] Faculdade de Ciências da Universidade de Lisboa,CAUL and Departamento de Matemática
[2] University of York,Department of Mathematics
来源
Semigroup Forum | 2010年 / 81卷
关键词
Expansions; ℛ-unipotent semigroups; Generalised restriction;
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摘要
Proper extensions that are “injective on ℒ-related idempotents” of ℛ-unipotent  semigroups, and much more generally of the class of generalised left restriction semigroups possessing the ample and congruence conditions, referred to here as glrac semigroups, are described as certain subalgebras of a λ-semidirect product of a left regular band by an ℛ-unipotent or by a glrac semigroup, respectively. An example of such is the generalized Szendrei expansion.
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页码:51 / 70
页数:19
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