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Что (кто) такое unipotent element - определение

ONE PLUS NILPOTENT ELEMENT

Unipotent radical; Unipotent element; Unipotent matrix; Quasi-unipotent; Unipotent matrices; Unipotent group; Unipotent algebraic group; K-Unipotent groups for a field k and its completion; Unipotential

Unipotent

In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element; in other words, (r − 1)n is zero for some n.

https://en.wikipedia.org/wiki/Unipotent

Element (mathematics)

ANY ONE OF THE DISTINCT OBJECTS THAT MAKE UP A SET IN SET THEORY

Element (math); Element (set theory); ∈; ∉; Element (set); Set membership; ∋; Set element; Element (statistics); In (set); Element (group theory); Membership (set theory); ∊; ∍; ∌; Belongs to; Membership relation; Element of; /in

In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set.

https://en.wikipedia.org/wiki/Element_(mathematics)

Element (criminal law)

FACT THAT MUST BE PROVEN, UNDER USA CRIMINAL LAW

Elements of crime; Element of a crime; Element (criminal); Elements of an offense; Elements of the offense; Element of the offense; Element of an offense; Criminal elements

Under United States law, an element of a crime (or element of an offense) is one of a set of facts that must all be proven to convict a defendant of a crime. Before a court finds a defendant guilty of a criminal offense, the prosecution must present evidence that, even when opposed by any evidence the defense may choose, is credible and sufficient to prove beyond a reasonable doubt that the defendant committed each element of the particular crime charged.

https://en.wikipedia.org/wiki/Element_(criminal_law)

Википедия

Unipotent

In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element; in other words, (r − 1)ⁿ is zero for some n.

In particular, a square matrix M is a unipotent matrix if and only if its characteristic polynomial P(t) is a power of t − 1. Thus all the eigenvalues of a unipotent matrix are 1.

The term quasi-unipotent means that some power is unipotent, for example for a diagonalizable matrix with eigenvalues that are all roots of unity.

In the theory of algebraic groups, a group element is unipotent if it acts unipotently in a certain natural group representation. A unipotent affine algebraic group is then a group with all elements unipotent.

https://en.wikipedia.org/wiki/Unipotent