Some Results On Quaternion 3-Space
Journal Title: Cumhuriyet Science journal - Year 2018, Vol 39, Issue 2
Abstract
In this paper, the set J′=H(Q₄,Jγ) of 4 by 4 matrices, with entries in a quaternion F-algebra Q, that are symmetric with respect to the canonical involution Jγ is studied. J′ is also the special Jordan matrix algebra and some results related to points and lines of the quaternion 3-space P(J′) defined by the algebra are introduced. Finally, by taking dual ring Q:= Q+Qε (ε∉Q, ε²=0) instead of Q, the obtained results are carried to a more general state.
Authors and Affiliations
Atilla AKPINAR, Fatma ÖZEN ERDOĞAN
Keywords
Related Articles
- EP ID EP488370
- DOI 10.17776/csj.434228
- Views 73
- Downloads 0
Influence of Some Cladonia Lichens on Plant Pathogenic Bacteria and Copper Reducing Antioxidant Capacity Activities
Microorganisms such as bacteria and fungi lead many diseases in plants. A great deal of pathogenic microorganisms has gained resistance against frequently utilized antibiotics and synthetic fungicides. Lichens are symbio...
Electrochemical Detection of Epinephrine in The Presence of Ascorbic Acid at Poly (p-Aminobenzene Sulfonic Acid) Modified Sensor
In this study, a rapid, reliable, selective and sensitive simultaneous voltammetric determination of Epinephrine (EP) in the presence of ascorbic acid at poly (p-aminobenzene sulphonic acid, ABSA) modified sensor was aim...
Selfadjointness and Positiveness of the Differential Operators Generated by New Type Sturm-Liouville Problems
It is purpose of this paper to investigate Sturm-Liouville equation on many-interval with the eigenvalue parameter appearing linearly in the boundary conditions and with two supplementary transmission conditions. The cla...
Electrochemical Investigation of Carbon Nanotube Modified Surfaces Based on Ferricyanide and Guanine Signals for DNA Biosensor Applications
This study was designed to investigate the performance of carbon nanotubes (CNT) modified carbon paste and carbon printed electrodes (SPE) produced in laboratory conditions. The effect of carbon nanotube use on signal en...
The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect
In this work, we present a delay general nonlinear discrete-time population model with and without Allee effects which occur at low population density. We investigated local stability conditions of equilibrium point of b...