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* Every automorphism of a central simple algebra is an inner automorphism ( follows from Skolem – Noether theorem ).

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## Some Related Sentences

Every and automorphism

__Every__

**inner**

__automorphism__

**is**indeed

**an**

__automorphism__

**of**the group G, i. e. it

**is**

**a**bijective map

**from**G to G and it

**is**

**a**homomorphism ; meaning

**(**xy )< sup >

**a**</ sup >

__Every__non-inner

__automorphism__yields

**a**non-trivial element

**of**Out

**(**G ), but different non-inner automorphisms may yield the same element

**of**Out

**(**G

**).**

__Every__homomorphism

**of**the Petersen graph to itself that doesn't identify adjacent vertices

**is**

**an**

__automorphism__.

*****Let K < sup >

**a**</ sup > be

**an**algebraic closure

**of**K containing L.

__Every__embedding σ

**of**L in K < sup >

**a**</ sup > which restricts to the identity on K, satisfies σ

**(**L ) = L. In other words, σ

**is**

**an**

__automorphism__

**of**L over K.

Every and central

__Every__telephone company, whether large or small, determines its own ANAC for each individual

__central__office, which tends to perpetuate the current situation

**of**

**a**mess

**of**overlapping and / or spotty areas

**of**coverage.

__Every__year the

__central__business district

**(**with corners at the Municipal Building, Grand Street Fire House and Croton-Harmon High School )

**is**closed to automobile traffic for music, American food, local fund raisers, traveling, and local artists.

*****

__Every__finite-dimensional

**simple**

**algebra**over R must be

**a**matrix ring over R, C, or H.

__Every__

__central__

**simple**

**algebra**over R must be

**a**matrix ring over R or H. These results follow

**from**the Frobenius

**theorem**.

*****

__Every__finite-dimensional

**simple**

**algebra**over C must be

**a**matrix ring over C and hence every

__central__

**simple**

**algebra**over C must be

**a**matrix ring over C.

*****

__Every__finite-dimensional

__central__

**simple**

**algebra**over

**a**finite field must be

**a**matrix ring over that field.

*****

__Every__4-dimensional

__central__

**simple**

**algebra**over

**a**field F

**is**isomorphic to

**a**quaternion

**algebra**; in fact, it

**is**either

**a**two-by-two matrix

**algebra**, or

**a**division

**algebra**.

Dual citizenship was established

**(**Article 5**(**3 ): "__Every__Czechoslovak citizen**is**at the same time**a**citizen**of**the Czech Socialist Republic or the Slovak Socialist Republic "), and many**of**the former functions**of**the__central__government were instead placed under the jurisdiction**of**the two national governments.__Every__telephone company, whether large or small, determines its own ringback numbers for each individual

__central__office, which tends to perpetuate the current situation

**of**

**a**mess

**of**overlapping and / or spotty areas

**of**coverage.

__Every__summer,

**a**tourist train connects the ancient parts

**of**the city with museums, the

__central__railway station and the passenger ship terminal

**of**Krems.

__Every__year, at the end

**of**January, the offerings

**of**the members

**of**the society all over the world are forwarded to these

__central__bureaux, and the total amount

**is**divided among all the missions

**of**the earth.

*****Retzai

__Every__the Orthodox Amidah prayer, the

__central__prayer

**of**Jewish services, contains the paragraph: " Be favorable, Oh Lord our God, to your people Israel and their prayer, and restore the service

**of**the Holy

**of**Holies

**of**Your House, and accept the fire-offerings

**of**Israel and their prayer with love and favor, and may the service

**of**your people Israel always be favored.

*****County Party:

__Every__two years, between the primary election and 2 weeks after the general election, all the precinct committee people-the county party "

__central__Committee "-hold

**a**meeting and elect officers for the county party,

**a**chair, vice chair, secretary and treasurer.

__Every__connected topological group has

**a**unique universal cover as

**a**topological space, which has

**a**unique group structure as

**a**

__central__extension by the fundamental group.

__Every__year, thousands

**of**

__central__police and state police personnel are deployed to provide security to pilgrims

**from**potential terror threats.

__Every__glucosinolate contains

**a**

__central__carbon atom, which

**is**bound via

**a**sulfur atom to the thioglucose group

**(**making

**a**sulfated ketoxime ) and via

**a**nitrogen atom to

**a**sulfate group.

In mathematics,

**a**quaternion**algebra**over**a**field F**is****a**__central__**simple****algebra**A over F that has dimension 4 over F.__Every__quaternion**algebra**becomes the matrix**algebra**by extending scalars (= tensoring with**a**field extension ), i. e. for**a**suitable field extension K**of**F,**is**isomorphic to the 2 × 2 matrix**algebra**over K.

Every and simple

#

__Every____simple__path**from****a**given node to any**of**its descendant leaves contains the same number**of**black nodes.__Every__

__simple__R-module

**is**isomorphic to

**a**quotient R / m where m

**is**

**a**maximal right ideal

**of**R. By the above paragraph, any quotient R / m

**is**

**a**

__simple__module.

" I might easily have written this story in the traditional manner [...]

__Every__novelist knows the recipe [...] It**is**not very difficult to follow**a**__simple__, chronological scheme which the critics will understand [...] But I, after all, am trying to tell the story**of**this Chapelizod family in**a**new way.__Every__October, Moriarty plays host to the Pinto Bean Fiesta, which

**is**composed

**of**

**a**bunch

**of**

__simple__games in Crossly Park, as well as

**a**parade and crowning

**of**

**a**" Pinto Bean Queen.

__Every__one

**of**the infinitely many vertices

**of**G can be reached

**from**v < sub > 1 </ sub > with

**a**

__simple__path, and each such path must start with one

**of**the finitely many vertices adjacent to v < sub > 1 </ sub >.

__Every__hour that Napoleon could have attacked earlier as he did, would have been

**is**his favour, but the French could not attack in the morning for the

__simple__reason that the entire army had not yet taken its battle positions.

__Every__closed curve c on X

**is**homologous to for some

__simple__closed curves c < sub > i </ sub >, that

**is**,

# Personal right:

__Every__person has**a**right to life but this right**is**restricted and has attached certain duties**–**__simple__living**is**essential.__Every__Sámi settlement had its seita, which had no regular shape, and might consist

**of**smooth or odd-looking stones picked out

**of**

**a**stream,

**of**

**a**small pile

**of**stones,

**of**

**a**tree-stump, or

**of**

**a**

__simple__post.

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