Rees Matrix Covers And The Translational Hull Of A Locally Inverse Semigroup

COMMUNICATIONS IN ALGEBRA（2008）

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摘要

For any locally inverse semigroup S, there exists a maximal dense ideal extension of S within the class LI of all locally inverse semigroups (Pastijn and Oliveira, 2006, Preprint). Here we realize this maximal dense ideal extension in terms of a canonically constructed quotient of a regular Rees matrix semigroup over an inverse semigroup.

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关键词

completely 0-simple semigroup, dense ideal extension, inverse semigroup, locally inverse semigroup, normal band of groups, order ideal, pseudosemilattice, Rees matrix semigroup, thread, translational hull

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