STUDY OF MULTIGROUP AND ITS EXTENSIONS
STUDY OF MULTIGROUP AND ITS EXTENSIONS
| dc.contributor.author | GIWA, JAMILATU SHEHU | |
| dc.date.accessioned | 2018-08-09T09:40:03Z | |
| dc.date.available | 2018-08-09T09:40:03Z | |
| dc.date.issued | 2016-08 | |
| dc.description | A THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF A MASTER DEGREE IN MATHEMATICS DEPARMENT OF MATHEMATICS, AHMADU BELLO UNIVERSITY, ZARIA NIGERIA | en_US |
| dc.description.abstract | Multigroup is a generalization of classical group. The concept of multigroup* was introduced by reversing the conditions of multigroup. We established a tabular representation of multigroup space and multigroup* space and defined the terms semimultigroup and semimultigroup* spaces that culminated into the partition of the spaces. The construction of multigroup and multigroup* spaces shows that the existence and the multiplicity of the identity element plays a vital role in identifying a multigroup within a multiset space. The formula π πππ’π ππππ‘πππππ (πΒ‘) for calculating the total number of submultigroups and submultigroups* found in a complex multigroup and complex multigroup* spaces was derived. Finally, the operations in multigroup were extended to multigroup* and it was found that the intersection of two multigroups* is not a multigroup* whereas the union of two multigroups* is a multigroup* against the perspective in multigroup. | en_US |
| dc.identifier.uri | http://hdl.handle.net/123456789/10027 | |
| dc.language.iso | en | en_US |
| dc.subject | STUDY, | en_US |
| dc.subject | MULTIGROUP, | en_US |
| dc.subject | EXTENSIONS, | en_US |
| dc.title | STUDY OF MULTIGROUP AND ITS EXTENSIONS | en_US |
| dc.type | Thesis | en_US |
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