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Some Related Sentences
Every and module
Every module over
a division ring
has a basis ; linear maps between finite-dimensional modules over
a division ring can be described by matrices
, and the Gaussian elimination algorithm remains applicable
.
Every library
module has at least two source files:
a definitions file specifying
the library's interface plus one or more program files specifying
the implementation
of the procedures in
the interface
.
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.
Every simple
module is indecomposable
, but
the converse
is in general not true
.
Every simple
module is cyclic
, that
is it
is generated by one element
.
Every injective
module can be decomposed as direct sum
of indecomposable injective modules
.
Every vector space
is free
, and the free vector space on
a set
is a special case
of a free
module on
a set
.

*
Every module over
a field or skew field
is projective ( even free ).

*
Every projective
module is flat
.
Every module possesses
a projective resolution
.
Every module of the form H *
is algebraically compact
.
Every indecomposable algebraically compact
module has a local endomorphism ring
.

*
Every module M has an injective hull
.

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 simple
module is indecomposable
.
Every ring which
is semisimple as
a module over itself
has zero Jacobson radical
, but not
every ring with zero Jacobson radical
is semisimple as
a module over itself
.

*
Every module can focus on what it
is designed for
.
Every superfield
, i
. e
. a field that depends on all coordinates
of the superspace ( or in other words
, an element
of a module of the algebra
of functions over superspace ), may be expanded with respect
to the new fermionic coordinates
.
Every and M

*
Every rectangle R
is in
M. If
the rectangle
has length h
and breadth k then
a ( R ) =
Every song they wrote was written with an eye toward giving it " deep hidden meaning " or D
. H
. 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.

# " 5
. 06 A
. M. (
Every Strangers ' Eyes )"

:
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 endomorphism
of M is either nilpotent or invertible
.
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 year
the department admits students for it
M. A / MSc.,
M. Phil
and Ph
. D courses
.

*
Every direct summand
of M is pure in
M. Consequently
, every subspace
of a vector space over
a field
is pure
.
Every and has
Every soldier in
the army
has, somewhere
, relatives who are close
to starvation
.
Every woman
has had
the experience
of saying no when she meant yes
, and saying yes when she meant no
.
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 calculation
has been made independently by two workers
and checked by one
of the editors
.
Every retiring person
has a different situation facing him
.
Every family
of Riviera Presbyterian Church
has been asked
to read
the Bible
and pray together daily during National Christian Family Week
and to undertake one project in which all members
of the family participate
.
Every community
, if it
is alive
has a spirit
, and that spirit
is the center
of its unity
and identity
.

``
Every woman in
the block
has tried that ''
.

:
Every set
has a choice function
.
Every such subset
has a smallest element
, so
to specify our choice function we can simply say that it maps each set
to the least element
of that set
.

**
Every surjective function
has a right inverse
.

** Zorn's lemma:
Every non-empty partially ordered set in which
every chain ( i
. e
. totally ordered subset )
has an upper bound contains at least one maximal element
.

The restricted principle "
Every partially ordered set
has a maximal totally ordered subset "
is also equivalent
to AC over ZF
.

** Tukey's lemma:
Every non-empty collection
of finite character
has a maximal element with respect
to inclusion
.

** Antichain principle:
Every partially ordered set
has a maximal antichain
.

**
Every vector space
has a basis
.

*
Every small category
has a skeleton
.

*
Every continuous functor on
a small-complete category which satisfies
the appropriate solution set condition
has a left-adjoint (
the Freyd adjoint functor theorem ).

**
Every field
has an algebraic closure
.

**
Every field extension
has a transcendence basis
.

**
Every Tychonoff space
has a Stone – Čech compactification
.
Every unit
of length has a corresponding unit
of area
, namely
the area
of a square with
the given side
length.
Every field
has an algebraic extension which
is algebraically closed ( called its algebraic closure ), but proving this in general requires some form
of the axiom
of choice
.
Every ATM cell
has an 8-or 12-bit Virtual Path Identifier ( VPI )
and 16-bit Virtual Channel Identifier ( VCI ) pair defined in its header
.
0.553 seconds.