Let k be a field of characteristic two. We prove that monic polynomial f∈k[X] degree n≥1 is the minimal/characteristic symmetric matrix with entries in if and only it not product pairwise distinct inseparable irreducible polynomials. In this case, we f minimal size n. also any element α∈kalg eigenvalue n or n+1, first case happening α separable.

Background: Accurate and rapid assessment of allograft function is essential in renal transplant recipients in order to detect allograft rejection and to monitor drug nephrotoxicity. We aimed to evaluate the usefulness of cystatin C as a marker of kidney allograft function in the early post-transplant period and to compare this value with that of conventional serum creatinine concentration. Met...

in this study, the biosynthesis of gold nanoparticles by penicillium chrysogenum, isolated from ahar copper mine, was investigated. the gold nanoparticles were synthesized by reducing the aqueous gold ions using the culture supernatant of the filamentous fungi. the uv–vis spectrum displayed a characteristic peak at 532 nm that is very specific for gold nanoparticles. the xrd spectrum confirmed ...