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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 are the kinds of sets in mathematics?

There are all kinds of sets:The empty set
Sets comprising different kinds of numbers: natural numbers, integers, rational numbers, irrational numbers, real numbers, complex numbers, quaternions, and so on;

Subsets of integers such as odd numbers, primes, multiples of selected integer, powers of integers;

Cyclic groups,

and so on.


What is the value of a 1957 bill r 21177981 a?

More and different information is needed. Please post a new question with the bill's denomination and the letter, if any, after the date. The serial number is not a factor in its value so that doesn't have to be repeated.

How do you find a general statement for Lacsap's Fractions?

if you want a detailed answer... you must pay, you can contact me if you are in the philippines. i know the answer.

What is the value of a 1957b silver certificate x90969801a?

Depending on condition, about $1.25 to 1.50. A dealer will pay face value. Also, a bill's serial number almost never affects its value. The date, series letter, seal color, and condition are the primary factors.

*28359767B worth

What is the value uncirculated 1956 coins?

The answer will depend on the country to which the coins belong, as well as their face value. Since you have chosen not to share this information it is not possible to give a more comprehensive answer.

What can be a rule for math?

A maths rule is every odd becomes an even next number, but you probably knew that.

What is the duration of Threat Matrix?

The duration of Threat Matrix is 3600.0 seconds.

What is the answer of the linear combinations of 5x 9y6 45 and 2x-7y5?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals".

Is there a scholarly discussion of the origin of the Hebrew punctuation points?

No, in fact there are no original Hebrew punctuation points. traditional punctuation points were invented after the 9th century...long after the Hebrew Bible was written.

The most common "original-ish" punctuation points are:

  • maqaf (־)
  • geresh (׳)
  • gershayim (״)
  • meteg ( ֽ )
  • inverted nun (׆)
  • sof pasuq (׃)
  • paseq (׀)


You can find a scholarly description of both traditional and modern symbols here.

How was algebra invented?

Algebra was invented by Muslims in ancient times.

How is the convergence of a sequence defined?

Let B, D be a metric space, p be any positive number, m be a positive integer, and {sn}, n Є N be a sequence in B. Then sn converges to a point c Є B if given there's an m for every p such that n > m, then sn Є N(c, p), the D-pneighborhood of c. c is said to be the limit of sn and can be written sn --> c.

See related links for more information.

Should you divide by zero?

You cannot divide by zero. The answer would be undefined.

Well, you wouldn't kill anyone by doing so, but you wouldn't accomplish anything either.

What are the elementry matrices?

An elementary matrix is a matrix obtained from the identity matrix following one of the following row operations:

  1. Swap 2 rows;
  2. Multiply any row by a non-zero constant;
  3. Replace a row by the sum of itself and a non-zero multiple of another row.


How do you do the equation 4dividedby3 pi radius cubed Example please?

It's used in finding the volume of a sphere which is: Volume = 4/3*pi*radius3

How many second does days have?

While certain famous equations, such as Albert Einstein's E = mc^2, hog most of the public glory, many less familiar formulas have their champions among scientists. LiveScience asked physicists, astronomers and mathematicians for their favorite equations; here's what we found:"It is still amazing to me that one such mathematical equation can describe what space-time is all about," said Space Telescope Science Institute astrophysicist Mario Livio, who nominated the equation as his favorite. "All of Einstein's true genius is embodied in this equation." [Einstein Quiz: Test Your Knowledge of the Genius]

"The right-hand side of this equation describes the energy contents of our universe (including the 'dark energy' that propels the current cosmic acceleration)," Livio explained. "The left-hand side describes the geometry of space-time. The equality reflects the fact that in Einstein's general relativity, mass and energy determine the geometry, and concomitantly the curvature, which is a manifestation of what we call gravity." [6 Weird Facts About Gravity]

"It's a very elegant equation," said Kyle Cranmer, a physicist at New York University, adding that the equation reveals the relationship between space-time and matter and energy. "This equation tells you how they are related - how the presence of the sun warps space-time so that the Earth moves around it in orbit, etc. It also tells you how the universe evolved since the Big Bang and predicts that there should be black holes."

What is the value of Remington 1100 serial m124188v?

DEPENDING ON THE CONDITION,THEY GO AROUND 300TO 500 DOLLAR RANGE.IF YOU GO TO THE REMINGTON SITE THEY WILL TELL YOU MORE INFO...