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The structure of regular semigroups, I: A representation

โœ Scribed by Pierre Antoine Grillet


Publisher
Springer
Year
1974
Tongue
English
Weight
400 KB
Volume
8
Category
Article
ISSN
0037-1912

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A Biordered Set Representation of Regula
โœ Bing Jun Yu; Mang Xu ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Institute of Mathematics, Chinese Academy of Scien ๐ŸŒ English โš– 231 KB

In this paper, for an arbitrary regular biordered set E, by using biorder-isomorphisms between the ฯ‰-ideals of E, we construct a fundamental regular semigroup W E called NH-semigroup of E, whose idempotent biordered set is isomorphic to E. We prove further that W E can be used to give a new represen