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Every finitely-generated R-module is a direct sum of these.

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## Some Related Sentences

Every and finitely-generated

A

__finitely-generated__abelian group**is**indecomposable if and only if it**is**isomorphic to Z or to**a**factor group**of**the form for some prime number p and some positive integer n**.**__Every____finitely-generated__abelian group**is****a****direct****sum****of**( finitely many ) indecomposable abelian groups**.**

Every and R-module

__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

**.**

This

**is**up to isomorphism the only indecomposable module over R**.**__Every__left__R-module__**is****a****direct****sum****of**( finitely or infinitely many ) copies**of**this module K < sup > n </ sup >.

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 direct

__Every__McIntosh apple has

**a**

__direct__lineage to

**a**single tree discovered in 1796 by John McIntosh on his farm in Dundela,

**a**hamlet near Morrisburg, in Dundas County, Ontario, Canada

**.**

__Every__aspect

**of**the methodology advocated in NKS

**is**optimized to make experimentation as

__direct__, easy, and meaningful as possible — while maximizing the chances that the experiment will do something unexpected

**.**

__Every__adverse effect

**is**the result

**of**

**a**set

**of**

__direct__factors, the absence

**of**any one

**of**which would have resulted in the effect having been different than it was

**.**

__Every__winter, second year students at HMS write,

__direct__, and perform

**a**full-length musical parody

**of**Harvard, their professors, and themselves

**.**

As stated by the WHO in its 2005 World Health Report " Make

__Every__Mother and Child Count ", the major causes**of**maternal deaths are: severe bleeding / hemorrhage ( 25 %), infections ( 13 %), unsafe abortions ( 13 %), eclampsia ( 12 %), obstructed labour ( 8 %), other__direct__causes ( 8 %), and indirect causes ( 20 %).__Every__other year, they have

**a**repertoire

**of**student-directed plays, in which students apply to

__direct__

**a**play

**of**their choice

**.**

*

__Every____direct__summand**of**M**is**pure in M**.**Consequently, every subspace**of****a**vector space over**a**field**is**pure**.**__Every__formally real Jordan algebra can be written as

**a**

__direct__

**sum**

**of**so-called simple ones, which are not themselves

__direct__sums in

**a**nontrivial way

**.**

The key amendment to the Criminal Code reads as follows: " 217

**.**1__Every__one who undertakes, or has the authority, to__direct__how another person does work or performs**a**task**is**under**a**legal duty to take reasonable steps to prevent bodily harm to that person, or any other person, arising from that work or task**.**__Every__international success was presented as

**a**

__direct__result

**of**the righteousness

**of**the communist rule and ideology

**.**

#

__Every__submodule**of**M**is****a**__direct__summand: for every submodule N**of**M, there**is****a**complement P such that M = N ⊕ P**.**__Every__quantum field theory satisfying certain technical assumptions about its S-matrix that has non-trivial interactions can only have

**a**symmetry Lie algebra which

**is**always

**a**

__direct__product

**of**the Poincaré group and an internal group if there

**is**

**a**mass gap: no mixing between

**these**two

**is**possible

**.**

__Every__member therefore has

**a**

__direct__vote on whether or not the pay

**of**their national officers and staff will be increased

**.**

*

__Every__serial between The Leisure Hive and The Five Doctors**is**linked in some way, either directly leading from one storyline to the next, or through__direct__reference**.**__Every__Columbia series alternated between the White and McCollum units, allowing Bernds to

__direct__the other Columbia comedians: Shemp Howard

**.**

* Provide

**a**Stake in the Outcome:__Every__employee should have**a**__direct__stake in the company's success-and in the risk**of**failure0.630 seconds.