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In mathematics, more specifically abstract algebra and commutative algebra, Nakayama's lemma — also known as the Krull–Azumaya theorem [1] — governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely generated modules.
In mathematics, and more specifically in ring theory, Krull's theorem, named after Wolfgang Krull, asserts that a nonzero ring [1] has at least one maximal ideal. The theorem was proved in 1929 by Krull, who used transfinite induction .
In 1912–13 while in university he published a number of mathematical works on group theory which laid foundation for Krull–Schmidt theorem. [2] A young Schmidt in 1912. In 1913, Schmidt married Vera Yanitskaia and graduated from the Saint Vladimir Imperial University of Kiev, where he worked as a privat-docent starting from 1916.
Created Date: 8/30/2012 4:52:52 PM
1980–1981 Ian Gilbert Philip: The Bodleian Library in the Seventeenth and Eighteenth Centuries; 1981–1982 Berthold Wolpe: The Quest for Beauchesne: Contributions to the History of Elizabethan Calligraphy and Print-Making; 1982–1983 Jonathan J.G. Alexander: Creation and Transmission: Methods of Work of Manuscript Illuminators in the Middle ...
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A number of conditions appear to influence the likelihood of engaging in self-verification: the importance (Swann & Pelham 2002), extremity, [9] and certainty [10] of a self-view, as well as a perceived threat to identity (Swann et al., 2002), the intelligence of an evaluator, [citation needed] or the importance of the interactional partner ...
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