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

Abstract: The problem of giving a spectral factorization of a class of matrices arising in Wiener filtering theory and network synthesis is tackled via an algebraic procedure. A quadratic matrix ...

New algorithms for prime factorization that outperform the existing ones or take advantage of particular properties of the prime factors can have a practical impact on present implementations of ...

The PPF framework extends classical number theory by treating -1 as a special "Sign Prime", creating multiple valid factorizations for integers and enabling a number-theoretic model of quantum ...

Abstract: The problem of giving a spectral factorization of a class of matrices arising in Wiener filtering theory and network synthesis is tackled via an algebraic procedure. A quadratic matrix ...

The behavior of the scattering amplitude in the vicinity of a physical Landau singularity is considered. It is shown that its singular part may be written as an algebraic product of the scattering ...

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 ...

Breast cancer is a heterogeneous disease, with reproducible and prognostically important subclasses. Breast cancer cell lines are widely used to study preclinical investigational agents, but the ...