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  2. Free module - Wikipedia

    en.wikipedia.org/wiki/Free_module

    Let R be a ring.. R is a free module of rank one over itself (either as a left or right module); any unit element is a basis.; More generally, If R is commutative, a nonzero ideal I of R is free if and only if it is a principal ideal generated by a nonzerodivisor, with a generator being a basis.

  3. Fundamental vector field - Wikipedia

    en.wikipedia.org/wiki/Fundamental_vector_field

    Fundamental vector field. In the study of mathematics and especially differential geometry, fundamental vector fields are an instrument that describes the infinitesimal behaviour of a smooth Lie group action on a smooth manifold. Such vector fields find important applications in the study of Lie theory, symplectic geometry, and the study of ...

  4. Left–right political spectrum - Wikipedia

    en.wikipedia.org/wiki/Leftright_political...

    t. e. The left–right political spectrum is a system of classifying political positions, ideologies and parties, with emphasis placed upon issues of social equality and social hierarchy. In addition to positions on the left and on the right, there are centrist and moderate positions, which are not strongly aligned with either end of the spectrum.

  5. FBI mnemonics - Wikipedia

    en.wikipedia.org/wiki/FBI_mnemonics

    FBI mnemonics. The various FBI mnemonics (for electric motors) show the direction of the force on a conductor carrying a current in a magnetic field as predicted by Fleming's left hand rule for motors [1] and Faraday's law of induction. Other mnemonics exist that use a right hand rule for predicting resulting motion from a preexisting current ...

  6. Political spectrum - Wikipedia

    en.wikipedia.org/wiki/Political_spectrum

    A political spectrum is a system to characterize and classify different political positions in relation to one another. These positions sit upon one or more geometric axes that represent independent political dimensions. [1] The expressions political compass and political map are used to refer to the political spectrum as well, especially to ...

  7. Ideal (ring theory) - Wikipedia

    en.wikipedia.org/wiki/Ideal_(ring_theory)

    Ideal correspondence: Given a surjective ring homomorphism ⁠: ⁠, there is a bijective order-preserving correspondence between the left (resp. right, two-sided) ideals of containing the kernel of and the left (resp. right, two-sided) ideals of : the correspondence is given by () and the pre-image ⁠ ⁠.

  8. Fleming's left-hand rule for motors - Wikipedia

    en.wikipedia.org/wiki/Fleming's_left-hand_rule...

    Fleming's left-hand rule. Fleming's left-hand rule for electric motors is one of a pair of visual mnemonics, the other being Fleming's right-hand rule for generators. [1] [2] [3] They were originated by John Ambrose Fleming, in the late 19th century, as a simple way of working out the direction of motion in an electric motor, or the direction of electric current in an electric generator.

  9. List of generic names of political parties - Wikipedia

    en.wikipedia.org/wiki/List_of_generic_names_of...

    United Democratic Party. Equality Party. Fascist Party. Fatherland Party and Fatherland Union. Union of Democratic Forces. Free Democratic Party. First Party. Freedom Party. Green Party.