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Similarity of hybrid numbers
Author(s) -
Öztürk İskender,
Özdemir Mustafa
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6580
Subject(s) - mathematics , noncommutative geometry , similarity (geometry) , real number , set (abstract data type) , discrete mathematics , pure mathematics , combinatorics , image (mathematics) , artificial intelligence , computer science , programming language
The set of hybrid numbers is a noncommutative number system that unified and generalized the complex, dual, and double (hyperbolic) numbers with the relation ih =− hi = ε + i. Two hybrid numbers p and q are said to be similar if there exist a nonlightlike hybrid number x satisfying the equality x −1 qx = p . And, it is denoted by p ∼ q . In this paper, we study the concept of similarity for hybrid numbers by solving the linear equations px = xq and qx − xp = c for p , q , c ∈ .