| 41. | Islamic mathematics could be divided into algebra, geometry and arithmetic.
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| 42. | Algebra was mainly used for recreation and had few practical applications.
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| 43. | Dynkin diagrams classify " complex " semisimple Lie algebras.
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| 44. | In particular, they form a finite-dimensional Lie algebra.
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| 45. | Locally compact quantum groups generalize Hopf algebras and carry a topology.
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| 46. | He addressed the question of rigour by recourse to commutative algebra.
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| 47. | A simple ring can always be considered as a simple algebra.
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| 48. | Note that the Lie algebra of the Heisenberg group is nilpotent.
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| 49. | This level of abstraction revealed connections between geometry and abstract algebra.
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| 50. | The study of such objects is sometimes called super linear algebra.
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