Non-Commutativity over Canonical Suspension Η for Genus G ≥ 1 in Hypercomplex Structures for Potential ρΦ

EasyChair Preprint 9019

Abstract

Any matrix multiplication is non-commutative which has been shown here in terms of suspension, annihilator, and factor as established over a ring following the parameter k over a set of elements upto n for an operator to map the ring R to its opposite R^op having been through a continuous representation of permutation upto n-cycles being satisfied for a factor f along with its inverse f^-1 over a denoted orbit gamma on k-parameterized ring justified via suspension η ∈ η⁰,η¹ implying the same global non-commutativity for the annihilator A. This will be used for the construction of the genus–alteration scenario where the suspension η⁰ acting with its opponent η¹ on any topological space J can alter the geometry making a change in the manifolds for taking over the Boolean (1,0) satisfying the concerned operations.

Keyphrases: Boolean, Non-commutativity, annihilator, operators

@booklet{EasyChair:9019,
  author    = {Deep Bhattacharjee},
  title     = {Non-Commutativity over Canonical Suspension Η for Genus G ≥ 1 in Hypercomplex Structures for Potential ρΦ},
  howpublished = {EasyChair Preprint 9019},
  year      = {EasyChair, 2022}}