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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

Who coined algebra?

The word derives from the arabic word "al-gabr", which was in use for many years before it was used in the title of a book written in 830 by the medieval Persian mathematician, Muhammad ibn Mūsā al-Khwārizmī. The book was entitled Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala, and was the first compilation of algebraic processes.

How do you write 0.955 as a percentage?

0.955 written as a percentage is 95.5%. Whenever you turn a decimal into a percentage, move the decimal over two times to the right.

5260 3 7 5263 7?

Putting a question mark at the end of a sequence of a few numbers does not make it a sensible question.

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.

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.