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On Epiorthodox Semigroups
Joint Authors
Shum, K. P.
Xu, Xinzhai
Du, Shouxu
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-08
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
It has been well known that the band of idempotents of a naturally ordered 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 condition the epiorthodox semigroups.
Because the structure of this kind of orthodox semigroups has not yet been described, we therefore give a structure theorem for the epi-orthodox semigroups.
American Psychological Association (APA)
Du, Shouxu& Xu, Xinzhai& Shum, K. P.. 2011. On Epiorthodox Semigroups. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-452442
Modern Language Association (MLA)
Du, Shouxu…[et al.]. On Epiorthodox Semigroups. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-452442
American Medical Association (AMA)
Du, Shouxu& Xu, Xinzhai& Shum, K. P.. On Epiorthodox Semigroups. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-452442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452442