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A study on the analytic properties for certain algebras

 Department:Mathematics and Statistics  
 By:usericon Misa_Percy1  

 Project ID: 8067
 Rating:  (5.0) votes: 1
   Price:₦5000
Abstract
The interplay of the Jacobiam Matrix and the Cauchy-Reimann equation in determining the analytic properties of complex numbers split complex numbers (hyperbolic Numbers, perplex numbers, Real tessarines, double numbers ), Dual numbers(Algebra Algebra ), Bi-complex numbers, Quaternions, Bi-quaternions and Split-quaternions is the main focus of the study. In this paper, we construct some real algebras by using elementary functions and discuss some relations between several axioms and their related conditions for such functions. We obtain some conditions for real-valued functions to be a (edge) d-algebra. We consider a theory of elements u of a groupoid ( X,* ) that are associated with certain functions u^: X? X, pseudo-inverse functions, which are generalizations of the inverses associated with units of groupoids with identity elements. If classifying the elements u as special of one of twelve types, then it is possible to do a rather detailed analysis of certain cases, leftoids, rightoids and linear groupoids included, which demonstrates that it is possible to develop a successful theory and that a good deal of information has already been obtained with much more possible in the future....
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