Algebraic factorization and semigroup theory form a cornerstone of contemporary abstract algebra, investigating how elements within algebraic structures decompose into irreducible components, or atoms ...

In this article we list several algorithms for the factorization of integers, each of which can be either fast or varying levels of slow depending on their input. Notice, if the number that you want ...

ABSTRACT: We study decomposition of finite Abelian groups into subsets and show by examples a negative answer to the question of whether Hajós-property is inherited by direct product of groups which ...

This review is devoted to the universal algebraic and geometric properties of the non-relativistic quantum current algebra symmetry and to their representations subject to applications in describing ...

Abstract: In his doctoral dissertation in 1797, Gauss proved the fundamental theorem of algebra, which states that any one-dimensional (1-D) polynomial of degree n with complex coefficients can be ...