Javascript must be enabled to continue!
New structure of algebras using permutations in symmetric groups
View through CrossRef
The permutation BG-algebras were first introduced as a novel kind of algebra. In this work, their basic qualities were investigated to better understand how they relate to one another and how they might be combined to construct various sorts of superstructures. We investigated permutation BG-algebras, permutation group-derived, permutation BGsubalgebra, and permutation BG-normal. Furthermore, we explored certain novel concepts in permutation theory for the initial time. We additionally looked into BG-algebra isomorphism theorems, BG-algebra homomorphism, quotient permutation BG-algebras, and equivalence relations.
Title: New structure of algebras using permutations in symmetric groups
Description:
The permutation BG-algebras were first introduced as a novel kind of algebra.
In this work, their basic qualities were investigated to better understand how they relate to one another and how they might be combined to construct various sorts of superstructures.
We investigated permutation BG-algebras, permutation group-derived, permutation BGsubalgebra, and permutation BG-normal.
Furthermore, we explored certain novel concepts in permutation theory for the initial time.
We additionally looked into BG-algebra isomorphism theorems, BG-algebra homomorphism, quotient permutation BG-algebras, and equivalence relations.
Related Results
Finitely Presented Heyting Algebras
Finitely Presented Heyting Algebras
In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...
METHODS FOR CONSTRUCTING PERMUTATIONS OF AN ARBITRARY FINITE FIELD AND THEIR LINEAR CHARACTERISTICS
METHODS FOR CONSTRUCTING PERMUTATIONS OF AN ARBITRARY FINITE FIELD AND THEIR LINEAR CHARACTERISTICS
Permutations in a finite field (bijective transformations) are actively studied in many applications, including in information security theory. Permutations are often used as eleme...
Weak pseudo-BCK algebras
Weak pseudo-BCK algebras
Abstract
In this paper we define and study the weak pseudo-BCK algebras as generalizations of weak BCK-algebras, extending some results given by Cı⃖rulis for weak BC...
Symmetric Hom–Leibniz algebras
Symmetric Hom–Leibniz algebras
Abstract
This paper focuses on quadratic Hom–Leibniz algebras, defined as (left or right) Hom–Leibniz algebras equipped with symmetric, non-degenerate, and invariant bilinear fo...
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
The purpose of this paper is to study the $\mathcal{O}$-operators on Malcev algebras and discuss the solutions of Malcev Yang-Baxter equation by $\mathcal{O}$-operators. Furthe...
Some Results on Quasi MV-Algebras and Perfect Quasi MV-Algebras
Some Results on Quasi MV-Algebras and Perfect Quasi MV-Algebras
Abstract
Quasi MV-algebras are a generalization of MV-algebras and they are motivated by the investigation of the structure of quantum logical gates. In the first part, w...
On t-derivations of PMS-algebras
On t-derivations of PMS-algebras
Background PMS algebras are a type of algebraic structure that has been studied extensively in recent years. They are a generalization of several other algebraic structures, such a...
WITHDRAWN: Roughness in L-algebras
WITHDRAWN: Roughness in L-algebras
Abstract
The aim of this paper is to introduce rough approximation on L−algebras. We investigate the relationship between subalgebras, ideals and rough subalgebras, rough i...

