| dc.contributor.author | Abuga, Joseph Motanya | |
| dc.contributor.author | Ojiema, Michael Onyango | |
| dc.contributor.author | Kivunge, Benard Muthiani | |
| dc.date.accessioned | 2023-09-12T11:52:28Z | |
| dc.date.available | 2023-09-12T11:52:28Z | |
| dc.date.issued | 2023-01-28 | |
| dc.identifier.uri | https://d1wqtxts1xzle7.cloudfront.net/99740226/1270-libre.pdf?1678621049=&response-content-disposition=inline%3B+filename%3DAutomorphism_Groups_of_Regular_Elements.pdf&Expires=1689848513&Signature=WoleyOIsU8tvXaxlPm23rsJkWkZzMcs7qL1RSVnFJ-Bi2pP9ZXBUFZ5rpYsRf8eDiKmGwut1mvwVbaz-rX-w5~NedY2dVL~07VR2TCcHDmxZfEEB3oPlFs9GvUegvPquHMC22QRxiVIfb5iLq1wA31aeSPDXi1K73jyGthxBpGWsdTKF4c48QYhAK6vYhzxHEz1z8Bc313Q7dXVFuu93Dmxnt0WrkhadAnl466C4hl~ke9W25weR0hdmMKr~T2BOh0LoBOBIMAWtWK6vMCQibUJ07qGiwZt7YqXj6l8KnbWa0mQzMRIGtR-RXsOoN8DzH14RbaJvluybSPet46mYDw__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA | |
| dc.identifier.uri | http://ir-library.mmust.ac.ke:8080/xmlui/handle/123456789/2265 | |
| dc.description.abstract | This paper presents the classification of the invariant subgroups of the automorphism groups of the regular
elements obtained from finite local near-rings, the appropriate algebraic structure to study non-linear functions
on finite groups. Just as rings of matrices operate on vector spaces, near-rings operate on groups. In this
paper, we construct classes of zero symmetric local near-ring of characteristic p
k
; k = 1, 2 , k ≥ 3 admitting
frobenius derivations, characterize the structures of the cyclic groups generated by the regular elements R(N )
as well as the structures and the orders of the automorphism groups Aut(R(N )) of the regular element | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Asian Research Journal of Mathematics | en_US |
| dc.subject | Automorphism, Groups, Regular, Elements , Von-Neumann, Inverses,Local, Near-Rings, Admitting, Frobenius ,Derivations | en_US |
| dc.title | Automorphism Groups of Regular Elements with Von-Neumann Inverses of Local Near-Rings Admitting Frobenius Derivations | en_US |
| dc.type | Article | en_US |
