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  2. Abstract algebra - Wikipedia

    en.wikipedia.org/wiki/Abstract_algebra

    In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [1] Algebraic structures include groups , rings , fields , modules , vector spaces , lattices , and algebras over a field .

  3. Jordan algebra - Wikipedia

    en.wikipedia.org/wiki/Jordan_algebra

    Not every Jordan algebra is formally real, but Jordan, von Neumann & Wigner (1934) classified the finite-dimensional formally real Jordan algebras, also called Euclidean Jordan algebras. Every formally real Jordan algebra can be written as a direct sum of so-called simple ones, which are not themselves direct sums in a nontrivial way. In finite ...

  4. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    One of the basic principles of algebra is that one can multiply both sides of an equation by the same expression without changing the equation's solutions. However, strictly speaking, this is not true, in that multiplication by certain expressions may introduce new solutions that were not present before. For example, consider the following ...

  5. History of algebra - Wikipedia

    en.wikipedia.org/wiki/History_of_algebra

    The word "algebra" is derived from the Arabic word الجبر al-jabr, and this comes from the treatise written in the year 830 by the medieval Persian mathematician, Al-Khwārizmī, whose Arabic title, Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala, can be translated as The Compendious Book on Calculation by Completion and Balancing.

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    Hoka Bondi 8 . $132 $165 Save $33. We were thrilled to spot our best overall orthopedic shoes for those with foot pain on sale at Nordstrom for a limited time. The Hoka Bondi 8 is a walking and ...

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    It doesn't get more festive than a dazzling display of lights and mini-Christmas trees lining the hotel's lobby. The lobby, named "Waldorf Wonderland," is, per the hotel, enveloped in 112,000 ...

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