Biological Notes on the Smaller Tea Tortrix (Part 4)

Notes on P - Algebra ( 4 ) : Algebra over ProcessStructure , Part I .

We develop theory of algebra over processes, based on an abstract treatment of process structure. The abstract framework of process structures is developed (Part I), and, on its basis, theory of algebra is developed where the basic results including Birkho -like Variety Theorem are proved (Part II). We also discuss properties of signi cant concrete examples of algebras, taken from extant theori...

Notes on the Control of Kala-Azar on Tea Estates

Notes on Sandflies. Part II

Notes on Sandflies. Part I

4 Notes on normed algebras , 4

Let A be a finite-dimensional algebra over the complex numbers with nonzero identity element e. If x ∈ A, then the resolvent set associated to x is the set ρ(x) of complex numbers λ such that λ e − x is invertible, and the spectrum of x is the set σ(x) of complex numbers λ such that λ e − x is not invertible. For instance, if V is a finite-dimensional vector space over the complex numbers of po...