# Algebra

## 1406 Submissions

[3] **viXra:1406.0189 [pdf]**
*replaced on 2014-10-28 19:18:28*

### The Generalized Continuum Hypothesis

**Authors:** Daniel Cordero Grau

**Comments:** 2 Pages.

In this paper we prove the Generalized Continuum Hypothesis, which is, as Universal Algebra and Category Theory, a complete theory, proving that
the infinite initial ordinals and the transfinite cardinals are isomorphic universal algebras.
For isomorphic universal algebras are isomorphic categories, isomorphic categories are isomorphic theories, by the Fundamental Theorem of Categorical Logic, and so, isomorphic universal algebras are isomorphic theories.

**Category:** Algebra

[2] **viXra:1406.0183 [pdf]**
*replaced on 2015-01-09 15:56:12*

### Plots of Cycle Graphs of the Finite Groups up to Order 36.

**Authors:** Richard J. Mathar

**Comments:** 182 Pages. Corrected figure caption of Figure 50.

The cycle graphs for all finite abstract groups up to order 37 are plotted, except the trivial ring graphs of the cyclic groups themselves.

**Category:** Algebra

[1] **viXra:1406.0098 [pdf]**
*submitted on 2014-06-15 18:28:07*

### Soft Neutrosophic Algebraic Structures and Their Generalization

**Authors:** Florentin Smarandache, Mumtaz Ali, Muhammad Shabir

**Comments:** 264 Pages.

Study of soft sets was first proposed by Molodtsov in 1999 to deal with uncertainty in a non-parametric manner. The researchers did not pay attention to soft set theory at that time but now the soft set theory has been developed in many areas of mathematics.
Algebraic structures using soft set theory are very rapidly developed. In this book we developed soft neutrosophic algebraic structures by using soft sets and neutrosophic algebraic structures. In this book we study soft neutrosophic groups, soft neutrosophic semigroups, soft neutrosophic loops, soft neutrosophic LA-semigroups, and their generalizations respectively.

**Category:** Algebra