Abstract Algebra, Mathematics

let R be a (noncommutative) ring. Given that a,b and a+b ? R are all units, prove that a^(-1)+b^(-1) is a unit
Posted Date: 10/2/2012 4:34:01 PM | Location : United States







Related Discussions:- Abstract Algebra, Assignment Help, Ask Question on Abstract Algebra, Get Answer, Expert's Help, Abstract Algebra Discussions

Write discussion on Abstract Algebra
Your posts are moderated
Related Questions
Evaluate both of the following limits. Solution : Firstly, the only difference among these two is that one is going to +ve infinity and the other is going to negative inf

John has a choice of using one of two parking garages when he visits downtown: Option1:  $8 an hour for the first two hours, then $2 and hour for each hour more than 2; or Op

What is Permutations explain with examples? Each arrangement of a set of elements is called a permutation. In other words, every possible way (order) of writing a group of lett

Before going further, let us repeat an aspect of learning which is useful to keep in mind while formulating teaching strategies. A child who can add or subtract in the context of s

DECISION THEORY People constantly make decisions in their private lives as well as in their work. Some decisions are qualitative in terms of their implications and signi

1. Suppose the arrival times of phone calls in a help centre follow a Poisson process with rate 20 per hour (so the inter-arrival times are independent exponential random variables

Question: (a) Suppose that a cookie shop has four different kinds of cookies. Assuming that only the type of cookie, and not the individual cookies or the order in which they

Find out the x-intercepts & y-intercepts for each of the following equations.                            y =x 2 +x - 6 Solution As verification for each of these we wil

if b+c=3a then the value of cotB/2.cotC/2 is equal to

what are 20 integer equations that have multiplication, division, subtraction,and additon??