Open AccessOn Epiorthodox Semigroups
Author(s) -
Shouxu Du,
Xinzhai Xu,
K. P. Shum
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/181707
Subject(s) - mathematics , semigroup , structured program theorem , special classes of semigroups , pure mathematics , algebra over a field
It has been well known that the band of idempotents of a naturallyordered orthodox semigroup satisfying the “strong Dubreil-Jacotin condition” forms a normal band. In the literature, the naturally ordered orthodox semigroups satisfying the strong Dubreil-Jacotin condition were first considered by Blyth and Almeida Santos in 1992. Based on the name “epigroup” in the paper of Blyth and Almeida Santos and also the name “epigroups” proposed by Shevrin in 1955; we now call the naturally ordered orthodox semigroups satisfying the Dubreil-Jacotin conditionthe epiorthodox semigroups. Because the structure of this kind of orthodoxsemigroups has not yet been described, we therefore give a structure theoremfor the epi-orthodox semigroups
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