Akhil Prakash

Research

Certain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices

Article April 23, 2018

In this paper, we have studied Orthogonal and Unitary matrix in C2, some theorems and properties related to bicomplex matrix. We have defined the new concept over the bicomplex matrix, relation between bicomplex matrix and its complex component matrix, algebraic structure of bicomplex matrix in new system as well as the new definition of inverse of matrix in C2 and some properties in new system. A similar relation between two bicomplex matrices is also defined in this paper.

Certain Results on Bicomplex Topologies and their Comparison

Article July 5, 2016

In this paper, we have investigated the relation between idempotent order and norm topological structures. We have discussed about the relation between real order topology and idempotent order topology and we have also established the relation between real order topology and norm topology.