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* Every endomorphism of M is either nilpotent or invertible.

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## Some Related Sentences

Every and endomorphism

Consider a Lie algebra g over a field K

**.**__Every__element x**of**g defines the adjoint__endomorphism__ad ( x ) ( also written as ad < sub > x </ sub >)**of**g with the help**of**the Lie bracket, as

Every and M

*****In any ring R, a maximal ideal

**is**an ideal

__M__that

**is**maximal in the set

**of**all proper ideals

**of**R, i

**.**e

**.**

__M__

**is**contained in exactly 2 ideals

**of**R, namely

__M__itself and the entire ring R

**.**

__Every__maximal ideal

**is**in fact prime

**.**

__Every__smooth (

**or**differentiable ) map φ:

__M__→ N between smooth (

**or**differentiable ) manifolds induces natural linear maps between the corresponding tangent spaces:

__Every__measurable cardinal κ

**is**a 0-huge cardinal because < sup > κ </ sup >

__M__⊂

__M__, that

**is**, every function from κ to

__M__

**is**in

__M__

**.**Consequently, V < sub > κ + 1 </ sub >⊂

__M__

**.**

:

__Every__countable theory which**is**satisfiable in a model__M__,**is**satisfiable in a countable substructure**of**__M__**.*******Siegal,

__M__., Cornell Feline Health Center ( Editors ) ( 1989 ) The Cornell Book

**of**Cats: A Comprehensive Medical Reference for

__Every__Cat and Kitten

**.**

__Every__year about 5000 applications are received, out

**of**which about 300 students ( around 150 in each year ) are enrolled in the 2 year full time

__M__

**.**Tech

**.**

__Every__hyperkähler manifold

__M__has a 2-sphere

**of**complex structures ( i

**.**e

**.**integrable almost complex structures ) with respect to which the metric

**is**Kähler

**.**

__Every__finite-length module

__M__has a composition series, and the length

**of**every such composition series

**is**equal to the length

**of**

__M__

**.**

*****

__Every__direct summand

**of**

__M__

**is**pure in

__M__

**.**Consequently, every subspace

**of**a vector space over a field

**is**pure

**.**

Every and is

__Every__legislator from Brasstown Bald to Folkston

__is__going to have his every vote subjected to the closest scrutiny as a test

**of**his political allegiances, not his convictions

**.**

__Every__detail in his interpretation has been beautifully thought out, and

**of**these I would especially cite the delicious laendler touch the pianist brings to the fifth variation ( an obvious indication that he

__is__playing with Viennese musicians ), and the gossamer shading throughout

**.**

__Every__taxpayer

__is__well aware

**of**the vast size

**of**our annual defense budget and most

**of**our readers also realize that a large portion

**of**these expenditures go for military electronics

**.**

__Every__few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it

__is__by ancient brick vaulting

**.**

__Every__dream, and this

__is__true

**of**a mental image

**of**any type even though it may be readily interpreted into its equivalent

**of**wakeful thought,

__is__a psychic phenomenon for which no explanation

__is__available

**.**

__Every__library borrower,

**or**at least those whose taste goes beyond the five-cent fiction rentals, knows what it

__is__to hear the librarian say apologetically, `` I'm sorry, but we don't have that book

**.**

__Every__community, if it

__is__alive has a spirit, and that spirit

__is__the center

**of**its unity and identity

**.**

The restricted principle "

__Every__partially ordered set has a maximal totally ordered subset "__is__also equivalent to AC over ZF**.**__Every__natural-born citizen

