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2. Algebra - Wikipedia

   en.wikipedia.org/wiki/Algebra

   Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

3. List of lemmas - Wikipedia

   en.wikipedia.org/wiki/List_of_lemmas

   1.6 Ring theory and commutative algebra. 1.7 Universal ... Download as PDF; Printable version; In other projects ... An example of a covering described by the Knaster ...

4. Algebraic structure - Wikipedia

   en.wikipedia.org/wiki/Algebraic_structure

   Addition and multiplication are prototypical examples of operations that combine two elements of a set to produce a third element of the same set. These operations obey several algebraic laws. For example, a + (b + c) = (a + b) + c and a(bc) = (ab)c are associative laws, and a + b = b + a and ab = ba are commutative laws. Many systems studied ...

5. Algebra representation - Wikipedia

   en.wikipedia.org/wiki/Algebra_representation

   In abstract algebra, a representation of an associative algebra is a module for that algebra. Here an associative algebra is a (not necessarily unital) ring.If the algebra is not unital, it may be made so in a standard way (see the adjoint functors page); there is no essential difference between modules for the resulting unital ring, in which the identity acts by the identity mapping, and ...

6. Elementary algebra - Wikipedia

   en.wikipedia.org/wiki/Elementary_algebra

   The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3). For example, log 2 (8) = 3, because 2 3 = 8. The graph gets arbitrarily close to the y axis, but does not meet or intersect it.

7. Glossary of mathematical jargon - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   As an example, the sequence is frequently in the interval (1/2, 3/2), because there are arbitrarily large n for which the value of the sequence is in the interval. formal, formally Qualifies anything that is sufficiently precise to be translated straightforwardly in a formal system.