Algebraic Structures

Some articles on algebraic structures, structure, structures, algebraic:

Field (mathematics) - Related Algebraic Structures
... ring Skew field or Division ring Field Abelian (additive) group structure Yes Yes Yes Yes Multiplicative structure and distributivity Yes Yes Yes Yes Commutativity of ... The structure of a field is hence the same as specifying such two group structures (on the same set), obeying the distributivity ... Important other algebraic structures such as rings arise when requiring only part of the above axioms ...
Outline Of Algebraic Structures
... In mathematics, there are many types of algebraic structures which 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 ...
Outline Of Algebraic Structures - Study of Algebraic Structures
... Algebraic structures appear in most branches of mathematics, and students can encounter them in many different ways ... vector spaces and fields are generally the first structures encountered in subjects such as linear algebra ... algebra studies properties of specific algebraic structures ...

Famous quotes containing the words structures and/or algebraic:

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    Mother Teresa (b. 1910)

    I have no scheme about it,—no designs on men at all; and, if I had, my mode would be to tempt them with the fruit, and not with the manure. To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives?—and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared, to live more worthily and profitably?
    Henry David Thoreau (1817–1862)