Notes on the F. K. Schmidt’s “Quasidifferente” in Function-Fields

Notes on Algebra (fields)

Proof. The intersection P of all subfields of F is a field by Exercise 1.4. Consider the ring homomorphism φ : Z → F given by φ(n) = n · 1. Since any subfield contains 1 and is closed under addition, imφ is contained in P . If Char F = p 6= 0 then imφ is isomorphic to Z/pZ = Fp. Since this is a field, we have P = imφ ∼= Fp. If Char F = 0 then φ is injective. Define φ̂ : Q → F by φ̂(m/n) = φ(m)/φ(...

Notes on electric fields

the impact of e-readiness on ec success in public sector in iran the impact of e-readiness on ec success in public sector in iran

acknowledge the importance of e-commerce to their countries and to survival of their businesses and in creating and encouraging an atmosphere for the wide adoption and success of e-commerce in the long term. the investment for implementing e-commerce in the public sector is one of the areas which is focused in government‘s action plan for cross-disciplinary it development and e-readiness in go...

Lecture Notes on Local Fields

In this case, I have corrected the Texnical errors. Also I have corrected some mathematical errors that I found – which were mercifully slight. Overall my 23 year-old mathematical self bears a closer resemblance to the current model than I might have expected (good news or bad?). If I would say something different today, I make a brief comment about it, but I have made no attempt to systematica...

On a $k$-extension of the Nielsen's $beta$-Function

Motivated by the $k$-digamma function, we introduce a $k$-extension of the Nielsen's $beta$-function, and further study some properties and inequalities of the new function.