4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2026
Bicomplex Algebraic Numbers
Hichem Gargoubi, Sayed Kossentini
We investigate bicomplex analogues of fundamental notions from classical algebraic number theory. In particular, we show that the primitive element theorem admits a natural general…
math.NT2022
Radix form in hyperbolic and dual numbers
Sayed Kossentini
We investigate number systems for the ring of integers of hyperbolic and dual numbers. We characterize all canonical number systems providing radix form for hyperbolic and dual num…
math.FA2020★ 4 cited
Bicomplex numbers as a normal complexified f-algebra
Hichem Gargoubi, Sayed Kossentini
The algebra B of bicomplex numbers is viewed as a complexification of the Archimedean f-algebra of hyperbolic numbers D. This lattice-theoretic approach allows us to establish new…