Dear MHF hello ,
I came acrross your community as i was surfing through the internet anxiously and with much agony.
I would like to say hello to you all eager young minds as John Nash would state(Or Russell Crow in A Beautiful Mind).
I have been struggling the past couple days with two problems.
I was given two problems from my teacher in order to complete my masters essay that is necessary in order to complete my graduation paper.
Nevertheless i have struggled a lot to find any solution.
Few days ago i was submitted to surgery for my eye(Keratoconus) and my vision is extremely blurry.
Therefore i cannot make it happen to take the proper time and care for the problems due to the blurry vision and postoperative stress-pain i am experiencing.I am writting to you with great difficulty.
In this point i would like to express my deepest most humble apologies for the blunt , sudden nature of my message.
I would be much humbly obliged to anyone that can provide me with help-solutions of the problems.
My deepest most heartwarming graditutes from the depths of my soul for your pure warm interest and aprroach.
Here are the following problems.
- R least RCI(Region of Central Ideas) with an typification F:Rn->Rn that is an homomorphism of R prototypes , which homomorphism is a surjection. Prove that it is a ratio 1:1
- n , m belong to N total with an additive (prosthetic) typification F:Zn->Zm.Prove that an isomorphism of abelian groups exist.Specifically prove that Zn\nsimeq Kerf + Imf.(If it doesnt make sense because i do not have latex writting else Zn=Kerf + Imf)
My deepest graditutes for your invaluable help and time devoting in my silly matter.
My apologies for my rusty English.
May wealth , happiness , love , health thrive in every sector of your life.
Best Wishes ,