For the Supposition of KARCEVSKIJ Sergej
Meaning Minimum of Language
Ocotober 5, 2011
[Preparation]
,
is graded ring and integral domain.
For negative e, 
.
.
R's quotient field element is called homogenious when R's quotient field element is ratio f/g of homogenious element 
.
.
Its degree is defined by 
.
.
<Definition>
At R's quotient field, subfield made by degree 0's whole homogenious elements,
,
is expressed by 
.
.
For homogenious element 
,
,
subring of field ,
,
,
is expressed by 
.
.
For graded ring,
,
algebraic variety that is quotient field that whole 
for homogenious element is gotten by gluing in common quotient field is expressed by Proj R.
is quotient field that whole for homogenious element is gotten by gluing in common quotient field is expressed by Proj R.
Proj R of graded ring
, ,
is called projective algebraic variety.
<Conposition>
Projective algebraic variety is complete.
◊
<System>
Moduli of hypersurface,
,
is complete algebraic variety.
◊
,
is sum set of,
, 
.
◊
[Interpretation]
Word is expressed by,
.
Meaning minimum of word is expressed by,
, .
For meaning minimum,
refer to the next.
[References]
This paper has been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by The Sekinan Research Field of Language
All rights reserved.
© 2011 by The Sekinan Research Field of Language
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