kaplansky theorem - Axtarish в Google
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In abstract algebra, Kaplansky's theorem on projective modules, first proven by Irving Kaplansky, states that a projective module over a local ring is free; ...
In the theory of von Neumann algebras, the Kaplansky density theorem, due to Irving Kaplansky, is a fundamental approximation theorem.
Kaplansky density theorem Kaplansky density theorem
В теории алгебр фон Неймана теорема плотности Капланского, принадлежащая Ирвингу Каплански, является фундаментальной аппроксимационной теоремой. Важность и вездесущность этого технического инструмента привели Герта Педерсена к комментарию в одной... Википедия (Английский язык)
Theorem 2. If every prime ideal of R is principal, then R is a principal ideal ring. Proof. Suppose there exists an ideal A of R which ...
By the theorem of Kaplansky a bounded operator in a Banach space is algebraic if and only if it is locally algebraic. We prove a generalization of this theorem ...
1. A well-known theorem of Kaplansky states that any projective module is a direct sum of countably generated modules (see [7]).
Abstract: Using the example of modules and a number of familiar Abelian groups, we demonstrate the Kaplansky method of proving isomorphism theorems for ...
29 авг. 2009 г. · The well-known Jaffard–Ohm–Kaplansky Theorem states that every abelian ℓ-group can be realized as the group of divisibility of a commutat.
By reformulating the Baer-Kaplansky Theorem it is shown that it holds for large classes of modules over arbitrary rings. New classes of modules satisfying ...
18 февр. 2016 г. · Indeed, Kaplansky's Theorem unifies well-known theorems of Kolchin and Levitzki on simultaneous triangularizability of semigroups of unipotent ...
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