TUGAS ABSTRACT ALGEBRA (2)

TUGAS ABSTRACT ALGEBRA

Dari Randall B. Maddox

Exercise 6.1 Page 215

12. Let G be a group,and fix some g element of G. Define f:G -> G by f(x)=g*x for all  x element of  G. Show that f is one to one function from G onto G.

See the answer here

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Himpunan (1)

Definisi:

Himpunan adalah kumpulan obyek-obyek yang terdefinisi dengan baik.

Metode untuk mendeskripsikan suatu himpunan:

  1. Dengan metode tabulasi (mendata semua anggota)
  2. Dengan metode pembentuk himpunan.

Himpunan Bagian (Subset):

A disebut himpunan bagian dari B jika semua anggota A merupakan anggota B. Continue reading

Abstract Algebra (Group)

Definition:

Let G be a nonempty set  together with binary operation. We say G is a group under this operation if the following properties are satisfied :

1.  Closure.

Any pair of elements can be combined without going outside the set.

2. Associativity.

The operation is associative, that is (ab)c=a(bc)  for all a,b,c  in G.

3. Identity.

There is an element e in G, such that ae=ea=a for all a in G.

4. Inverses.

For each element in G, there is an element b in G such that ab=ba=e.

Example:

Continue reading

Problem Solving by Dr Montague

Few days ago i saw an article about Math Problem Solving for Upper Elementary Students with Disabilities by Marjorie Montague, Ph.D .  This article describes about some strategies to help children  solve the problems. I think this article is interesting and very useful for a teacher. For continuing, click here