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Algebra N SCHOOL

abstract algebra MATH

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Monolingual examples (not verified by PONS Editors)

English
They have claimed that people can remember algebra they learnt from school even years later.
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As such number sentences are used to introduce students to notions of structure and algebra prior to a more formal treatment of these concepts.
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Theoretical studies included navigation, theory of flight, meteorology, duties of an officer, air force administration, algebra, and trigonometry.
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So in the finite-dimensional case, the theories of algebras and of coalgebras are dual; studying one is equivalent to studying the other.
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In the above example of the complex numbers viewed as a two-dimensional algebra over the real numbers, the one-dimensional real line is a subalgebra.
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Here, it provides rules for how to deform the classical commutative algebra of observables to a quantum non-commutative algebra of observables.
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The universal property of the tensor product of vector spaces extends to more general situations in abstract algebra.
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The algebra of dual numbers is a ring that is a local ring since the principal ideal generated by is its only maximal ideal.
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An immediate example of simple algebras are division algebras, where every element has a multiplicative inverse, for instance, the real algebra of quaternions.
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It is a member of the family of mathematical theories of concurrency known as process algebras or process calculi.
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