Topic: Abstract Algebra and Homomorphisms
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How to solve abstract algebra about homomorphism?
Let f :Q→G be a group homomorphism, where |G| = n for some positive integer n. So, Lagrange's Theorem implies that g^n = e for all g in G. Given any x in Q, we have f(x) = f(n * x/n) .....= [f(x/n)]^n, since f is a homomorphism .....= e, si... Read More »
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What is Abstract Algebra?
The mathematically related field of abstract alegbra is a field which circumvents various fields such as alegebraic structures, groups, modules and fields. Physics is an example of a field that uses mathematics in the form of abstract algeb... Read More »
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How to Understand Abstract Algebra
Abstract algebra is a term used to describe a mathematical system consisting of a set of elements and binary operations with rules governing their interaction. This is distinct from elementary algebra which teaches the rules for manipulatin... Read More »
Source: http://www.ehow.com/how_2096889_understand-abstract-algebra.html
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Abstract Algebra and Homomorphisms
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Quoting : How many homomorphisms are there from Z20 onto Z8? To map from , you can find out where to Send the generator of . Since the generator of has order 20, it must be mapped to an Element of order 1, 2, 4, 5, 10, or 20; these are the ...
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By definition, none. For if it did have real life applications it would not be called abstract!
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Emmy Noether See website: http://www.agnesscott.edu/lriddle/women/noether.htm
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Yzzil, I don't know shizizzle about that. You asked the same question about volleyball. I think the same applies to both.
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Source: http://answers.yahoo.com/question/index?qid=20080314060230AASY3jz
Because it deals not with numbers, but with relationships between sets of things under various operations. These things can be numbers, but they don't have to be. And the operations defined on them can be the usual arithmetic operations, bu...
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Source: http://answers.yahoo.com/question/index?qid=20070613024202AAHhn7t
A mathmatical study in which volleyball is represented in algebraic structures such as vector spaces. Abstract algebra can be applied to any type of sport representing them in algebraic structures.
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