[6] **viXra:2001.0407 [pdf]**
*submitted on 2020-01-20 17:20:57*

**Authors:** Cicily Flora, S., Arockiarani, I., Saeid Jafari

**Comments:** 7 Pages.

The notion of bipolar vague A-ideals of BCI-algebra is introduced and their properties are investigated.
Characterizations of bipolar vague A-ideals are given. Relationship between bipolar vague ideal and the newly defined ideals are analyzed. Moreover, we studied some equivalent conditions for bipolar vague A-ideals. Finally, we prove a result in bipolar A-ideal using bipolar vague level cut.

**Category:** Algebra

[5] **viXra:2001.0239 [pdf]**
*submitted on 2020-01-14 10:00:00*

**Authors:** Zeolla Gabriel

**Comments:** 11 Pages.

This document develops and demonstrates the discovery of a new potentiation algorithm that works absolutely with all the numbers using the formula of the square of a binomial, trinomial, tetranomial and pentanomial

**Category:** Algebra

[4] **viXra:2001.0160 [pdf]**
*submitted on 2020-01-09 15:09:47*

**Authors:** Theophilus Agama

**Comments:** 44 Pages.

In this paper we introduce and develop the concept of expansivity of a tuple whose entries are elements from the polynomial ring R[x]. As an inverse problem, we examine how to recover a tuple from the expanded tuple at any given phase of expansion. We convert the celebrated Sendov conjecture concerning the distribution of zeros of polynomials and their critical points into this language and prove some weak variants of this conjecture. We also apply this to the existence of solutions to diﬀerential equations. In particular, we show that a certain system of diﬀerential equation has no non-trivial solution.

**Category:** Algebra

[3] **viXra:2001.0067 [pdf]**
*submitted on 2020-01-05 00:46:10*

**Authors:** Henry Wong

**Comments:** 2 Pages.

An addendum to set theory.

**Category:** Algebra

[2] **viXra:2001.0035 [pdf]**
*submitted on 2020-01-03 00:59:30*

**Authors:** Henry Wong

**Comments:** 1 Page.

An addendum to group theory.

**Category:** Algebra

[1] **viXra:2001.0028 [pdf]**
*submitted on 2020-01-03 05:31:24*

**Authors:** Mehsin Jabel Atteya

**Comments:** 48 Pages.

In this article, we introduce new generators of a permuting n-derivations to improve and
increase the action of usual derivation. We produce a permuting n-generalized semiderivation,
a permuting n-semigeneralized semiderivation, a permuting n-antisemigeneralized semiderivation
and a permuting skew n-antisemigeneralized semiderivation of non-empty rings with their
applications. Actually, we study the behaviour of those types and present their results of semiprime ring R. Examples of various results have also been included. That is, many of the branches of science
such as business, engineering and quantum physics, which used a derivation, have the opportunity
to invest them in solving their problems.

**Category:** Algebra