**of**a foreign state who

__is__also an American citizen and every natural-born American citizen who

__is__a citizen

**of**a foreign land owes a double allegiance, one to the United States, and one to his homeland ( in the event

**of**an immigrant becoming a citizen

**of**the US ),

**or**to his adopted land ( in the event

**of**an emigrant natural born citizen

**of**the US becoming a citizen

**of**another nation ).

__Every__line

**of**written text

__is__a mere reflection

**of**references from any

**of**a multitude

**of**traditions,

**or**, as Barthes puts it, " the text

__is__a tissue

**of**quotations drawn from the innumerable centres

**of**culture "; it

__is__never original

**.**

__Every__year, on the last Sunday in April, there

__is__an ice fishing competition in the frozen estuarine waters

**of**the Anadyr River's mouth

**.**

__Every__lattice element

**of**the structure

__is__in its proper place, whether it

__is__a single atom

**or**a molecular grouping

**.**

Every and either

Hilbert's example: " the assertion that

__either__there are only finitely many prime numbers**or**there are infinitely many " ( quoted in Davis 2000: 97 ); and Brouwer's: "__Every__mathematical species**is**__either__finite**or**infinite**.*******

__Every__formal address

**or**message " to the nation "

**or**to

__either__

**or**both Houses

**of**the Oireachtas must have prior approval

**of**the Government

**.**

Belkis Lora, a relative

**of**a passenger on the crashed flight, said "__Every__Dominican in New York has__either__taken that flight**or**knows someone who has**.**
" Aside from merely disputing readings

**of**his own work, however, in " Letter on ' Humanism ,'" Heidegger asserts that "__Every__humanism**is**__either__grounded in a metaphysics**or****is**itself made to be the ground**of**one**.**
The following propositions all imply one another: "

__Every__object**is**__either__black**or**not a raven ", "__Every__Raven**is**black ", and "__Every__non-black object**is**a non-raven**.**__Every__resultant

**is**

__either__a sum

**or**a difference

**of**the co-operant forces ; their sum, when their directions are the same -- their difference, when their directions are contrary

**.**

__Every__Duke thereafter has

__either__died without heirs

**or**succeeded to the Crown, and so has not been able to leave the Royal Family

**.**

__Every__destination in the topology table can be marked

__either__as " Passive ", which

**is**the state when the routing has stabilized and the router knows the route to the destination,

**or**" Active " when the topology has changed and the router

**is**in the process

**of**( actively ) updating its route to that destination

**.**

__Every__map that

**is**injective, continuous and

__either__open

**or**closed

**is**an embedding ; however there are also embeddings which are neither open nor closed

**.**

__Every__car uses

__either__a 5

**.**0 L Ford " Boss 302 " SVO

**or**a 5

**.**0 L Chevrolet small block race-engine ( depending on the make )-capable

**of**producing between 460 and 485 kW ( 620 — 650 bhp )

**of**power, but generally quoted as a little over 450 kW ( 600 bhp ) in race trim

**.**

Other sauces are

__either__prepared from scratch,**or**are variations on a basic curry sauce :< ref ><"__Every__restaurant has a large pan**of**this sauce always at hand, with the recipe varying only slightly from Chef to Chef**.**
Concerning the role

**of**clave in salsa music, Charley Gerard states: “ The clave feeling**is**in the music whether**or**not the claves are actually being played .”__Every__ostinato part which spans a cycle**of**four main beats, has a specific alignment with clave, and expresses the rhythmic qualities**of**clave__either__explicitly**or**implicitly**.**__Every__stream from

__either__side

**of**the valley has its large terraces to correspond with those

**of**the Passumpsic River

**.**

__Every__even-numbered year

__either__two

**or**three members are elected by the people to serve a four-year term

**.**

__Every__acre was owned by someone,

__either__a private individual

**or**by government in the form

**of**the Crown

**.**

The International Committee

**of**the Red Cross 1958 Commentary on 1949 Geneva Convention IV Relative to the Protection**of**Civilian Persons in Time**of**War states: "__Every__person in enemy hands must have some status under international law: he**is**__either__a prisoner**of**war and, as such, covered by the Third Convention, a civilian covered by the Fourth Convention,**or**again, a member**of**the medical personnel**of**the armed forces who**is**covered by the First Convention**.**0.225 seconds.