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math.RA2019
Hom-Lie-Hopf algebras
S. Halici, A. Karataş, S. Sütlü
We studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general -type. This allows us to consider the universal enveloping…
math.RA2018
Bicomplex Lucas and Horadam Numbers
Serpil Halici, Adnan Karataş
In this work, we made a generalization that includes all bicomplex Fibonacci-like numbers such as; Fibonacci, Lucas, Pell, etc.. We named this generalization as bicomplex Horadam n…
math.RA2017
Dual Horadam Octonions
Serpil Halici, Adnan Karataş
In this study, we investigate Horadam sequence as generalization of linear recurrence equations of order two. By the aid of this sequence we obtain a new generalization for sequenc…