Symmetric systems with semi-simple structure algebra: The quaternionic case

On Hyper P-Semi Simple I-algebra

In this paper we introduce the concepts of hyper P -semisimple Ialgebra and Abelian hyper I-algebra and we state and prove some related results. The hyper p-semi simple I-algebras is a generalization of p-semisimple BCI-algebras and a subclass of hyper I-algebras. Specially we show that every Abelian hyper I-algebra is a hyper psemisimple I-algebra and a commutative canonical hypergroup. In fol...

On the Quaternionic Curves in the Semi-Euclidean Space E_4_2

In this study, we investigate the semi-real quaternionic curves in the semi-Euclidean space E_4_2. Firstly, we introduce algebraic properties of semi-real quaternions. Then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E42 . Finally, we give an example illustrated with Mathematica Programme.

Semi-simple splicing systems

In 1987 Tom Head [5] introduced the idea of splicing as a generative mechanism in formal language theory. This mechanism was popularized and extensively developed by Gheorghe Păun and his many coworkers, who recognized much of the subtlety and power of this mechanism and who used it as a foundation for the rapidly developing study of DNA based computing. See, for example, [11] and [12]. (The mo...

Quaternionic linear algebra and plurisubharmonic functions of quaternionic variables

Quaternionic linear algebra and plurisubharmonic functions of quaternionic variables. Abstract We remind known and establish new properties of the Dieudonné and Moore determinants of quaternionic matrices. Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables. The main point of this paper is that in quaternionic algebra and analys...

Semi-simple Spli ing Systems