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Переводы „nilpotent“ в словаре англо » польский (Перейти к польско » английский)

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Одноязычные примеры (не проверены редакцией PONS)

английский
When "n" is a prime power it is a finite local ring, and its elements are either units or nilpotent.
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Thus, a linear map is nilpotent iff it has a nilpotent matrix in some basis.
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The trace of a nilpotent matrix is zero.
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It is an ascending nilpotent series, at each step taking the "maximal" possible subgroup.
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The converse is clear: an integral domain has no nonzero nilpotent elements, and the zero ideal is the unique minimal prime ideal.
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In other words, it has a normal nilpotent subgroup such that the quotient group is also nilpotent.
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Many properties of nilpotent groups are shared by hypercentral groups.
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The notion of a nilpotent ideal is much stronger than that of a nil ideal in many classes of rings.
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Another example: if a ring is reduced (i.e., has no non-zero nilpotent elements), then so are its localizations.
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A simply connected space and a simple space are (trivial) examples of nilpotent spaces.
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