1 citations · 1 across the 4 of their papers we have counts for
4 papers
The Structure of Non-Associative Finite Invertible Loops (NAFIL)*
Raoul E. Cawagas
The NAFIL is a finite loop in which every element has a unique (two-sided)inverse. NAFIL loops can be classified into two types: composite (with at least one non-trivial subsystem)…
Construction of a Family of Nafil Loops of Odd Order n = 2m +1
Raoul E. Cawagas
The existence of NAFIL loops of every odd order n => 5 is established by construction. These are non-associative finite invertible loops that are simple and power-associative and t…
The Subalgebra Structure of the Cayley-Dickson Algebra of Dimension 32 (trigintaduonion)
Raoul E. Cawagas, Alexander S. Carrascal, Lincoln A. Bautista +3
The Cayley-Dickson algebras R (real numbers), C (complex numbers), H (quaternions), O (octonions), S (sedenions), and T (trigintaduonions) have attracted the attention of several m…
Introduction: Non-Associative Finite Invertible Loops
Raoul E. Cawagas
Non-associative finite invertible loops (NAFIL) are loops whose every element has a unique two-sided inverse. Not much is known about the class of NAFIL loops which includes the fa…