SUBSEMIGROUPS GENERATED BY QUASI-IDEMPOTENTS IN CERTAIN FINITE SEMIGROUPS OF MAPPINGS

Simple item page
dc.contributor.authorTANKO, IMAM,
dc.contributor.authorAbdussamad
dc.date.accessioned2014-02-25T08:47:21Z
dc.date.available2014-02-25T08:47:21Z
dc.date.issued2013-05
dc.descriptionDEPARTMENT OF MATHEMATICS AHMADU BELLO UNIVERSITY, ZARIA, NIGERIAen_US
dc.description.abstractAbstract Let Xn be the nite set f1; 2; : : : ; ng and let Tn and In be the full transformation semigroup and the symmetric inverse semigroup on Xn respectively. In this the- sis, we consider quasi-idempotent elements in the two semigroups Tn and In. For the semigroup Tn, we characterise quasi-idempotent elements and establish that the subsemigroup Singn of all singular self-maps of Tn is generated by a set of quasi-idempotents called quasi-idempotents of type one. We also obtained the quasi- idempotent rank of Singn. This number coincides with the rank and idempotent rank of Singn which is 1 2n(n 􀀀 1). For the semigroup In, we characterise quasi- idempotent elements and prove that the subsemigroup SIn, of all strictly partial injections of In, is generated by quasi-idempotents of type one.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/2463
dc.language.isoenen_US
dc.subjectSUBSEMIGROUPS,en_US
dc.subjectGENERATED,en_US
dc.subjectQUASI-IDEMPOTENTS,en_US
dc.subjectCERTAIN,en_US
dc.subjectFINITE,en_US
dc.subjectSEMIGROUPS,en_US
dc.subjectMAPPINGSen_US
dc.titleSUBSEMIGROUPS GENERATED BY QUASI-IDEMPOTENTS IN CERTAIN FINITE SEMIGROUPS OF MAPPINGSen_US
dc.typeThesisen_US
Files
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
A. T. IMAM (M,Sc. Mathematics).pdf
Size:
306.24 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.58 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
SCIENCE