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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

What is decimal notation?

its 5.5 rather than 5 and a half (or 5 1/2)

It means that you represent fractions of numbers in tenths (and hundredths, thousandths, etc) rather than in fractions (or in eighths or twelfths or some such).

the above notation would be expected in the US. However, in Europe, the notation would be 5,5 for 5 and a half. Basically, the Europeans reverse the use of comma and period in their decimal notation.

What is the value of a Colt 45 A1?

300 to multiple thousnds depending on overall condition, sn, finish, accessories, etc..

What is the value of a Ruger 264 Mark II 1 of 1000 50 years 1949-1999?

as far as I know,you are talking about 2 different guns.I was told today because I was thinking of purchasing a 1 in 1000,not a 50th year.

the 1 in 1000 is the last 1000 mark 2's that were made,they are also stainless not blue.the value of that gun I was told I have not scene it for my own eyes is somewhere around 700.00.

the 50th year I still see a lot of at the gun shows.I purchased 1 two weeks ago for 250.00,used,has been shot,but it is in 99% condition,no blue is gone.but of coarse it did not have a box.I see them all day new in box for 350.00 I hope this is correct,but it was what I was told not what I have in my books on value,have not found a book that shows all the values on special runs.

How many seconds are there in a decade?

315,532,800 or 315,619,200 seconds in a decade. Depending on whether the decade contains two leap years, or three (both is possible!)...

(60*60*24*365*10) + (60*60*24*2 or 3)

10 years of 365 days + 2 or 3 days for leap years.

Still, you might be off by a few leap seconds. These are inserted (or removed) because the earth is not as precise a timekeeper as cesium. The decade beginning 1/1/1970 added 8 leap seconds. The decade beginning 1/1/1980 brought 6. The next decade brought 7, and the decade beginning 1/1/2000 had only 2. The average decade seems to get about 6 of these things, but only time will tell how many we will see in the future.

What is the solution of -2x 8 20?

If you mean: -2x+8+20 then it can be simplified to 28-2x

What is the value of a 1922 Kennedy 50 piece?

Kennedy half dollars (50 cent pieces) have only been minted since 1964. And in any case, JFK was only 5 years old in 1922 and on top of that the U.S. didn't mint ANY half dollars in 1922.

Where algebra originate?

The first systematic book on algebra was written in Baghdad, Iraq. However, algebraic methods were also used in China, India, Egypt and Greece long before that.

What are the some filipino values that use until now?

Some Filipino Values that we use until now is to be a Religious,we devote time to connect with our God,we have strong Faith,beleiving that problems and adversities in life will surpass with the help and providence of our God.

We still respect the elders no matter how the situation occurred.

Are set of integers are cyclic under addition?

No. The additive identity, 0, is the only value such that A*0 = 0 for any non-zero element A of the set.

What is the value of a 1968D dime?

10 cents.

These coins are regularly found in circulation so I'm curious as to what led you to suspect it might be worth more than face value.

What is the value of a 1948 schilling?

Please post a more specific question giving the coin's country of origin. Several English-speaking countries used shillingswhile German-speaking countries used schillings.

Prove that every a cyclic group is an abelia?

Let G be the cyclic group generated by x, say. Ten every elt of G is of the form x^a, for some a

What one is centimeters length wingspan or mass?

There is no such measure as a centermeter.

A centimetre is a measure of distance so a wingspan seems a reasonable option (for an insect).

There is no such measure as a centermeter.

A centimetre is a measure of distance so a wingspan seems a reasonable option (for an insect).

There is no such measure as a centermeter.

A centimetre is a measure of distance so a wingspan seems a reasonable option (for an insect).

There is no such measure as a centermeter.

A centimetre is a measure of distance so a wingspan seems a reasonable option (for an insect).

What is the answer for t-3 for algebra?

t - 3 is an expression: not en equation nor an inequality. therefore, there cannot be an answer.

Is gravitational field scalar or vector?

The gravitational force fields are both scalar and vector. The forces are the first derivative of the energy.

The derivative is a Quaternion derivative X=[d/dr,Del].


The total energy is W = -mGM/r + cP and there are five forces,

F = XW= [d/dr,Del][-mGM/r, cP] = [vp/r -cDel.P, cdP/dr - Del mGM/r + cDelxP]


The scalar forces are :

vp/r centripetal scalar force

-cDel.P= -cp/r cos(PR) centrifugal scalar force


the vector forces are:

cdP/dr = -cp/r R/r tangent force

Del -mGM/r = vp/r R/r gradient force

cDelxP = RxP cp/r sin(PR) Curl force.