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  2. 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 ...

  3. 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.

  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. Outline of algebraic structures - Wikipedia

    en.wikipedia.org/wiki/Outline_of_algebraic...

    In mathematics, many types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures may be viewed in different ways, however the common starting point of algebra texts is that an algebraic object incorporates one or more sets with one or more binary operations or unary operations satisfying a ...

  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. Wheel theory - Wikipedia

    en.wikipedia.org/wiki/Wheel_theory

    A wheel is an algebraic structure (,,, +,, /), in which . is a set, and are elements of that set, + and are binary operations, / is a unary operation, and satisfying the following properties:

  8. 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.

  9. List of algebras - Wikipedia

    en.wikipedia.org/wiki/List_of_algebras

    This is a list of possibly nonassociative algebras.An algebra is a module, wherein you can also multiply two module elements. (The multiplication in the module is compatible with multiplication-by-scalars from the base ring).

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