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A structure preserving embedding of semigroups into regular semigroups

Citation

Trotter, PG, A structure preserving embedding of semigroups into regular semigroups, Communications in Algebra, 37, (8) pp. 2920-2932. ISSN 0092-7872 (2009) [Refereed Article]

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Copyright Statement

The definitive published version is available online at: http://www.tandf.co.uk/journals

Official URL: http://www.tandf.co.uk/journals

DOI: doi:10.1080/00927870902747274

Abstract

For any semigroup S a regular semigroup C(S) that embeds S can be constructed as the direct limit of a sequence of semigroups each of which contains a copy of its predecessor as a subsemigroup whose elements are regular. The construction is modified here to obtain an embedding of S into a regular semigroup R such that the nontrivial maximal subgroups of R are isomorphic to the Schtzenberger groups of S and such that the restriction to S of any of Green's relations on R is the corresponding Green's relation on S.

Item Details

Item Type:Refereed Article
Keywords:Embedding; Regular semigroups; Semigroups; Structure
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Trotter, PG (Dr Peter Trotter)
ID Code:60947
Year Published:2009
Web of Science® Times Cited:1
Deposited By:Mathematics
Deposited On:2010-02-23
Last Modified:2010-10-06
Downloads:0

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