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Abstract Algebra

Have you ever wondered what would happen if you redefined some of the basic rules of algebra so that concepts you took for granted, like AB = BA, no longer apply? Abstract algebra does just that through the study of the properties that define algebraic structures. Post all questions about fields, rings, group theory, vector spaces, and the axioms that define them into this category.

1,849 Questions

52 equals 2x plus 6x-4?

52 = 2x + (6x +4)

52 = 2x + 6x + 4 (can skip this step)

52 = 8x + 4

52 - 4 = 8x

48 = 8x

48/8 = x (can skip this step)

6 = x

What is the rotation of 305 sbc clockwise or counterclockwise?

The rotation is clockwise.

Answer. If unsure, look at your fan blades, to see which way they rotate!

How do you write -10 3 and -2 -5 in point slope form?

Points: (-10, 3) and (-2, -5)

Slope: -1

Equation: y = -x-7

What is the perimeter of this polygon that had 6 m long?

The answer requires a lot more information than that provided in the question.

What are fermi questions?

I am sure there are lots of questions from Fermi, but I'll bet you mean the Fermi Paradox, which asks, "If there are ETs, where are they?" What he meant by this, is that the time to completely colonize the galaxy is very small compared to the age of the galaxy, so there should be ETs here if they exist at all!" So where are they--or alternatively what is wrong with this idea? For more on this please search "Fermi Paradox".

Does in a commutative ring every ideal is maximal?

No. For instance in R, which is commutative, we have the ideals (2) and (4), where (4) is strictly contained in (2), which is not R. Therefore the ideal (4) is not a maximal ideal.

How do you write a 235 percent as decimal?

you simply differentiate the function and integrate the reamaing trigonometric equation leavin surd form in you ranswer