On the Semisimilarity and Consemisimilarity of Split Quaternions
In this study, we introduce the concept of semisimilarity and consemisimilarity of split quaternions. Moreover, we examine the solvability conditions and general solutions of systems x a y = b , y b x = a and x ~ a y = b , y ~ b x = a in split quaternions. If there exist x and y that satisfy first e...
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| Veröffentlicht in: | Advances in applied Clifford algebras 2016-06, Vol.26 (2), p.847-859 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this study, we introduce the concept of semisimilarity and consemisimilarity of split quaternions. Moreover, we examine the solvability conditions and general solutions of systems
x
a
y
=
b
,
y
b
x
=
a
and
x
~
a
y
=
b
,
y
~
b
x
=
a
in split quaternions. If there exist
x
and
y
that satisfy first equations system, then
a
and
b
are said to be semisimilar, if there exist
x
and
y
that satisfy second equations system, then
a
and
b
are said to be consemisimilar. |
|---|---|
| ISSN: | 0188-7009 1661-4909 |
| DOI: | 10.1007/s00006-015-0633-y |