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

So how do we define a ternary or k-ary factorization system? An ordinary “binary” factorization system consists of two classes of maps (L, R) (L,R), such that L L is orthogonal to R R, and every ...

Briefly, an algebraic model category is an ordinary model category in which the functorial factorizations take the form described above and such that there is also a natural transformation comparing ...

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 ...

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 ...