Morphism

A morphism in Algebra is bascailly changing the coordinates of a vector using the same space or going from one space to another. Here is a list of some morphism:

• Monomorphism: f: X -> Y is a monomorphism if f ∘ g1 = f ∘ g2 .It implies that g1=g2 and X ->Z
• Epimorphism: f:X -> Y is a epimorphism if f ∘ g1 = g ∘ g2 implying that g1 = g2 and Y -> Z

       A monomorphism and an epimorphism together form a bimorphism.

• Isomorphism: f: X -> Y is an isomorphism if a morphism g : Y → X such that f ∘ g = id_Y and g ∘f = id_X. If a morphism has both left-inverse and right-inverse, then the two inverses are equal, so f is an isomorphism, and g is called simply the inverse of f.
• Endomorphism:  f : X → X is an endomorphism of X. A split endomorphism is an idempotent endomorphism f if f admits a decomposition f = h ∘ g with g ∘ h = id. 

       An isomorphism and an endomorphism from a automorphism.

Interview

Here we have an interview with Alonso Martinéz Cuenca, ex-worker in General Electric.

So what did you study at university and where?

I studied Electronical Engineering at Universidad Complutense, Spain.

In how many companies have your worked?

I've been working in two companies. Both of them related with the same activity: Electronic devices.

Can you tell me some of your tasks in both companies?

The first one was "Compagnie General du Electronique"(CGE). It was a french company that manifactured electronical devices for diagnostic imagin, computes, etc, from year 1974 to 1982. Along these eight years, I was working in the technical service in charge of the maintenance  devices of this company as well as ultrasound  systems.

The other company was "General Electric" (GE). In 1984 CGE joined to GEH and I was in charge of technical support for Computed Microchips (CM). After six years I started to do electronical applications, helping to the Engineering department to develop tools for circuits in CM. Eight years later, I started to work in the Marketing and Sales department, finishing my laboral activity as a MR sales specialist.

So, your career's knowledge was very useful in here...

Of course. As I started in a technical department, all my career was very useful and I had to apply all my knowledge when I was working in the field, reparing the different devices as well as developing electrical and electronical instalations.

Did you have to travel in the development of you laboral duties and how often?

Yes, I had to travel along Iberia mainly, but I had to travel to some european countries and Africa to do clinical applications and to the USA to perform some training twice per year.

Did the market keep seeling electronical devices despite the crisis in our country?

The crisis has affected to this kind of companies specially because the social security that is the biggest buyer for this kind of devices has reduced dramatrically the adquisition of this imaging diagnostic devices.

Do you think the market will rise again in a few years?

Fortunately, in the middle of 2015 the market will start to increase their activity and the operating planning has been risen a 4 % over the expectation. 

Introduction

This is the final part of this blog, taking the Algebra subject. I'll make six posts about the subject, similar to the first part of the blog (calculus).