dc.date.accessioned |
2021-06-08T09:11:58Z |
|
dc.date.available |
2021-06-08T09:11:58Z |
|
dc.date.issued |
2020 |
|
dc.identifier.issn |
0188-7009 |
|
dc.identifier.uri |
https://hdl.handle.net/20.500.12619/96160 |
|
dc.description |
Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir. |
|
dc.description.abstract |
In this paper, we study the four-dimensional real algebra of bihyperbolic numbers. Under consideration of the spectral representation of the bihyperbolic numbers, we give a partial order of bihyperbolic numbers which allows us to obtain some relations in the ordered vector space of bihyperbolic numbers. Moreover, we state that the set of bihyperbolic numbers form a real Banach algebra with a new defined norm. We introduce conjugates, three hyperbolic valued moduli, real moduli, and multiplicative inverse of the bihyperbolic numbers. We give the concept of the absolute value of a bihyperbolic number which generalizes that of real numbers. Also, we represent the polar form of invertible bihyperbolic numbers. |
|
dc.language |
English |
|
dc.language.iso |
eng |
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dc.publisher |
SPRINGER BASEL AG |
|
dc.relation.isversionof |
10.1007/s00006-019-1036-2 |
|
dc.rights |
info:eu-repo/semantics/closedAccess |
|
dc.subject |
BICOMPLEX |
|
dc.title |
Algebraic Properties of Bihyperbolic Numbers |
|
dc.type |
Article |
|
dc.contributor.authorID |
ERSOY, Soley/0000-0002-7183-7081 |
|
dc.identifier.volume |
30 |
|
dc.relation.journal |
ADVANCES IN APPLIED CLIFFORD ALGEBRAS |
|
dc.identifier.issue |
1 |
|
dc.identifier.doi |
10.1007/s00006-019-1036-2 |
|
dc.identifier.eissn |
1661-4909 |
|
dc.contributor.author |
Bilgin, Merve |
|
dc.contributor.author |
Ersoy, Soley |
|
dc.relation.publicationcategory |
Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı |
|