# Algebra

## 1805 Submissions

[3] **viXra:1805.0528 [pdf]**
*submitted on 2018-05-31 00:49:48*

### The Matricial Clifford Algebras

**Authors:** Antoine Balan

**Comments:** 1 page, written in french

We introduce here the notion of matricial Clifford algebras with help of the product of matrices and the tensor product.

**Category:** Algebra

[2] **viXra:1805.0355 [pdf]**
*replaced on 2018-06-12 05:12:19*

### Boundary Matrices and the Marcus-de Oliveira Determinantal Conjecture

**Authors:** Ameet Sharma

**Comments:** 10 Pages.

We present notes on the Marcus-de Oliveira conjecture. The conjecture concerns the region in the complex plane covered by the determinants of the sums of two normal matrices with prescribed eigenvalues. Call this region ∆. This paper focuses on boundary matrices of ∆. We prove 4 theorems regarding these boundary matrices. We propose 2 conjectures related to the Marcus-de Oliveira conjecture.

**Category:** Algebra

[1] **viXra:1805.0337 [pdf]**
*submitted on 2018-05-18 14:29:00*

### On the Locality of Fields

**Authors:** Jacob Klumberg, Boris Kyrasov

**Comments:** 10 Pages.

Suppose we are given a reversible, nonnegative, ultra-partially sub-null arrow r. A central
problem in arithmetic is the characterization of unconditionally universal numbers.
Recent interest in Artinian subalgebras has centered on describing multiply associative numbers. Recently,
there has been much interest in the derivation of super-reducible, extrinsic hulls.

**Category:** Algebra